# HG changeset patch
# User Markus Mützel <markus.muetzel@gmx.de>
# Date 1548005011 -3600
#      Sun Jan 20 18:23:31 2019 +0100
# Node ID ebcbd7681184a75da18685bad2bd0e034c6ceac3
# Parent  300ea1ffe19e47745013f18c4e0adc2e0e1a7f76
* src/of-specfun-1-deprecated.patch: Cherry-pick upstream fix (bug #55325).

diff -r 300ea1ffe19e -r ebcbd7681184 src/of-specfun-1-cross-fixes.patch
--- a/src/of-specfun-1-cross-fixes.patch	Sun Jan 20 17:59:50 2019 +0100
+++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
@@ -1,13 +0,0 @@
-diff -ur specfun.orig/src/Makefile specfun/src/Makefile
---- specfun.orig/src/Makefile	2015-12-26 20:11:36.382164834 -0500
-+++ specfun/src/Makefile	2015-12-26 20:12:17.449868085 -0500
-@@ -1,6 +1,8 @@
-+MKOCTFILE ?= mkoctfile
-+
- all: ellipj.oct
- 
- %.oct: %.cc
--	mkoctfile -s $<
-+	$(MKOCTFILE) -s $<
- 
- clean: ; -rm *.o core octave-core *.oct *~
diff -r 300ea1ffe19e -r ebcbd7681184 src/of-specfun-1-deprecated.patch
--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/of-specfun-1-deprecated.patch	Sun Jan 20 18:23:31 2019 +0100
@@ -0,0 +1,1099 @@
+# HG changeset patch
+# User carandraug
+# Date 1367241519 0
+#      Mon Apr 29 13:18:39 2013 +0000
+# Node ID fba373975f9fbf1ab368727b3243681d8e8010da
+# Parent  218107f7d15193bc2d88071cf747388091783a83
+specfun: removing ellipj, ellipke, and expint (merged into octave core)
+(grafted from 153e6946b5cb58c22af6a28cbb7c37d9fdf4a892)
+
+diff -r 218107f7d151 -r fba373975f9f inst/ellipke.m
+--- a/inst/ellipke.m	Thu Dec 15 02:18:02 2011 +0000
++++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
+@@ -1,125 +0,0 @@
+-## Copyright (C) 2001 David Billinghurst
+-##
+-## This program is free software; you can redistribute it and/or modify
+-## it under the terms of the GNU General Public License as published by
+-## the Free Software Foundation; either version 3 of the License, or
+-## (at your option) any later version.
+-##
+-## This program is distributed in the hope that it will be useful,
+-## but WITHOUT ANY WARRANTY; without even the implied warranty of
+-## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+-## GNU General Public License for more details.
+-##
+-## You should have received a copy of the GNU General Public License
+-## along with this program; If not, see <http://www.gnu.org/licenses/>.
+-
+-## -*- texinfo -*-
+-## @deftypefn {Function File} {[@var{k}, @var{e}] =} ellipke (@var{m}[,@var{tol}])
+-## Compute complete elliptic integral of first K(@var{m}) and second E(@var{m}).
+-##
+-## @var{m} is either real array or scalar with 0 <= m <= 1
+-## 
+-## @var{tol} will be ignored (@sc{Matlab} uses this to allow faster, less
+-## accurate approximation)
+-##
+-## Ref: Abramowitz, Milton and Stegun, Irene A. Handbook of Mathematical
+-## Functions, Dover, 1965, Chapter 17.
