mxe-octave: src/of-specfun-1-deprecated.patch annotate

annotate src/of-specfun-1-deprecated.patch @ 7207:9ed6500e56d3 default tip @

maint: Merge release to default.

author	Markus Mützel <markus.muetzel@gmx.de>
date	Fri, 17 May 2024 20:16:41 +0200
parents	79edc3a96749
children

rev	line source
4931 79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1 # HG changeset patch
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	2 # User carandraug
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	3 # Date 1367241519 0
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	4 # Mon Apr 29 13:18:39 2013 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	5 # Node ID fba373975f9fbf1ab368727b3243681d8e8010da
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	6 # Parent 218107f7d15193bc2d88071cf747388091783a83
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	7 specfun: removing ellipj, ellipke, and expint (merged into octave core)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	8 (grafted from 153e6946b5cb58c22af6a28cbb7c37d9fdf4a892)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	9
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	10 diff -r 218107f7d151 -r fba373975f9f inst/ellipke.m
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	11 --- a/inst/ellipke.m Thu Dec 15 02:18:02 2011 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	12 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	13 @@ -1,125 +0,0 @@
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	14 -## Copyright (C) 2001 David Billinghurst
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	15 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	16 -## This program is free software; you can redistribute it and/or modify
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	17 -## it under the terms of the GNU General Public License as published by
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	18 -## the Free Software Foundation; either version 3 of the License, or
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	19 -## (at your option) any later version.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	20 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	21 -## This program is distributed in the hope that it will be useful,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	22 -## but WITHOUT ANY WARRANTY; without even the implied warranty of
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	23 -## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	24 -## GNU General Public License for more details.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	25 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	26 -## You should have received a copy of the GNU General Public License
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	27 -## along with this program; If not, see <http://www.gnu.org/licenses/>.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	28 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	29 -## -- texinfo --
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	30 -## @deftypefn {Function File} {[@var{k}, @var{e}] =} ellipke (@var{m}[,@var{tol}])
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	31 -## Compute complete elliptic integral of first K(@var{m}) and second E(@var{m}).
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	32 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	33 -## @var{m} is either real array or scalar with 0 <= m <= 1
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	34 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	35 -## @var{tol} will be ignored (@sc{Matlab} uses this to allow faster, less
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	36 -## accurate approximation)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	37 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	38 -## Ref: Abramowitz, Milton and Stegun, Irene A. Handbook of Mathematical
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	39 -## Functions, Dover, 1965, Chapter 17.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	40 -## @seealso{ellipj}
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	41 -## @end deftypefn
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	42 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	43 -## Author: David Billinghurst <David.Billinghurst@riotinto.com>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	44 -## Created: 31 January 2001
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	45 -## 2001-02-01 Paul Kienzle
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	46 -## * vectorized
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	47 -## * included function name in error messages
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	48 -## 2003-1-18 Jaakko Ruohio
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	49 -## * extended for m < 0
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	50 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	51 -function [k,e] = ellipke( m )
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	52 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	53 - if (nargin < 1 \|\| nargin > 2)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	54 - print_usage;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	55 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	56 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	57 - k = e = zeros(size(m));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	58 - m = m(:);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	59 - if any(~isreal(m))
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	60 - error("ellipke must have real m");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	61 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	62 - if any(m>1)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	63 - error("ellipke must have m <= 1");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	64 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	65 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	66 - Nmax = 16;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	67 - idx = find(m == 1);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	68 - if (!isempty(idx))
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	69 - k(idx) = Inf;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	70 - e(idx) = 1.0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	71 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	72 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	73 - idx = find(m == -Inf);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	74 - if (!isempty(idx))
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	75 - k(idx) = 0.0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	76 - e(idx) = Inf;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	77 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	78 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	79 - ## Arithmetic-Geometric Mean (AGM) algorithm
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	80 - ## ( Abramowitz and Stegun, Section 17.6 )
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	81 - idx = find(m != 1 & m != -Inf);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	82 - if (!isempty(idx))
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	83 - idx_neg = find(m < 0 & m != -Inf);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	84 - mult_k = 1./sqrt(1-m(idx_neg));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	85 - mult_e = sqrt(1-m(idx_neg));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	86 - m(idx_neg) = -m(idx_neg)./(1-m(idx_neg));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	87 - a = ones(length(idx),1);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	88 - b = sqrt(1.0-m(idx));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	89 - c = sqrt(m(idx));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	90 - f = 0.5;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	91 - sum = fc.c;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	92 - for n = 2:Nmax
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	93 - t = (a+b)/2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	94 - c = (a-b)/2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	95 - b = sqrt(a.*b);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	96 - a = t;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	97 - f = f * 2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	98 - sum = sum + fc.c;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	99 - if all(c./a < eps), break; endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	100 - endfor
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	101 - if n >= Nmax, error("ellipke: not enough workspace"); endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	102 - k(idx) = 0.5*pi./a;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	103 - e(idx) = 0.5pi.(1.0-sum)./a;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	104 - k(idx_neg) = mult_k.*k(idx_neg);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	105 - e(idx_neg) = mult_e.*e(idx_neg);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	106 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	107 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	108 -endfunction
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	109 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	110 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	111 -%! ## Test complete elliptic functions of first and second kind
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	112 -%! ## against "exact" solution from Mathematica 3.0
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	113 -%! ##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	114 -%! ## David Billinghurst <David.Billinghurst@riotinto.com>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	115 -%! ## 1 February 2001
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	116 -%! m = [0.0; 0.01; 0.1; 0.5; 0.9; 0.99; 1.0 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	117 -%! [k,e] = ellipke(m);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	118 -%!