+-## @seealso{ellipj}
+-## @end deftypefn
+-
+-## Author: David Billinghurst <David.Billinghurst@riotinto.com>
+-## Created: 31 January 2001
+-## 2001-02-01 Paul Kienzle
+-##   * vectorized
+-##   * included function name in error messages
+-## 2003-1-18 Jaakko Ruohio
+-##   * extended for m < 0
+-
+-function [k,e] = ellipke( m )
+-
+-  if (nargin < 1 || nargin > 2)
+-    print_usage;
+-  endif
+-
+-  k = e = zeros(size(m));
+-  m = m(:);
+-  if any(~isreal(m))
+-    error("ellipke must have real m"); 
+-  endif
+-  if any(m>1)
+-    error("ellipke must have m <= 1");
+-  endif
+-
+-  Nmax = 16;
+-  idx = find(m == 1);
+-  if (!isempty(idx))
+-    k(idx) = Inf;
+-    e(idx) = 1.0;
+-  endif
+-      
+-  idx = find(m == -Inf);
+-  if (!isempty(idx))
+-    k(idx) = 0.0;
+-    e(idx) = Inf;
+-  endif
+-
+-  ## Arithmetic-Geometric Mean (AGM) algorithm
+-  ## ( Abramowitz and Stegun, Section 17.6 )
+-  idx = find(m != 1 & m != -Inf);
+-  if (!isempty(idx))
+-    idx_neg = find(m < 0 & m != -Inf);
+-    mult_k = 1./sqrt(1-m(idx_neg));
+-    mult_e = sqrt(1-m(idx_neg));
+-    m(idx_neg) = -m(idx_neg)./(1-m(idx_neg));
+-    a = ones(length(idx),1);
+-    b = sqrt(1.0-m(idx));
+-    c = sqrt(m(idx));
+-    f = 0.5;
+-    sum = f*c.*c;
+-    for n = 2:Nmax
+-      t = (a+b)/2;
+-      c = (a-b)/2;
+-      b = sqrt(a.*b);
+-      a = t;
+-      f = f * 2;
+-      sum = sum + f*c.*c;
+-      if all(c./a < eps), break; endif
+-    endfor
+-    if n >= Nmax, error("ellipke: not enough workspace"); endif
+-    k(idx) = 0.5*pi./a;
+-    e(idx) = 0.5*pi.*(1.0-sum)./a;
+-    k(idx_neg) = mult_k.*k(idx_neg);
+-    e(idx_neg) = mult_e.*e(idx_neg);
+-  endif
+-
+-endfunction
+-
+-%!test
+-%! ## Test complete elliptic functions of first and second kind
+-%! ## against "exact" solution from Mathematica 3.0
+-%! ##
+-%! ## David Billinghurst <David.Billinghurst@riotinto.com>
+-%! ## 1 February 2001
+-%! m = [0.0; 0.01; 0.1; 0.5; 0.9; 0.99; 1.0 ];
+-%! [k,e] = ellipke(m);
+-%!
+-%! # K(1.0) is really infinity - see below
+-%! K = [ 
+-%!  1.5707963267948966192;
+-%!  1.5747455615173559527;
+-%!  1.6124413487202193982;
+-%!  1.8540746773013719184;
+-%!  2.5780921133481731882;
+-%!  3.6956373629898746778;
+-%!  0.0 ];
+-%! E = [
+-%!  1.5707963267948966192;
+-%!  1.5668619420216682912;
+-%!  1.5307576368977632025;
+-%!  1.3506438810476755025;
+-%!  1.1047747327040733261;
+-%!  1.0159935450252239356;
+-%!  1.0 ];
+-%! if k(7)==Inf, k(7)=0.0; endif;
+-%! assert(K,k,8*eps);
+-%! assert(E,e,8*eps);
+diff -r 218107f7d151 -r fba373975f9f inst/expint.m
+--- a/inst/expint.m	Thu Dec 15 02:18:02 2011 +0000
++++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
+@@ -1,34 +0,0 @@
+-## Copyright (C) 2006   Sylvain Pelissier   <sylvain.pelissier@gmail.com>
+-##
+-## This program is free software; you can redistribute it and/or modify
+-## it under the terms of the GNU General Public License as published by
+-## the Free Software Foundation; either version 3 of the License, or
+-## (at your option) any later version.
+-##
+-## This program is distributed in the hope that it will be useful,
+-## but WITHOUT ANY WARRANTY; without even the implied warranty of
+-## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+-## GNU General Public License for more details.
+-##
+-## You should have received a copy of the GNU General Public License
+-## along with this program; If not, see <http://www.gnu.org/licenses/>.