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	119 -%! # K(1.0) is really infinity - see below
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	120 -%! K = [
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	121 -%! 1.5707963267948966192;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	122 -%! 1.5747455615173559527;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	123 -%! 1.6124413487202193982;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	124 -%! 1.8540746773013719184;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	125 -%! 2.5780921133481731882;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	126 -%! 3.6956373629898746778;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	127 -%! 0.0 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	128 -%! E = [
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	129 -%! 1.5707963267948966192;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	130 -%! 1.5668619420216682912;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	131 -%! 1.5307576368977632025;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	132 -%! 1.3506438810476755025;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	133 -%! 1.1047747327040733261;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	134 -%! 1.0159935450252239356;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	135 -%! 1.0 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	136 -%! if k(7)==Inf, k(7)=0.0; endif;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	137 -%! assert(K,k,8*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	138 -%! assert(E,e,8*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	139 diff -r 218107f7d151 -r fba373975f9f inst/expint.m
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	140 --- a/inst/expint.m Thu Dec 15 02:18:02 2011 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	141 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	142 @@ -1,34 +0,0 @@
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	143 -## Copyright (C) 2006 Sylvain Pelissier <sylvain.pelissier@gmail.com>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	144 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	145 -## This program is free software; you can redistribute it and/or modify
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	146 -## it under the terms of the GNU General Public License as published by
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	147 -## the Free Software Foundation; either version 3 of the License, or
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	148 -## (at your option) any later version.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	149 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	150 -## This program is distributed in the hope that it will be useful,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	151 -## but WITHOUT ANY WARRANTY; without even the implied warranty of
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	152 -## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	153 -## GNU General Public License for more details.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	154 -##
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	155 -## You should have received a copy of the GNU General Public License
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	156 -## along with this program; If not, see <http://www.gnu.org/licenses/>.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	157 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	158 -## -- texinfo --
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	159 -## @deftypefn {Function File} {@var{y} =} expint (@var{x})
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	160 -## Compute the exponential integral,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	161 -## @verbatim
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	162 -## infinity
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	163 -## /
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	164 -## expint(x) = \| exp(t)/t dt
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	165 -## /
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	166 -## x
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	167 -## @end verbatim
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	168 -## @seealso{expint_E1, expint_Ei}
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	169 -## @end deftypefn
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	170 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	171 -function y = expint(x)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	172 - if (nargin != 1)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	173 - print_usage;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	174 - endif
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	175 - y = expint_E1(x);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	176 -endfunction
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	177 diff -r 218107f7d151 -r fba373975f9f src/Makefile
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	178 --- a/src/Makefile Thu Dec 15 02:18:02 2011 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	179 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	180 @@ -1,6 +0,0 @@
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	181 -all: ellipj.oct
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	182 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	183 -%.oct: %.cc
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	184 - mkoctfile -s $<
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	185 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	186 -clean: ; -rm .o core octave-core .oct *~
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	187 diff -r 218107f7d151 -r fba373975f9f src/ellipj.cc
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	188 --- a/src/ellipj.cc Thu Dec 15 02:18:02 2011 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	189 +++ /dev/null Thu Jan 01 00:00:00 1970 +0000
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	190 @@ -1,909 +0,0 @@
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	191 -/*
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	192 - Copyright (C) 2001 Leopoldo Cerbaro <redbliss@libero.it>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	193 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	194 - This program is free software; you can redistribute it and/or modify
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	195 - it under the terms of the GNU General Public License as published by
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	196 - the Free Software Foundation; either version 3 of the License, or
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	197 - (at your option) any later version.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	198 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	199 - This program is distributed in the hope that it will be useful,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	200 - but WITHOUT ANY WARRANTY; without even the implied warranty of
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	201 - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	202 - GNU General Public License for more details.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	203 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	204 - You should have received a copy of the GNU General Public License
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	205 - along with this program; If not, see <http://www.gnu.org/licenses/>.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	206 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	207 - Compute the Jacobi elliptic functions sn(u\|m), cn(u\|m) and dn(u\|m) for
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	208 - argument u (real or complex) and parameter m.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	209 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	210 - usage: [sn,cn,dn] = ellipj(u,m[,tol])
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	211 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	212 - u and can be complex.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	213 - m is restricted to 0 <= m <= 1.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	214 - They can be scalars, matrix and scalar, scalar and matrix,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	215 - column and row, conformant matrices.
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	216 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	217 - modified so u can be complex. Leopoldo Cerbaro redbliss@libero.it
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	218 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	219 - Ref: Abramowitz, Milton and Stegun, Irene A
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	220 - Handbook of Mathematical Functions, Dover, 1965
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	221 - Chapter 16 (Sections 16.4, 16.13 and 16.15)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	222 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	223 - Based upon ellipj.m made by David Billinghurst <David.Billinghurst@riotinto.com>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	224 - and besselj.cc
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	225 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	226 - Author: Leopoldo Cerbaro <redbliss@libero.it>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	227 - Created: 15 December 2001
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	228 -*/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	229 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	230 -#include "oct.h"
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	231 -#include "lo-ieee.h" /* for octave_NaN */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	232 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	233 -static void
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	234 -gripe_ellipj_arg ( const char *arg)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	235 -{
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	236 - error ("ellipj: expecting scalar or matrix as %s argument", arg);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	237 -}
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	238 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	239 -const double eps = 2.220446049e-16;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	240 -const int Nmax = 16;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	241 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	242 -static void
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	243 -sncndn ( double u, double m, double& sn, double& cn, double& dn, double& err) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	244 -/* real */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	245 -double sqrt_eps, m1, t=0., si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	246 -int n, Nn, ii;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	247 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	248 - if (m < 0. \|\| m > 1.) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	249 - warning ("ellipj: expecting 0. <= m <= 1."); /* -lc- */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	250 - sn = cn = dn = lo_ieee_nan_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	251 - return;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	252 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	253 - sqrt_eps = sqrt(eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	254 - if (m < sqrt_eps) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	255 - /* # For small m, ( Abramowitz and Stegun, Section 16.13 ) */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	256 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	257 - si_u = sin(u);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	258 - co_u = cos(u);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	259 - t = 0.25m(u-si_u*co_u);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	260 - sn = si_u - t * co_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	261 - cn = co_u + t * si_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	262 - dn = 1.0 - 0.5msi_u*si_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	263 -/}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	264 - } else if ( (1.0 - m) < sqrt_eps ) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	265 - /* For m1 = (1-m) small ( Abramowitz and Stegun, Section 16.15 ) */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	266 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	267 - m1 = 1.0-m;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	268 - si_u = sinh(u);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	269 - co_u = cosh(u);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	270 - ta_u = tanh(u);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	271 - se_u = 1.0/co_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	272 - sn = ta_u + 0.25m1(si_uco_u-u)se_u*se_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	273 - cn = se_u - 0.25m1(si_uco_u-u)ta_u*se_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	274 - dn = se_u + 0.25m1(si_uco_u+u)ta_u*se_u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	275 -/}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	276 - } else {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	277 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	278 - /*
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	279 - // Arithmetic-Geometric Mean (AGM) algorithm
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	280 - // ( Abramowitz and Stegun, Section 16.4 )
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	281 - */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	282 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	283 - a[0] = 1.0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	284 - b = sqrt(1.0-m);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	285 - c[0] = sqrt(m);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	286 - for (n = 1; n<Nmax; ++n) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	287 - a[n] = (a[n-1]+b)/2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	288 - c[n] = (a[n-1]-b)/2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	289 - b = sqrt(a[n-1]*b);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	290 - if ( c[n]/a[n] < eps) break;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	291 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	292 - if ( n >= Nmax-1) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	293 - // fprintf(stderr, "Not enough workspace\n");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	294 - err = 1.;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	295 - return;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	296 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	297 - Nn = n;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	298 - for ( ii = 1; n>0; ii = ii*2, --n) ; // pow(2, Nn)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	299 - phi = iia[Nn]u;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	300 - for ( n = Nn; n > 0; --n) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	301 - t = phi;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	302 - phi = (asin((c[n]/a[n])* sin(phi))+phi)/2.;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	303 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	304 - sn = sin(phi);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	305 - cn = cos(phi);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	306 - dn = cn/cos(t-phi);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	307 -/}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	308 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	309 - return;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	310 -}
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	311 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	312 -static void
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	313 -sncndn ( Complex& u, double m,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	314 - Complex& sn, Complex& cn, Complex& dn, double& err) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	315 -double m1 = 1.-m, ss1, cc1, dd1;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	316 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	317 - sncndn( imag(u), m1, ss1, cc1, dd1, err);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	318 - if ( real(u) == 0.) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	319 - /* u is pure imag: Jacoby imag. transf. */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	320 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	321 - sn = Complex (0. , ss1/cc1);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	322 - cn = 1/cc1; // cn.imag = 0.;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	323 - dn = dd1/cc1; // dn.imag = 0.;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	324 - /}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	325 - } else {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	326 - /* u is generic complex */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	327 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	328 - double ss, cc, dd, ddd;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	329 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	330 - sncndn( real(u), m, ss, cc, dd, err);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	331 - ddd = cc1cc1 + mssssss1*ss1;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	332 - sn = Complex (ssdd1/ddd, ccddss1cc1/ddd);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	333 - cn = Complex (cccc1/ddd, -ssddss1dd1/ddd);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	334 - dn = Complex (ddcc1dd1/ddd, -msscc*ss1/ddd);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	335 - /}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	336 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	337 - return;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	338 -}
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	339 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	340 -DEFUN_DLD (ellipj, args, nargout,
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	341 - "-- texinfo --\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	342 -@deftypefn {Loadable Function} {[@var{sn}, @var{cn}, @var{dn}] =} \