+-
+-## -*- texinfo -*-
+-## @deftypefn {Function File} {@var{y} =} expint (@var{x})
+-## Compute the exponential integral,
+-## @verbatim
+-##                    infinity
+-##                   /
+-##       expint(x) = | exp(t)/t dt
+-##                   /
+-##                  x
+-## @end verbatim
+-## @seealso{expint_E1, expint_Ei}
+-## @end deftypefn
+-
+-function y = expint(x)
+-  if (nargin != 1)
+-    print_usage;
+-  endif
+-  y = expint_E1(x);
+-endfunction
+diff -r 218107f7d151 -r fba373975f9f src/Makefile
+--- a/src/Makefile	Thu Dec 15 02:18:02 2011 +0000
++++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
+@@ -1,6 +0,0 @@
+-all: ellipj.oct
+-
+-%.oct: %.cc
+-	mkoctfile -s $<
+-
+-clean: ; -rm *.o core octave-core *.oct *~
+diff -r 218107f7d151 -r fba373975f9f src/ellipj.cc
+--- a/src/ellipj.cc	Thu Dec 15 02:18:02 2011 +0000
++++ /dev/null	Thu Jan 01 00:00:00 1970 +0000
+@@ -1,909 +0,0 @@
+-/*
+- Copyright (C) 2001 Leopoldo Cerbaro <redbliss@libero.it>
+-
+- This program is free software; you can redistribute it and/or modify
+- it under the terms of the GNU General Public License as published by
+- the Free Software Foundation; either version 3 of the License, or
+- (at your option) any later version.
+-
+- This program is distributed in the hope that it will be useful,
+- but WITHOUT ANY WARRANTY; without even the implied warranty of
+- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
+- GNU General Public License for more details.
+-
+- You should have received a copy of the GNU General Public License
+- along with this program; If not, see <http://www.gnu.org/licenses/>.
+-
+- Compute the Jacobi elliptic functions sn(u|m), cn(u|m) and dn(u|m) for 
+- argument u (real or complex) and parameter m. 
+-
+- usage: [sn,cn,dn] = ellipj(u,m[,tol])
+- 
+- u and can be complex.
+- m is restricted to 0 <= m <= 1.
+- They can be scalars, matrix and scalar, scalar and matrix,
+- column and row, conformant matrices.
+-
+- modified so u can be complex.   Leopoldo Cerbaro redbliss@libero.it
+- 
+- Ref: Abramowitz, Milton and Stegun, Irene A
+-      Handbook of Mathematical Functions, Dover, 1965
+-      Chapter 16 (Sections 16.4, 16.13 and 16.15)
+-
+- Based upon ellipj.m  made by David Billinghurst <David.Billinghurst@riotinto.com>
+- and besselj.cc
+-
+- Author: Leopoldo Cerbaro <redbliss@libero.it>
+- Created: 15 December 2001
+-*/
+-
+-#include "oct.h"
+-#include "lo-ieee.h"  /* for octave_NaN */
+-
+-static void
+-gripe_ellipj_arg ( const char *arg)
+-{
+-  error ("ellipj: expecting scalar or matrix as %s argument", arg);
+-}
+-
+-const double  eps = 2.220446049e-16;
+-const int  Nmax = 16;
+-
+-static void
+-sncndn ( double u, double m, double& sn, double& cn, double& dn, double& err) {
+-/* real */
+-double sqrt_eps, m1, t=0., si_u, co_u, se_u, ta_u, b, c[Nmax], a[Nmax], phi;
+-int n, Nn, ii;
+-
+-  if (m < 0. || m > 1.) {
+-     warning ("ellipj: expecting 0. <= m <= 1."); /* -lc- */
+-     sn = cn = dn = lo_ieee_nan_value ();
+-     return;
+-  }
+-  sqrt_eps = sqrt(eps);
+-  if (m < sqrt_eps) {
+-    /*  # For small m, ( Abramowitz and Stegun, Section 16.13 ) */
+-    /*{{{*/
+-        si_u = sin(u);
+-        co_u = cos(u);
+-        t = 0.25*m*(u-si_u*co_u);
+-        sn = si_u - t * co_u;
+-        cn = co_u + t * si_u;
+-        dn = 1.0 - 0.5*m*si_u*si_u;
+-/*}}}*/
+-  } else if ( (1.0 - m) < sqrt_eps ) {
+-    /*  For m1 = (1-m) small ( Abramowitz and Stegun, Section 16.15 ) */
+-    /*{{{*/
+-        m1 = 1.0-m;
+-        si_u = sinh(u);
+-        co_u = cosh(u);
+-        ta_u = tanh(u);
+-        se_u = 1.0/co_u;
+-        sn = ta_u + 0.25*m1*(si_u*co_u-u)*se_u*se_u;
+-        cn = se_u - 0.25*m1*(si_u*co_u-u)*ta_u*se_u;
+-        dn = se_u + 0.25*m1*(si_u*co_u+u)*ta_u*se_u;
+-/*}}}*/
+-  } else {
+-    /*{{{*/
+-        /*
+-        //  Arithmetic-Geometric Mean (AGM) algorithm
+-        //    ( Abramowitz and Stegun, Section 16.4 )
+-        */
+-       
+-        a[0] = 1.0;
+-        b    = sqrt(1.0-m);
+-        c[0] = sqrt(m);
+-        for (n = 1; n<Nmax; ++n) {
+-          a[n] = (a[n-1]+b)/2;
+-          c[n] = (a[n-1]-b)/2;
+-          b = sqrt(a[n-1]*b);
+-          if ( c[n]/a[n] < eps) break; 
+-        }
+-        if ( n >= Nmax-1) {
+-           // fprintf(stderr, "Not enough workspace\n");
+-           err = 1.;
+-           return;
+-        }
+-        Nn = n;
+-        for ( ii = 1;  n>0; ii = ii*2, --n) ; // pow(2, Nn)
+-        phi = ii*a[Nn]*u;
+-        for ( n = Nn; n > 0; --n) {
+-          t = phi;
+-          phi = (asin((c[n]/a[n])* sin(phi))+phi)/2.;
+-        }
+-        sn = sin(phi);
+-        cn = cos(phi);
+-        dn = cn/cos(t-phi);
+-/*}}}*/
+-  }
+- return;
+-}
+-
+-static void
+-sncndn ( Complex& u, double m, 
+-         Complex& sn, Complex& cn, Complex& dn, double& err) {
+-double m1 = 1.-m, ss1, cc1, dd1;
+-
+-  sncndn( imag(u), m1, ss1, cc1, dd1, err);
+-  if ( real(u) == 0.) { 
+-    /* u is pure imag: Jacoby imag. transf. */
+-    /*{{{*/
+-    sn = Complex (0. , ss1/cc1);
+-    cn = 1/cc1;         //    cn.imag = 0.;
+-    dn = dd1/cc1;       //    dn.imag = 0.;
+-    /*}}}*/
+-  } else {
+-    /* u is generic complex */
+-    /*{{{*/
+-    double ss, cc, dd, ddd;
+-
+-    sncndn( real(u), m, ss, cc, dd, err);
+-      ddd = cc1*cc1 + m*ss*ss*ss1*ss1;
+-      sn = Complex (ss*dd1/ddd, cc*dd*ss1*cc1/ddd); 
+-      cn = Complex (cc*cc1/ddd, -ss*dd*ss1*dd1/ddd);
+-      dn = Complex (dd*cc1*dd1/ddd, -m*ss*cc*ss1/ddd);
+-    /*}}}*/
+-  }
+- return;
+-}
+-
+-DEFUN_DLD (ellipj, args, nargout,
+-  "-*- texinfo -*-\n\
+-@deftypefn {Loadable Function} {[@var{sn}, @var{cn}, @var{dn}] =} \
+-ellipj (@var{u}, @var{m}, @var{err})\n\
+-Compute the Jacobi elliptic functions sn, cn, dn of complex argument and real parameter.\n\
+-\n\
+-If @var{m} is a scalar, the results are the same size as @var{u}.\n\
+-If @var{u} is a scalar, the results are the same size as @var{m}.\n\
+-If @var{u} is a column vector and @var{m} is a row vector, the\n\
+-results are matrices with @code{length (@var{u})} rows and\n\
+-@code{length (@var{m})} columns.  Otherwise, @var{u} and\n\
+-@var{m} must conform and the results will be the same size.\n\
+-\n\
+-The value of @var{u} may be complex.\n\
+-The value of @var{m} must be 0 <= m <= 1. .\n\
+-\n\
+-If requested, @var{err} contains the following status information\n\
+-and is the same size as the result.\n\
+-\n\
+-@enumerate 0\n\
+-@item\n\
+-Normal return.\n\
+-@item\n\
+-Error---no computation, algorithm termination condition not met,\n\
+-return @code{NaN}.\n\
+-@end enumerate\n\
+-@end deftypefn")
+-{
+-  octave_value_list retval;
+-
+-  int nargin = args.length ();
+-
+-  if (nargin == 2 ) {
+-      octave_value u_arg = args(0);
+-      octave_value m_arg = args(1);
+-
+-      if (m_arg.is_scalar_type ()) {  // m is scalar
+-        double  m = args(1).double_value ();
+-
+-        if (! error_state) {
+-
+-          if (u_arg.is_scalar_type ()) {   /*  u scalar */
+-            /*{{{*/
+-            if (u_arg.is_real_type ()) {  // u real
+-              double  u = args(0).double_value ();
+-
+-              if (! error_state) {
+-                double sn, cn, dn;
+-                double err=0;