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	343 -ellipj (@var{u}, @var{m}, @var{err})\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	344 -Compute the Jacobi elliptic functions sn, cn, dn of complex argument and real parameter.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	345 -\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	346 -If @var{m} is a scalar, the results are the same size as @var{u}.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	347 -If @var{u} is a scalar, the results are the same size as @var{m}.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	348 -If @var{u} is a column vector and @var{m} is a row vector, the\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	349 -results are matrices with @code{length (@var{u})} rows and\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	350 -@code{length (@var{m})} columns. Otherwise, @var{u} and\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	351 -@var{m} must conform and the results will be the same size.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	352 -\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	353 -The value of @var{u} may be complex.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	354 -The value of @var{m} must be 0 <= m <= 1. .\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	355 -\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	356 -If requested, @var{err} contains the following status information\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	357 -and is the same size as the result.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	358 -\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	359 -@enumerate 0\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	360 -@item\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	361 -Normal return.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	362 -@item\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	363 -Error---no computation, algorithm termination condition not met,\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	364 -return @code{NaN}.\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	365 -@end enumerate\n\
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	366 -@end deftypefn")
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	367 -{
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	368 - octave_value_list retval;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	369 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	370 - int nargin = args.length ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	371 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	372 - if (nargin == 2 ) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	373 - octave_value u_arg = args(0);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	374 - octave_value m_arg = args(1);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	375 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	376 - if (m_arg.is_scalar_type ()) { // m is scalar
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	377 - double m = args(1).double_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	378 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	379 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	380 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	381 - if (u_arg.is_scalar_type ()) { /* u scalar */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	382 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	383 - if (u_arg.is_real_type ()) { // u real
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	384 - double u = args(0).double_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	385 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	386 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	387 - double sn, cn, dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	388 - double err=0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	389 - octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	390 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	391 - sncndn(u, m, sn, cn, dn, err);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	392 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	393 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	394 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	395 - if (nargout > 3)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	396 - retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	397 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	398 - gripe_ellipj_arg ( "first");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	399 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	400 - } else { // u complex
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	401 - Complex u = u_arg.complex_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	402 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	403 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	404 - Complex sn, cn, dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	405 - double err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	406 - octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	407 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	408 - sncndn( u, m, sn, cn, dn, err);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	409 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	410 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	411 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	412 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	413 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	414 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	415 - gripe_ellipj_arg ( "second");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	416 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	417 - /}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	418 - } else { /* u is matrix ( m is scalar ) */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	419 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	420 - ComplexMatrix u = u_arg.complex_matrix_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	421 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	422 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	423 - octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	424 - int nr = u.rows ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	425 - int nc = u.cols ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	426 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	427 - ComplexMatrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	428 - Matrix err (nr, nc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	429 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	430 - for (int j = 0; j < nc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	431 - for (int i = 0; i < nr; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	432 - sncndn (u(i,j), m, sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	433 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	434 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	435 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	436 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	437 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	438 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	439 - gripe_ellipj_arg ( "first");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	440 - /}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	441 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	442 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	443 - gripe_ellipj_arg ( "second");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	444 - } else { // m is matrix
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	445 - Matrix m = args(1).matrix_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	446 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	447 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	448 - int mr = m.rows ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	449 - int mc = m.cols ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	450 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	451 - if (u_arg.is_scalar_type ()) { /* u is scalar */
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	452 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	453 - octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	454 - int nr = m.rows ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	455 - int nc = m.cols ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	456 - Matrix err (nr, nc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	457 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	458 - if (u_arg.is_real_type ()) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	459 - double u = u_arg.double_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	460 - Matrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	461 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	462 - for (int j = 0; j < nc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	463 - for (int i = 0; i < nr; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	464 - sncndn (u, m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	465 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	466 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	467 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	468 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	469 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	470 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	471 - gripe_ellipj_arg ( "first");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	472 - } else {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	473 - Complex u = u_arg.complex_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	474 - ComplexMatrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	475 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	476 - for (int j = 0; j < nc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	477 - for (int i = 0; i < nr; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	478 - sncndn (u, m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	479 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	480 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	481 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	482 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	483 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	484 - gripe_ellipj_arg ( "first");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	485 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	486 - /}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	487 - } else { // u is matrix (m is matrix)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	488 - /{{{/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	489 - if (u_arg.is_real_type ()) { // u real matrix
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	490 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	491 - Matrix u = u_arg.matrix_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	492 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	493 - int ur = u.rows ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	494 - int uc = u.cols ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	495 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	496 - if (mr == 1 && uc == 1) { // u column, m row
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	497 - RowVector rm = m.row ((octave_idx_type)0);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	498 - ColumnVector cu = u.column ((octave_idx_type)0);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	499 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	500 - Matrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	501 - Matrix err(ur,mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	502 -// octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	503 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	504 - for (int j = 0; j < mc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	505 - for (int i = 0; i < ur; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	506 - sncndn (cu(i), rm(j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	507 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	508 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	509 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	510 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	511 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	512 - } else if (ur == mr && uc == mc) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	513 - Matrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	514 - Matrix err(ur,mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	515 -// octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	516 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	517 - for (int j = 0; j < uc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	518 - for (int i = 0; i < ur; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	519 - sncndn (u(i,j), m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	520 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	521 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	522 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	523 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	524 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	525 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	526 - error("u m invalid");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	527 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	528 - gripe_ellipj_arg ( "first ");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	529 - } else { // u complex matrix
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	530 - ComplexMatrix u = u_arg.complex_matrix_value ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	531 - if (! error_state) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	532 - int ur = u.rows ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	533 - int uc = u.cols ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	534 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	535 - if (mr == 1 && uc == 1) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	536 - RowVector rm = m.row ((octave_idx_type)0);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	537 - ComplexColumnVector cu = u.column ((octave_idx_type)0);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	538 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	539 - ComplexMatrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	540 - Matrix err(ur,mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	541 -// octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	542 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	543 - for (int j = 0; j < mc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	544 - for (int i = 0; i < ur; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	545 - sncndn (cu(i), rm(j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	546 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	547 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	548 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	549 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	550 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	551 - } else if (ur == mr && uc == mc) {
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	552 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	553 - ComplexMatrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	554 - Matrix err(ur,mc);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	555 -// octave_value result;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	556 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	557 - for (int j = 0; j < uc; j++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	558 - for (int i = 0; i < ur; i++)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	559 - sncndn (u(i,j), m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	560 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	561 - retval (0) = sn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	562 - retval (1) = cn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	563 - retval (2) = dn;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	564 - if (nargout > 3) retval(3) = err;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	565 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	566 - error("u m invalid");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	567 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	568 - gripe_ellipj_arg ( "second");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	569 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	570 - /}}}/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	571 - }
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	572 - } else
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	573 - gripe_ellipj_arg ( "second");
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	574 - } // m matrix
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	575 - } else // wrong n. of argin
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	576 - print_usage ();
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	577 - return retval;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	578 -}
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	579 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	580 -/*
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	581 -## demos taken from inst/ellipj.m
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	582 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	583 -%!demo
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	584 -%! N = 150;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	585 -%! % m = [1-logspace(0,log(eps),N-1), 1]; ## m near 1
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	586 -%! % m = [0, logspace(log(eps),0,N-1)]; ## m near 0
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	587 -%! m = linspace(0,1,N); ## m equally spaced
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	588 -%! u = linspace(-20,20,N);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	589 -%! M = ones(length(u),1) * m;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	590 -%! U = u' * ones(1, length(m));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	591 -%! [sn, cn, dn] = ellipj(U,M);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	592 -%!
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	593 -%! %% Plotting
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	594 -%! figure(2)
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	595 -%! c = colormap(hot(64));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	596 -%! data = {sn,cn,dn};
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	597 -%! dname = {"sn","cn","dn"};
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	598 -%! for i=1:3
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	599 -%! subplot(1,3,i);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	600 -%! image(m,u,32*clip(data{i},[-1,1])+32); # clip function belongs to audio package
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	601 -%! title(dname{i});
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	602 -%! end
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	603 -%! colormap(c);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	604 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	605 -%!demo
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	606 -%! N = 200;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	607 -%! % m = [1-logspace(0,log(eps),N-1), 1]; ## m near 1
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	608 -%! % m = [0, logspace(log(eps),0,N-1)]; ## m near 0
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	609 -%! m = linspace(0,1,N); ## m equally spaced
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	610 -%! u = linspace(0,20,5);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	611 -%! M = ones(length(u),1) * m;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	612 -%! U = u' * ones(1, length(m));
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	613 -%! [sn, cn, dn] = ellipj(U,M);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	614 -%!
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	615 -%! %% Plotting
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	616 -%! data = {sn,cn,dn};
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	617 -%! dname = {"sn","cn","dn"};
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	618 -%! for i=1:3
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	619 -%! subplot(1,3,i);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	620 -%! plot(m, data{i});
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	621 -%! title(dname{i});
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	622 -%! grid on;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	623 -%! end
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	624 -*/
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	625 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	626 -/*
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	627 -## tests taken from inst/test_sncndn.m
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	628 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	629 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	630 -%! k = (tan(pi/8.))^2; m = k*k;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	631 -%! SN = [
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	632 -%! -1. + I * 0. , -0.8392965923 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	633 -%! -1. + I * 0.2 , -0.8559363407 + 0.108250955 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	634 -%! -1. + I * 0.4 , -0.906529758 + 0.2204040232 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	635 -%! -1. + I * 0.6 , -0.9931306727 + 0.3403783409 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	636 -%! -1. + I * 0.8 , -1.119268095 + 0.4720784944 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	637 -%! -1. + I * 1. , -1.29010951 + 0.6192468708 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	638 -%! -1. + I * 1.2 , -1.512691987 + 0.7850890595 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	639 -%! -1. + I * 1.4 , -1.796200374 + 0.9714821804 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	640 -%! -1. + I * 1.6 , -2.152201882 + 1.177446413 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	641 -%! -1. + I * 1.8 , -2.594547417 + 1.396378892 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	642 -%! -1. + I * 2. , -3.138145339 + 1.611394819 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	643 -%! -0.8 + I * 0. , -0.7158157937 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	644 -%! -0.8 + I * 0.2 , -0.7301746722 + 0.1394690862 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	645 -%! -0.8 + I * 0.4 , -0.7738940898 + 0.2841710966 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	646 -%! -0.8 + I * 0.6 , -0.8489542135 + 0.4394411376 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	647 -%! -0.8 + I * 0.8 , -0.9588386397 + 0.6107824358 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	648 -%! -0.8 + I * 1. , -1.108848724 + 0.8038415767 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	649 -%! -0.8 + I * 1.2 , -1.306629972 + 1.024193359 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	650 -%! -0.8 + I * 1.4 , -1.563010199 + 1.276740951 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	651 -%! -0.8 + I * 1.6 , -1.893274688 + 1.564345558 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	652 -%! -0.8 + I * 1.8 , -2.318944084 + 1.88491973 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	653 -%! -0.8 + I * 2. , -2.869716809 + 2.225506523 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	654 -%! -0.6 + I * 0. , -0.5638287208 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	655 -%! -0.6 + I * 0.2 , -0.5752723012 + 0.1654722474 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	656 -%! -0.6 + I * 0.4 , -0.610164314 + 0.3374004736 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	657 -%! -0.6 + I * 0.6 , -0.6702507087 + 0.5224614298 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	658 -%! -0.6 + I * 0.8 , -0.7586657365 + 0.7277663879 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	659 -%! -0.6 + I * 1. , -0.8803349115 + 0.9610513652 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	660 -%! -0.6 + I * 1.2 , -1.042696526 + 1.230800819 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	661 -%! -0.6 + I * 1.4 , -1.256964505 + 1.546195843 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	662 -%! -0.6 + I * 1.6 , -1.540333527 + 1.916612621 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	663 -%! -0.6 + I * 1.8 , -1.919816065 + 2.349972151 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	664 -%! -0.6 + I * 2. , -2.438761841 + 2.848129496 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	665 -%! -0.4 + I * 0. , -0.3891382858 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	666 -%! -0.4 + I * 0.2 , -0.3971152026 + 0.1850563793 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	667 -%! -0.4 + I * 0.4 , -0.4214662882 + 0.3775700801 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	668 -%! -0.4 + I * 0.6 , -0.4635087491 + 0.5853434119 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	669 -%! -0.4 + I * 0.8 , -0.5256432877 + 0.8168992398 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	670 -%! -0.4 + I * 1. , -0.611733177 + 1.081923504 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	671 -%! -0.4 + I * 1.2 , -0.7278102331 + 1.391822501 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	672 -%! -0.4 + I * 1.4 , -0.8833807998 + 1.760456461 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	673 -%! -0.4 + I * 1.6 , -1.093891878 + 2.205107766 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	674 -%! -0.4 + I * 1.8 , -1.385545188 + 2.747638761 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	675 -%! -0.4 + I * 2. , -1.805081271 + 3.41525351 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	676 -%! -0.2 + I * 0. , -0.1986311721 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	677 -%! -0.2 + I * 0.2 , -0.2027299916 + 0.1972398665 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	678 -%! -0.2 + I * 0.4 , -0.2152524522 + 0.402598347 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	679 -%! -0.2 + I * 0.6 , -0.2369100139 + 0.6246336356 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	680 -%! -0.2 + I * 0.8 , -0.2690115146 + 0.8728455227 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	681 -%! -0.2 + I * 1. , -0.3136938773 + 1.158323088 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	682 -%! -0.2 + I * 1.2 , -0.3743615191 + 1.494672508 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	683 -%! -0.2 + I * 1.4 , -0.4565255082 + 1.899466033 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	684 -%! -0.2 + I * 1.6 , -0.5694611346 + 2.39667232 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	685 -%! -0.2 + I * 1.8 , -0.7296612675 + 3.020990664 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	686 -%! -0.2 + I * 2. , -0.9685726188 + 3.826022536 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	687 -%! 0. + I * 0. , 0. + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	688 -%! 0. + I * 0.2 , 0. + 0.201376364 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	689 -%! 0. + I * 0.4 , 0. + 0.4111029248 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	690 -%! 0. + I * 0.6 , 0. + 0.6380048435 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	691 -%! 0. + I * 0.8 , 0. + 0.8919321473 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	692 -%! 0. + I * 1. , 0. + 1.184486615 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	693 -%! 0. + I * 1.2 , 0. + 1.530096023 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	694 -%! 0. + I * 1.4 , 0. + 1.947754612 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	695 -%! 0. + I * 1.6 , 0. + 2.464074356 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	696 -%! 0. + I * 1.8 , 0. + 3.119049475 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	697 -%! 