+-                octave_value result;
+-
+-                sncndn(u, m, sn, cn, dn, err);
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)
+-                  retval(3) =  err;
+-            } else 
+-                gripe_ellipj_arg ( "first");
+-
+-            } else {  // u complex
+-              Complex u = u_arg.complex_value ();
+-
+-              if (! error_state) {
+-                Complex sn, cn, dn;
+-                double err;
+-                octave_value result;
+-
+-                sncndn( u, m, sn, cn, dn, err);
+-
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)  retval(3) = err;
+-              } else
+-                gripe_ellipj_arg ( "second");
+-            }
+-            /*}}}*/
+-          } else {  /* u is matrix ( m is scalar ) */
+-            /*{{{*/
+-            ComplexMatrix u = u_arg.complex_matrix_value ();
+-
+-            if (! error_state) {
+-              octave_value result;
+-              int nr = u.rows ();
+-              int nc = u.cols ();
+-
+-              ComplexMatrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
+-              Matrix err (nr, nc);
+-
+-              for (int j = 0; j < nc; j++)
+-                for (int i = 0; i < nr; i++)
+-                  sncndn (u(i,j), m, sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)  retval(3) = err;
+-            } else
+-                gripe_ellipj_arg ( "first");
+-            /*}}}*/
+-          }
+-        } else
+-            gripe_ellipj_arg ( "second");
+-     } else { // m is matrix
+-       Matrix m = args(1).matrix_value ();
+-
+-       if (! error_state) {
+-         int mr = m.rows ();
+-         int mc = m.cols ();
+-
+-         if (u_arg.is_scalar_type ()) {    /* u is scalar */
+-           /*{{{*/
+-           octave_value result;
+-           int nr = m.rows ();
+-           int nc = m.cols ();
+-           Matrix err (nr, nc);
+-
+-           if (u_arg.is_real_type ()) {
+-             double  u = u_arg.double_value ();
+-             Matrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
+-             if (! error_state) {
+-               for (int j = 0; j < nc; j++)
+-                 for (int i = 0; i < nr; i++)
+-                   sncndn (u, m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-
+-               retval (0) = sn;
+-               retval (1) = cn;
+-               retval (2) = dn;
+-               if (nargout > 3)  retval(3) = err;
+-             } else
+-               gripe_ellipj_arg ( "first");
+-           } else {
+-             Complex u = u_arg.complex_value ();
+-             ComplexMatrix sn (nr, nc), cn (nr, nc), dn (nr, nc);
+-             if (! error_state) {
+-               for (int j = 0; j < nc; j++)
+-                 for (int i = 0; i < nr; i++)
+-                   sncndn (u, m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-               retval (0) = sn;
+-               retval (1) = cn;
+-               retval (2) = dn;
+-               if (nargout > 3)  retval(3) = err;
+-             } else
+-               gripe_ellipj_arg ( "first");
+-           }
+-           /*}}}*/
+-         } else {    // u is matrix  (m is matrix)
+-           /*{{{*/
+-           if (u_arg.is_real_type ()) {  // u real matrix
+-
+-              Matrix u = u_arg.matrix_value ();
+-              if (! error_state) {
+-                int ur = u.rows ();
+-                int uc = u.cols ();
+-
+-              if (mr == 1 && uc == 1) {  // u column, m row
+-                RowVector rm = m.row ((octave_idx_type)0);
+-                ColumnVector cu = u.column ((octave_idx_type)0);