0. + I * 2. , 0. + 3.97786237 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	698 -%! 0.2 + I * 0. , 0.1986311721 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	699 -%! 0.2 + I * 0.2 , 0.2027299916 + 0.1972398665 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	700 -%! 0.2 + I * 0.4 , 0.2152524522 + 0.402598347 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	701 -%! 0.2 + I * 0.6 , 0.2369100139 + 0.6246336356 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	702 -%! 0.2 + I * 0.8 , 0.2690115146 + 0.8728455227 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	703 -%! 0.2 + I * 1. , 0.3136938773 + 1.158323088 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	704 -%! 0.2 + I * 1.2 , 0.3743615191 + 1.494672508 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	705 -%! 0.2 + I * 1.4 , 0.4565255082 + 1.899466033 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	706 -%! 0.2 + I * 1.6 , 0.5694611346 + 2.39667232 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	707 -%! 0.2 + I * 1.8 , 0.7296612675 + 3.020990664 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	708 -%! 0.2 + I * 2. , 0.9685726188 + 3.826022536 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	709 -%! 0.4 + I * 0. , 0.3891382858 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	710 -%! 0.4 + I * 0.2 , 0.3971152026 + 0.1850563793 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	711 -%! 0.4 + I * 0.4 , 0.4214662882 + 0.3775700801 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	712 -%! 0.4 + I * 0.6 , 0.4635087491 + 0.5853434119 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	713 -%! 0.4 + I * 0.8 , 0.5256432877 + 0.8168992398 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	714 -%! 0.4 + I * 1. , 0.611733177 + 1.081923504 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	715 -%! 0.4 + I * 1.2 , 0.7278102331 + 1.391822501 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	716 -%! 0.4 + I * 1.4 , 0.8833807998 + 1.760456461 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	717 -%! 0.4 + I * 1.6 , 1.093891878 + 2.205107766 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	718 -%! 0.4 + I * 1.8 , 1.385545188 + 2.747638761 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	719 -%! 0.4 + I * 2. , 1.805081271 + 3.41525351 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	720 -%! 0.6 + I * 0. , 0.5638287208 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	721 -%! 0.6 + I * 0.2 , 0.5752723012 + 0.1654722474 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	722 -%! 0.6 + I * 0.4 , 0.610164314 + 0.3374004736 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	723 -%! 0.6 + I * 0.6 , 0.6702507087 + 0.5224614298 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	724 -%! 0.6 + I * 0.8 , 0.7586657365 + 0.7277663879 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	725 -%! 0.6 + I * 1. , 0.8803349115 + 0.9610513652 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	726 -%! 0.6 + I * 1.2 , 1.042696526 + 1.230800819 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	727 -%! 0.6 + I * 1.4 , 1.256964505 + 1.546195843 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	728 -%! 0.6 + I * 1.6 , 1.540333527 + 1.916612621 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	729 -%! 0.6 + I * 1.8 , 1.919816065 + 2.349972151 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	730 -%! 0.6 + I * 2. , 2.438761841 + 2.848129496 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	731 -%! 0.8 + I * 0. , 0.7158157937 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	732 -%! 0.8 + I * 0.2 , 0.7301746722 + 0.1394690862 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	733 -%! 0.8 + I * 0.4 , 0.7738940898 + 0.2841710966 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	734 -%! 0.8 + I * 0.6 , 0.8489542135 + 0.4394411376 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	735 -%! 0.8 + I * 0.8 , 0.9588386397 + 0.6107824358 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	736 -%! 0.8 + I * 1. , 1.108848724 + 0.8038415767 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	737 -%! 0.8 + I * 1.2 , 1.306629972 + 1.024193359 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	738 -%! 0.8 + I * 1.4 , 1.563010199 + 1.276740951 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	739 -%! 0.8 + I * 1.6 , 1.893274688 + 1.564345558 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	740 -%! 0.8 + I * 1.8 , 2.318944084 + 1.88491973 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	741 -%! 0.8 + I * 2. , 2.869716809 + 2.225506523 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	742 -%! 1. + I * 0. , 0.8392965923 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	743 -%! 1. + I * 0.2 , 0.8559363407 + 0.108250955 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	744 -%! 1. + I * 0.4 , 0.906529758 + 0.2204040232 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	745 -%! 1. + I * 0.6 , 0.9931306727 + 0.3403783409 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	746 -%! 1. + I * 0.8 , 1.119268095 + 0.4720784944 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	747 -%! 1. + I * 1. , 1.29010951 + 0.6192468708 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	748 -%! 1. + I * 1.2 , 1.512691987 + 0.7850890595 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	749 -%! 1. + I * 1.4 , 1.796200374 + 0.9714821804 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	750 -%! 1. + I * 1.6 , 2.152201882 + 1.177446413 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	751 -%! 1. + I * 1.8 , 2.594547417 + 1.396378892 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	752 -%! 1. + I * 2. , 3.138145339 + 1.611394819 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	753 -%! ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	754 -%! CN = [
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	755 -%! -1. + I * 0. , 0.5436738271 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	756 -%! -1. + I * 0.2 , 0.5541219664 + 0.1672121517 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	757 -%! -1. + I * 0.4 , 0.5857703552 + 0.3410940893 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	758 -%! -1. + I * 0.6 , 0.6395034233 + 0.5285979063 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	759 -%! -1. + I * 0.8 , 0.716688504 + 0.7372552987 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	760 -%! -1. + I * 1. , 0.8189576795 + 0.9755037374 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	761 -%! -1. + I * 1.2 , 0.9477661951 + 1.253049471 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	762 -%! -1. + I * 1.4 , 1.103540657 + 1.581252712 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	763 -%! -1. + I * 1.6 , 1.284098214 + 1.973449038 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	764 -%! -1. + I * 1.8 , 1.481835651 + 2.4449211 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	765 -%! -1. + I * 2. , 1.679032464 + 3.011729224 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	766 -%! -0.8 + I * 0. , 0.6982891589 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	767 -%! -0.8 + I * 0.2 , 0.71187169 + 0.1430549855 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	768 -%! -0.8 + I * 0.4 , 0.7530744458 + 0.2920273465 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	769 -%! -0.8 + I * 0.6 , 0.8232501212 + 0.4531616768 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	770 -%! -0.8 + I * 0.8 , 0.9245978896 + 0.6334016187 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	771 -%! -0.8 + I * 1. , 1.060030206 + 0.8408616109 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	772 -%! -0.8 + I * 1.2 , 1.232861756 + 1.085475913 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	773 -%! -0.8 + I * 1.4 , 1.446126965 + 1.379933558 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	774 -%! -0.8 + I * 1.6 , 1.701139468 + 1.741030588 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	775 -%! -0.8 + I * 1.8 , 1.994526268 + 2.191509596 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	776 -%! -0.8 + I * 2. , 2.312257188 + 2.762051518 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	777 -%! -0.6 + I * 0. , 0.8258917445 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	778 -%! -0.6 + I * 0.2 , 0.842151698 + 0.1130337928 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	779 -%! -0.6 + I * 0.4 , 0.8915487431 + 0.2309124769 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	780 -%! -0.6 + I * 0.6 , 0.975948103 + 0.3588102098 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	781 -%! -0.6 + I * 0.8 , 1.098499209 + 0.5026234141 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	782 -%! -0.6 + I * 1. , 1.263676101 + 0.6695125973 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	783 -%! -0.6 + I * 1.2 , 1.477275851 + 0.8687285705 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	784 -%! -0.6 + I * 1.4 , 1.746262523 + 1.112955966 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	785 -%! -0.6 + I * 1.6 , 2.078179075 + 1.420581466 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	786 -%! -0.6 + I * 1.8 , 2.479425208 + 1.819580713 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	787 -%! -0.6 + I * 2. , 2.950586798 + 2.354077344 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	788 -%! -0.4 + I * 0. , 0.9211793498 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	789 -%! -0.4 + I * 0.2 , 0.9395019377 + 0.07822091534 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	790 -%! -0.4 + I * 0.4 , 0.9952345231 + 0.1598950363 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	791 -%! -0.4 + I * 0.6 , 1.090715991 + 0.2487465067 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	792 -%! -0.4 + I * 0.8 , 1.229998843 + 0.34910407 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	793 -%! -0.4 + I * 1. , 1.419103868 + 0.4663848201 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	794 -%! -0.4 + I * 1.2 , 1.666426377 + 0.607877235 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	795 -%! -0.4 + I * 1.4 , 1.983347336 + 0.7841054404 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	796 -%! -0.4 + I * 1.6 , 2.385101684 + 1.01134031 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	797 -%! -0.4 + I * 1.8 , 2.89185416 + 1.316448705 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	798 -%! -0.4 + I * 2. , 3.529393374 + 1.74670531 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	799 -%! -0.2 + I * 0. , 0.9800743122 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	800 -%! -0.2 + I * 0.2 , 0.9997019476 + 0.03999835809 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	801 -%! -0.2 + I * 0.4 , 1.059453907 + 0.08179712295 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	802 -%! -0.2 + I * 0.6 , 1.16200643 + 0.1273503824 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	803 -%! -0.2 + I * 0.8 , 1.312066413 + 0.1789585449 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	804 -%! -0.2 + I * 1. , 1.516804331 + 0.2395555269 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	805 -%! -0.2 + I * 1.2 , 1.786613221 + 0.313189147 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	806 -%! -0.2 + I * 1.4 , 2.136422971 + 0.405890925 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	807 -%! -0.2 + I * 1.6 , 2.588021972 + 0.527357091 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	808 -%! -0.2 + I * 1.8 , 3.174302819 + 0.6944201617 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	809 -%! -0.2 + I * 2. , 3.947361147 + 0.9387994989 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	810 -%! 0. + I * 0. , 1. + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	811 -%! 0. + I * 0.2 , 1.020074723 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	812 -%! 0. + I * 0.4 , 1.08120563 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	813 -%! 0. + I * 0.6 , 1.18619146 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	814 -%! 0. + I * 0.8 , 1.339978715 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	815 -%! 0. + I * 1. , 1.550164037 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	816 -%! 0. + I * 1.2 , 1.827893279 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	817 -%! 0. + I * 1.4 , 2.189462954 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	818 -%! 0. + I * 1.6 , 2.659259752 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	819 -%! 0. + I * 1.8 , 3.275434266 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	820 -%! 0. + I * 2. , 4.101632484 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	821 -%! 0.2 + I * 0. , 0.9800743122 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	822 -%! 0.2 + I * 0.2 , 0.9997019476 - 0.03999835809 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	823 -%! 0.2 + I * 0.4 , 1.059453907 - 0.08179712295 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	824 -%! 0.2 + I * 0.6 , 1.16200643 - 0.1273503824 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	825 -%! 0.2 + I * 0.8 , 1.312066413 - 0.1789585449 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	826 -%! 0.2 + I * 1. , 1.516804331 - 0.2395555269 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	827 -%! 0.2 + I * 1.2 , 1.786613221 - 0.313189147 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	828 -%! 0.2 + I * 1.4 , 2.136422971 - 0.405890925 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	829 -%! 0.2 + I * 1.6 , 2.588021972 - 0.527357091 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	830 -%! 0.2 + I * 1.8 , 3.174302819 - 0.6944201617 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	831 -%! 0.2 + I * 2. , 3.947361147 - 0.9387994989 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	832 -%! 0.4 + I * 0. , 0.9211793498 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	833 -%! 0.4 + I * 0.2 , 0.9395019377 - 0.07822091534 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	834 -%! 0.4 + I * 0.4 , 0.9952345231 - 0.1598950363 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	835 -%! 0.4 + I * 0.6 , 1.090715991 - 0.2487465067 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	836 -%! 0.4 + I * 0.8 , 1.229998843 - 0.34910407 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	837 -%! 0.4 + I * 1. , 1.419103868 - 0.4663848201 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	838 -%! 0.4 + I * 1.2 , 1.666426377 - 0.607877235 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	839 -%! 0.4 + I * 1.4 , 1.983347336 - 0.7841054404 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	840 -%! 0.4 + I * 1.6 , 2.385101684 - 1.01134031 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	841 -%! 0.4 + I * 1.8 , 2.89185416 - 1.316448705 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	842 -%! 0.4 + I * 2. , 3.529393374 - 1.74670531 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	843 -%! 0.6 + I * 0. , 0.8258917445 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	844 -%! 0.6 + I * 0.2 , 0.842151698 - 0.1130337928 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	845 -%! 0.6 + I * 0.4 , 0.8915487431 - 0.2309124769 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	846 -%! 0.6 + I * 0.6 , 0.975948103 - 0.3588102098 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	847 -%! 0.6 + I * 0.8 , 1.098499209 - 0.5026234141 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	848 -%! 0.6 + I * 1. , 1.263676101 - 0.6695125973 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	849 -%! 0.6 + I * 1.2 , 1.477275851 - 0.8687285705 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	850 -%! 0.6 + I * 1.4 , 1.746262523 - 1.112955966 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	851 -%! 0.6 + I * 1.6 , 2.078179075 - 1.420581466 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	852 -%! 0.6 + I * 1.8 , 2.479425208 - 1.819580713 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	853 -%! 0.6 + I * 2. , 2.950586798 - 2.354077344 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	854 -%! 0.8 + I * 0. , 0.6982891589 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	855 -%! 0.8 + I * 0.2 , 0.71187169 - 0.1430549855 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	856 -%! 0.8 + I * 0.4 , 0.7530744458 - 0.2920273465 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	857 -%! 0.8 + I * 0.6 , 0.8232501212 - 0.4531616768 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	858 -%! 0.8 + I * 0.8 , 0.9245978896 - 0.6334016187 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	859 -%! 0.8 + I * 1. , 1.060030206 - 0.8408616109 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	860 -%! 0.8 + I * 1.2 , 1.232861756 - 1.085475913 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	861 -%! 0.8 + I * 1.4 , 1.446126965 - 1.379933558 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	862 -%! 0.8 + I * 1.6 , 1.701139468 - 1.741030588 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	863 -%! 0.8 + I * 1.8 , 1.994526268 - 2.191509596 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	864 -%! 0.8 + I * 2. , 2.312257188 - 2.762051518 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	865 -%! 1. + I * 0. , 0.5436738271 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	866 -%! 1. + I * 0.2 , 0.5541219664 - 0.1672121517 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	867 -%! 1. + I * 0.4 , 0.5857703552 - 0.3410940893 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	868 -%! 1. + I * 0.6 , 0.6395034233 - 0.5285979063 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	869 -%! 1. + I * 0.8 , 0.716688504 - 0.7372552987 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	870 -%! 1. + I * 1. , 0.8189576795 - 0.9755037374 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	871 -%! 1. + I * 1.2 , 0.9477661951 - 1.253049471 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	872 -%! 1. + I * 1.4 , 1.103540657 - 1.581252712 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	873 -%! 1. + I * 1.6 , 1.284098214 - 1.973449038 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	874 -%! 1. + I * 1.8 , 1.481835651 - 2.4449211 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	875 -%! 1. + I * 2. , 1.679032464 - 3.011729224 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	876 -%! ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	877 -%! DN = [
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	878 -%! -1. + I * 0. , 0.9895776106 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	879 -%! -1. + I * 0.2 , 0.9893361555 + 0.002756935338 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	880 -%! -1. + I * 0.4 , 0.9885716856 + 0.005949639805 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	881 -%! -1. + I * 0.6 , 0.9871564855 + 0.01008044183 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	882 -%! -1. + I * 0.8 , 0.9848512162 + 0.01579337596 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	883 -%! -1. + I * 1. , 0.9812582484 + 0.02396648455 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	884 -%! -1. + I * 1.2 , 0.9757399152 + 0.0358288294 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	885 -%! -1. + I * 1.4 , 0.9672786056 + 0.0531049859 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	886 -%! -1. + I * 1.6 , 0.954237868 + 0.0781744383 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	887 -%! -1. + I * 1.8 , 0.933957524 + 0.1141918269 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	888 -%! -1. + I * 2. , 0.9020917489 + 0.1650142936 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	889 -%! -0.8 + I * 0. , 0.992429635 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	890 -%! -0.8 + I * 0.2 , 0.9924147861 + 0.003020708044 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	891 -%! -0.8 + I * 0.4 , 0.99236555 + 0.00652359532 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	892 -%! -0.8 + I * 0.6 , 0.9922655715 + 0.0110676219 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	893 -%! -0.8 + I * 0.8 , 0.9920785856 + 0.01737733806 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	894 -%! -0.8 + I * 1. , 0.9917291795 + 0.02645738598 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	895 -%! -0.8 + I * 1.2 , 0.9910606387 + 0.03974949378 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	896 -%! -0.8 + I * 1.4 , 0.9897435004 + 0.05935252515 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	897 -%! -0.8 + I * 1.6 , 0.987077644 + 0.08832675281 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	898 -%! -0.8 + I * 1.8 , 0.9815667458 + 0.1310872821 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	899 -%! -0.8 + I * 2. , 0.970020127 + 0.1938136793 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	900 -%! -0.6 + I * 0. , 0.9953099088 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	901 -%! -0.6 + I * 0.2 , 0.995526009 + 0.002814772354 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	902 -%! -0.6 + I * 0.4 , 0.9962071136 + 0.006083312292 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	903 -%! -0.6 + I * 0.6 , 0.9974557125 + 0.01033463525 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	904 -%! -0.6 + I * 0.8 , 0.9994560563 + 0.01626207722 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	905 -%! -0.6 + I * 1. , 1.00249312 + 0.02484336286 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	906 -%! -0.6 + I * 1.2 , 1.006973922 + 0.0375167093 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	907 -%! -0.6 + I * 1.4 , 1.013436509 + 0.05645315628 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	908 -%! -0.6 + I * 1.6 , 1.022504295 + 0.08499262247 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	909 -%! -0.6 + I * 1.8 , 1.034670023 + 0.1283564595 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	910 -%! -0.6 + I * 2. , 1.049599899 + 0.194806122 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	911 -%! -0.4 + I * 0. , 0.9977686897 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	912 -%! -0.4 + I * 0.2 , 0.9981836165 + 0.002167241934 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	913 -%! -0.4 + I * 0.4 , 0.9994946045 + 0.004686808612 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	914 -%! -0.4 + I * 0.6 , 1.001910789 + 0.00797144174 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	915 -%! -0.4 + I * 0.8 , 1.005817375 + 0.01256717724 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	916 -%! -0.4 + I * 1. , 1.011836374 + 0.01925509038 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	917 -%! -0.4 + I * 1.2 , 1.020923572 + 0.02920828367 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	918 -%! -0.4 + I * 1.4 , 1.034513743 + 0.04425213602 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	919 -%! -0.4 + I * 1.6 , 1.054725746 + 0.06732276244 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	920 -%! -0.4 + I * 1.8 , 1.08462027 + 0.1033236812 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	921 -%! -0.4 + I * 2. , 1.128407402 + 0.1608240664 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	922 -%! -0.2 + I * 0. , 0.9994191176 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	923 -%! -0.2 + I * 0.2 , 0.9999683719 + 0.001177128019 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	924 -%! -0.2 + I * 0.4 , 1.001705496 + 0.00254669712 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	925 -%! -0.2 + I * 0.6 , 1.004913944 + 0.004334880912 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	926 -%! -0.2 + I * 0.8 , 1.010120575 + 0.006842775622 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	927 -%! -0.2 + I * 1. , 1.018189543 + 0.01050520136 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	928 -%! -0.2 + I * 1.2 , 1.030482479 + 0.01598431001 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	929 -%! -0.2 + I * 1.4 , 1.049126108 + 0.02433134655 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	930 -%! -0.2 + I * 1.6 , 1.077466003 + 0.0372877718 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	931 -%! -0.2 + I * 1.8 , 1.120863308 + 0.05789156398 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	932 -%! -0.2 + I * 2. , 1.188162088 + 0.09181238708 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	933 -%! 0. + I * 0. , 1. + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	934 -%! 0. + I * 0.2 , 1.000596698 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	935 -%! 0. + I * 0.4 , 1.002484444 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	936 -%! 0. + I * 0.6 , 1.005973379 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	937 -%! 0. + I * 0.8 , 1.011641536 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	938 -%! 0. + I * 1. , 1.020441432 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	939 -%! 0. + I * 1.2 , 1.033885057 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	940 -%! 0. + I * 1.4 , 1.054361188 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	941 -%! 0. + I * 1.6 , 1.085694733 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	942 -%! 0. + I * 1.8 , 1.134186672 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	943 -%! 0. + I * 2. , 1.210701071 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	944 -%! 0.2 + I * 0. , 0.9994191176 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	945 -%! 0.2 + I * 0.2 , 0.9999683719 - 0.001177128019 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	946 -%! 0.2 + I * 0.4 , 1.001705496 - 0.00254669712 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	947 -%! 0.2 + I * 0.6 , 1.004913944 - 0.004334880912 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	948 -%! 0.2 + I * 0.8 , 1.010120575 - 0.006842775622 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	949 -%! 0.2 + I * 1. , 1.018189543 - 0.01050520136 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	950 -%! 0.2 + I * 1.2 , 1.030482479 - 0.01598431001 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	951 -%! 0.2 + I * 1.4 , 1.049126108 - 0.02433134655 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	952 -%! 0.2 + I * 1.6 , 1.077466003 - 0.0372877718 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	953 -%! 0.2 + I * 1.8 , 1.120863308 - 0.05789156398 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	954 -%! 0.2 + I * 2. , 1.188162088 - 0.09181238708 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	955 -%! 0.4 + I * 0. , 0.9977686897 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	956 -%! 0.4 + I * 0.2 , 0.9981836165 - 0.002167241934 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	957 -%! 0.4 + I * 0.4 , 0.9994946045 - 0.004686808612 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	958 -%! 0.4 + I * 0.6 , 1.001910789 - 0.00797144174 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	959 -%! 0.4 + I * 0.8 , 1.005817375 - 0.01256717724 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	960 -%! 0.4 + I * 1. , 1.011836374 - 0.01925509038 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	961 -%! 0.4 + I * 1.2 , 1.020923572 - 0.02920828367 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	962 -%! 0.4 + I * 1.4 , 1.034513743 - 0.04425213602 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	963 -%! 0.4 + I * 1.6 , 1.054725746 - 0.06732276244 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	964 -%! 0.4 + I * 1.8 , 1.08462027 - 0.1033236812 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	965 -%! 0.4 + I * 2. , 1.128407402 - 0.1608240664 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	966 -%! 0.6 + I * 0. , 0.9953099088 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	967 -%! 0.6 + I * 0.2 , 0.995526009 - 0.002814772354 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	968 -%! 0.6 + I * 0.4 , 0.9962071136 - 0.006083312292 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	969 -%! 0.6 + I * 0.6 , 0.9974557125 - 0.01033463525 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	970 -%! 0.6 + I * 0.8 , 0.9994560563 - 0.01626207722 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	971 -%! 0.6 + I * 1. , 1.00249312 - 0.02484336286 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	972 -%! 0.6 + I * 1.2 , 1.006973922 - 0.0375167093 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	973 -%! 0.6 + I * 1.4 , 1.013436509 - 0.05645315628 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	974 -%! 0.6 + I * 1.6 , 1.022504295 - 0.08499262247 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	975 -%! 0.6 + I * 1.8 , 1.034670023 - 0.1283564595 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	976 -%! 0.6 + I * 2. , 1.049599899 - 0.194806122 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	977 -%! 0.8 + I * 0. , 0.992429635 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	978 -%! 0.8 + I * 0.2 , 0.9924147861 - 0.003020708044 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	979 -%! 0.8 + I * 0.4 , 0.99236555 - 0.00652359532 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	980 -%! 0.8 + I * 0.6 , 0.9922655715 - 0.0110676219 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	981 -%! 0.8 + I * 0.8 , 0.9920785856 - 0.01737733806 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	982 -%! 0.8 + I * 1. , 0.9917291795 - 0.02645738598 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	983 -%! 0.8 + I * 1.2 , 0.9910606387 - 0.03974949378 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	984 -%! 0.8 + I * 1.4 , 0.9897435004 - 0.05935252515 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	985 -%! 0.8 + I * 1.6 , 0.987077644 - 0.08832675281 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	986 -%! 0.8 + I * 1.8 , 0.9815667458 - 0.1310872821 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	987 -%! 0.8 + I * 2. , 0.970020127 - 0.1938136793 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	988 -%! 1. + I * 0. , 0.9895776106 + 0. * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	989 -%! 1. + I * 0.2 , 0.9893361555 - 0.002756935338 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	990 -%! 1. + I * 0.4 , 0.9885716856 - 0.005949639805 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	991 -%! 1. + I * 0.6 , 0.9871564855 - 0.01008044183 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	992 -%! 1. + I * 0.8 , 0.9848512162 - 0.01579337596 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	993 -%! 1. + I * 1. , 0.9812582484 - 0.02396648455 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	994 -%! 1. + I * 1.2 , 0.9757399152 - 0.0358288294 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	995 -%! 1. + I * 1.4 , 0.9672786056 - 0.0531049859 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	996 -%! 1. + I * 1.6 , 0.954237868 - 0.0781744383 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	997 -%! 1. + I * 1.8 , 0.933957524 - 0.1141918269 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	998 -%! 1. + I * 2. , 0.9020917489 - 0.1650142936 * I