+-
+-                Matrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
+-                Matrix err(ur,mc);
+-//               octave_value result;
+-
+-                for (int j = 0; j < mc; j++)
+-                  for (int i = 0; i < ur; i++)
+-                    sncndn (cu(i), rm(j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)  retval(3) = err;
+-              } else if (ur == mr && uc == mc) {
+-                Matrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
+-                Matrix err(ur,mc);
+-//               octave_value result;
+-
+-                for (int j = 0; j < uc; j++)
+-                 for (int i = 0; i < ur; i++)
+-                  sncndn (u(i,j), m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)  retval(3) = err;
+-              } else
+-                 error("u m invalid");
+-              } else
+-                gripe_ellipj_arg ( "first ");
+-            } else {  // u complex matrix
+-              ComplexMatrix u = u_arg.complex_matrix_value ();
+-              if (! error_state) {
+-                int ur = u.rows ();
+-                int uc = u.cols ();
+-
+-              if (mr == 1 && uc == 1) {
+-                RowVector rm = m.row ((octave_idx_type)0);
+-                ComplexColumnVector cu = u.column ((octave_idx_type)0);
+-
+-                ComplexMatrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
+-                Matrix err(ur,mc);
+-//               octave_value result;
+-
+-                for (int j = 0; j < mc; j++)
+-                  for (int i = 0; i < ur; i++)
+-                    sncndn (cu(i), rm(j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)  retval(3) = err;
+-              } else if (ur == mr && uc == mc) {
+-
+-                ComplexMatrix sn (ur, mc), cn (ur, mc), dn (ur, mc);
+-                Matrix err(ur,mc);
+-//               octave_value result;
+-
+-                for (int j = 0; j < uc; j++)
+-                 for (int i = 0; i < ur; i++)
+-                  sncndn (u(i,j), m(i,j), sn(i,j), cn(i,j), dn(i,j), err(i,j));
+-
+-                retval (0) = sn;
+-                retval (1) = cn;
+-                retval (2) = dn;
+-                if (nargout > 3)  retval(3) = err;
+-              } else
+-                 error("u m invalid");
+-              } else
+-                gripe_ellipj_arg ( "second");
+-            }
+-           /*}}}*/
+-         }
+-       } else
+-          gripe_ellipj_arg ( "second");
+-     }  // m matrix
+-   } else  // wrong n. of argin
+-       print_usage ();
+-   return retval;
+-}
+-
+-/*
+-## demos taken from inst/ellipj.m
+-
+-%!demo
+-%! N = 150;
+-%! % m = [1-logspace(0,log(eps),N-1), 1]; ## m near 1
+-%! % m = [0, logspace(log(eps),0,N-1)];   ## m near 0
+-%!   m = linspace(0,1,N);                 ## m equally spaced
+-%! u = linspace(-20,20,N);
+-%! M = ones(length(u),1) * m;
+-%! U = u' * ones(1, length(m));
+-%! [sn, cn, dn] = ellipj(U,M);
+-%!
+-%! %% Plotting
+-%! figure(2)
+-%! c = colormap(hot(64));
+-%! data = {sn,cn,dn};
+-%! dname = {"sn","cn","dn"};
+-%! for i=1:3
+-%!   subplot(1,3,i);
+-%!   image(m,u,32*clip(data{i},[-1,1])+32); # clip function belongs to audio package
+-%!   title(dname{i});
+-%! end
+-%! colormap(c);
+-
+-%!demo
+-%! N = 200;
+-%! % m = [1-logspace(0,log(eps),N-1), 1]; ## m near 1
+-%! % m = [0, logspace(log(eps),0,N-1)];   ## m near 0
+-%!   m = linspace(0,1,N);                 ## m equally spaced
+-%! u = linspace(0,20,5);
+-%! M = ones(length(u),1) * m;
+-%! U = u' * ones(1, length(m));
+-%! [sn, cn, dn] = ellipj(U,M);
+-%!