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	999 -%! ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1000 -%! tol = 1e-9;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1001 -%! for x = 0:10
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1002 -%! for y = 0:10
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1003 -%! ur = -1 + x * 0.2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1004 -%! ui = y * 0.2;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1005 -%! ii = 1 + y + x*11;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1006 -%! [sn, cn, dn] = ellipj (ur + I * ui, m);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1007 -%! assert (SN (ii, 2), sn, tol);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1008 -%! assert (CN (ii, 2), cn, tol);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1009 -%! assert (DN (ii, 2), dn, tol);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1010 -%! endfor
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1011 -%! endfor
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1012 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1013 -## tests taken from test_ellipj.m
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1014 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1015 -%! u1 = pi/3; m1 = 0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1016 -%! res1 = [sin(pi/3), cos(pi/3), 1];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1017 -%! [sn,cn,dn]=ellipj(u1,m1);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1018 -%! assert([sn,cn,dn], res1, 10*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1019 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1020 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1021 -%! u2 = log(2); m2 = 1;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1022 -%! res2 = [ 3/5, 4/5, 4/5 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1023 -%! [sn,cn,dn]=ellipj(u2,m2);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1024 -%! assert([sn,cn,dn], res2, 10*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1025 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1026 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1027 -%! u3 = log(2)*1i; m3 = 0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1028 -%! res3 = [3i/4,5/4,1];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1029 -%! [sn,cn,dn]=ellipj(u3,m3);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1030 -%! assert([sn,cn,dn], res3, 10*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1031 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1032 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1033 -%! u4 = -1; m4 = tan(pi/8)^4;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1034 -%! res4 = [-0.8392965923,0.5436738271,0.9895776106];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1035 -%! [sn,cn,dn]=ellipj(u4, m4);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1036 -%! assert([sn,cn,dn], res4, 1e-10);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1037 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1038 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1039 -%! u5 = -0.2 + 0.4i; m5 = tan(pi/8)^4;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1040 -%! res5 = [ -0.2152524522 + 0.402598347i, ...
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1041 -%! 1.059453907 + 0.08179712295i, ...
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1042 -%! 1.001705496 + 0.00254669712i ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1043 -%! [sn,cn,dn]=ellipj(u5,m5);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1044 -%! assert([sn,cn,dn], res5, 1e-9);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1045 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1046 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1047 -%! u6 = 0.2 + 0.6i; m6 = tan(pi/8)^4;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1048 -%! res6 = [ 0.2369100139 + 0.624633635i, ...
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1049 -%! 1.16200643 - 0.1273503824i, ...
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1050 -%! 1.004913944 - 0.004334880912i ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1051 -%! [sn,cn,dn]=ellipj(u6,m6);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1052 -%! assert([sn,cn,dn], res6, 1e-8);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1053 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1054 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1055 -%! u7 = 0.8 + 0.8i; m7 = tan(pi/8)^4;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1056 -%! res7 = [0.9588386397 + 0.6107824358i, ...
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1057 -%! 0.9245978896 - 0.6334016187i, ...
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1058 -%! 0.9920785856 - 0.01737733806i ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1059 -%! [sn,cn,dn]=ellipj(u7,m7);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1060 -%! assert([sn,cn,dn], res7, 1e-10);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1061 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1062 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1063 -%! u=[0,pi/6,pi/4,pi/2]; m=0;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1064 -%! res = [0,1/2,1/sqrt(2),1;1,cos(pi/6),1/sqrt(2),0;1,1,1,1];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1065 -%! [sn,cn,dn]=ellipj(u,m);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1066 -%! assert([sn;cn;dn],res, 100*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1067 -%! [sn,cn,dn]=ellipj(u',0);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1068 -%! assert([sn,cn,dn],res', 100*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1069 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1070 -## XXX FIXME XXX
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1071 -## need to check [real,complex]x[scalar,rowvec,colvec,matrix]x[u,m]
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1072 -
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1073 -%!test
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1074 -%! ## Test Jacobi elliptic functions
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1075 -%! ## against "exact" solution from Mathematica 3.0
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1076 -%! ## David Billinghurst <David.Billinghurst@riotinto.com>
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1077 -%! ## 1 February 2001
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1078 -%! u = [ 0.25; 0.25; 0.20; 0.20; 0.672; 0.5];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1079 -%! m = [ 0.0; 1.0; 0.19; 0.81; 0.36; 0.9999999999];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1080 -%! S = [ sin(0.25); tanh(0.25);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1081 -%! 0.19842311013970879516;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1082 -%! 0.19762082367187648571;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1083 -%! 0.6095196917919021945;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1084 -%! 0.4621171572617320908 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1085 -%! C = [ cos(0.25); sech(0.25);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1086 -%! 0.9801164570409401062;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1087 -%! 0.9802785369736752032;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1088 -%! 0.7927709286533560550;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1089 -%! 0.8868188839691764094 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1090 -%! D = [ 1.0; sech(0.25);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1091 -%! 0.9962526643271134302;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1092 -%! 0.9840560289645665155;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1093 -%! 0.9307281387786906491;
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1094 -%! 0.8868188839812167635 ];
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1095 -%! [sn,cn,dn] = ellipj(u,m);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1096 -%! assert(sn,S,8*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1097 -%! assert(cn,C,8*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1098 -%! assert(dn,D,8*eps);
79edc3a96749 of-ode: patch for depreciated functions (Bug #55325) John Donoghue parents: diff changeset	1099 -*/

Mercurial > mxe-octave

annotate src/of-specfun-1-deprecated.patch @ 7207:9ed6500e56d3 default tip @