+-%! %% Plotting
+-%! data = {sn,cn,dn};
+-%! dname = {"sn","cn","dn"};
+-%! for i=1:3
+-%!   subplot(1,3,i);
+-%!   plot(m, data{i});
+-%!   title(dname{i});
+-%!   grid on;
+-%! end
+-*/
+-
+-/*
+-## tests taken from inst/test_sncndn.m
+-
+-%!test
+-%! k = (tan(pi/8.))^2; m = k*k;
+-%! SN = [ 
+-%! -1. + I * 0. ,  -0.8392965923 + 0. * I
+-%! -1. + I * 0.2 ,  -0.8559363407 + 0.108250955 * I
+-%! -1. + I * 0.4 ,  -0.906529758 + 0.2204040232 * I
+-%! -1. + I * 0.6 ,  -0.9931306727 + 0.3403783409 * I
+-%! -1. + I * 0.8 ,  -1.119268095 + 0.4720784944 * I
+-%! -1. + I * 1. ,  -1.29010951 + 0.6192468708 * I
+-%! -1. + I * 1.2 ,  -1.512691987 + 0.7850890595 * I
+-%! -1. + I * 1.4 ,  -1.796200374 + 0.9714821804 * I
+-%! -1. + I * 1.6 ,  -2.152201882 + 1.177446413 * I
+-%! -1. + I * 1.8 ,  -2.594547417 + 1.396378892 * I
+-%! -1. + I * 2. ,  -3.138145339 + 1.611394819 * I
+-%! -0.8 + I * 0. ,  -0.7158157937 + 0. * I
+-%! -0.8 + I * 0.2 ,  -0.7301746722 + 0.1394690862 * I
+-%! -0.8 + I * 0.4 ,  -0.7738940898 + 0.2841710966 * I
+-%! -0.8 + I * 0.6 ,  -0.8489542135 + 0.4394411376 * I
+-%! -0.8 + I * 0.8 ,  -0.9588386397 + 0.6107824358 * I
+-%! -0.8 + I * 1. ,  -1.108848724 + 0.8038415767 * I
+-%! -0.8 + I * 1.2 ,  -1.306629972 + 1.024193359 * I
+-%! -0.8 + I * 1.4 ,  -1.563010199 + 1.276740951 * I
+-%! -0.8 + I * 1.6 ,  -1.893274688 + 1.564345558 * I
+-%! -0.8 + I * 1.8 ,  -2.318944084 + 1.88491973 * I
+-%! -0.8 + I * 2. ,  -2.869716809 + 2.225506523 * I
+-%! -0.6 + I * 0. ,  -0.5638287208 + 0. * I
+-%! -0.6 + I * 0.2 ,  -0.5752723012 + 0.1654722474 * I
+-%! -0.6 + I * 0.4 ,  -0.610164314 + 0.3374004736 * I
+-%! -0.6 + I * 0.6 ,  -0.6702507087 + 0.5224614298 * I
+-%! -0.6 + I * 0.8 ,  -0.7586657365 + 0.7277663879 * I
+-%! -0.6 + I * 1. ,  -0.8803349115 + 0.9610513652 * I
+-%! -0.6 + I * 1.2 ,  -1.042696526 + 1.230800819 * I
+-%! -0.6 + I * 1.4 ,  -1.256964505 + 1.546195843 * I
+-%! -0.6 + I * 1.6 ,  -1.540333527 + 1.916612621 * I
+-%! -0.6 + I * 1.8 ,  -1.919816065 + 2.349972151 * I
+-%! -0.6 + I * 2. ,  -2.438761841 + 2.848129496 * I
+-%! -0.4 + I * 0. ,  -0.3891382858 + 0. * I
+-%! -0.4 + I * 0.2 ,  -0.3971152026 + 0.1850563793 * I
+-%! -0.4 + I * 0.4 ,  -0.4214662882 + 0.3775700801 * I
+-%! -0.4 + I * 0.6 ,  -0.4635087491 + 0.5853434119 * I
+-%! -0.4 + I * 0.8 ,  -0.5256432877 + 0.8168992398 * I
+-%! -0.4 + I * 1. ,  -0.611733177 + 1.081923504 * I
+-%! -0.4 + I * 1.2 ,  -0.7278102331 + 1.391822501 * I
+-%! -0.4 + I * 1.4 ,  -0.8833807998 + 1.760456461 * I
+-%! -0.4 + I * 1.6 ,  -1.093891878 + 2.205107766 * I
+-%! -0.4 + I * 1.8 ,  -1.385545188 + 2.747638761 * I
+-%! -0.4 + I * 2. ,  -1.805081271 + 3.41525351 * I
+-%! -0.2 + I * 0. ,  -0.1986311721 + 0. * I
+-%! -0.2 + I * 0.2 ,  -0.2027299916 + 0.1972398665 * I
+-%! -0.2 + I * 0.4 ,  -0.2152524522 + 0.402598347 * I
+-%! -0.2 + I * 0.6 ,  -0.2369100139 + 0.6246336356 * I
+-%! -0.2 + I * 0.8 ,  -0.2690115146 + 0.8728455227 * I
+-%! -0.2 + I * 1. ,  -0.3136938773 + 1.158323088 * I
+-%! -0.2 + I * 1.2 ,  -0.3743615191 + 1.494672508 * I
+-%! -0.2 + I * 1.4 ,  -0.4565255082 + 1.899466033 * I
+-%! -0.2 + I * 1.6 ,  -0.5694611346 + 2.39667232 * I
+-%! -0.2 + I * 1.8 ,  -0.7296612675 + 3.020990664 * I
+-%! -0.2 + I * 2. ,  -0.9685726188 + 3.826022536 * I
+-%! 0. + I * 0. ,  0. + 0. * I
+-%! 0. + I * 0.2 ,  0. + 0.201376364 * I
+-%! 0. + I * 0.4 ,  0. + 0.4111029248 * I
+-%! 0. + I * 0.6 ,  0. + 0.6380048435 * I
+-%! 0. + I * 0.8 ,  0. + 0.8919321473 * I
+-%! 0. + I * 1. ,  0. + 1.184486615 * I
+-%! 0. + I * 1.2 ,  0. + 1.530096023 * I
+-%! 0. + I * 1.4 ,  0. + 1.947754612 * I
+-%! 0. + I * 1.6 ,  0. + 2.464074356 * I
+-%! 0. + I * 1.8 ,  0. + 3.119049475 * I
+-%! 0. + I * 2. ,  0. + 3.97786237 * I
+-%! 0.2 + I * 0. ,  0.1986311721 + 0. * I
+-%! 0.2 + I * 0.2 ,  0.2027299916 + 0.1972398665 * I
+-%! 0.2 + I * 0.4 ,  0.2152524522 + 0.402598347 * I
+-%! 0.2 + I * 0.6 ,  0.2369100139 + 0.6246336356 * I
+-%! 0.2 + I * 0.8 ,  0.2690115146 + 0.8728455227 * I
+-%! 0.2 + I * 1. ,  0.3136938773 + 1.158323088 * I
+-%! 0.2 + I * 1.2 ,  0.3743615191 + 1.494672508 * I
+-%! 0.2 + I * 1.4 ,  0.4565255082 + 1.899466033 * I
+-%! 0.2 + I * 1.6 ,  0.5694611346 + 2.39667232 * I
+-%! 0.2 + I * 1.8 ,  0.7296612675 + 3.020990664 * I
+-%! 0.2 + I * 2. ,  0.9685726188 + 3.826022536 * I
+-%! 0.4 + I * 0. ,  0.3891382858 + 0. * I
+-%! 0.4 + I * 0.2 ,  0.3971152026 + 0.1850563793 * I
+-%! 0.4 + I * 0.4 ,  0.4214662882 + 0.3775700801 * I
+-%! 0.4 + I * 0.6 ,  0.4635087491 + 0.5853434119 * I
+-%! 0.4 + I * 0.8 ,  0.5256432877 + 0.8168992398 * I
+-%! 0.4 + I * 1. ,  0.611733177 + 1.081923504 * I
+-%! 0.4 + I * 1.2 ,  0.7278102331 + 1.391822501 * I
+-%! 0.4 + I * 1.4 ,  0.8833807998 + 1.760456461 * I
+-%! 0.4 + I * 1.6 ,  1.093891878 + 2.205107766 * I
+-%! 0.4 + I * 1.8 ,  1.385545188 + 2.747638761 * I
+-%! 0.4 + I * 2. ,  1.805081271 + 3.41525351 * I
+-%! 0.6 + I * 0. ,  0.5638287208 + 0. * I
+-%! 0.6 + I * 0.2 ,  0.5752723012 + 0.1654722474 * I
+-%! 0.6 + I * 0.4 ,  0.610164314 + 0.3374004736 * I
+-%! 0.6 + I * 0.6 ,  0.6702507087 + 0.5224614298 * I
+-%! 0.6 + I * 0.8 ,  0.7586657365 + 0.7277663879 * I
+-%! 0.6 + I * 1. ,  0.8803349115 + 0.9610513652 * I
+-%! 0.6 + I * 1.2 ,  1.042696526 + 1.230800819 * I
+-%! 0.6 + I * 1.4 ,  1.256964505 + 1.546195843 * I
+-%! 0.6 + I * 1.6 ,  1.540333527 + 1.916612621 * I
+-%! 0.6 + I * 1.8 ,  1.919816065 + 2.349972151 * I
+-%! 0.6 + I * 2. ,  2.438761841 + 2.848129496 * I
+-%! 0.8 + I * 0. ,  0.7158157937 + 0. * I
+-%! 0.8 + I * 0.2 ,  0.7301746722 + 0.1394690862 * I
+-%! 0.8 + I * 0.4 ,  0.7738940898 + 0.2841710966 * I
+-%! 0.8 + I * 0.6 ,  0.8489542135 + 0.4394411376 * I
+-%! 0.8 + I * 0.8 ,  0.9588386397 + 0.6107824358 * I
+-%! 0.8 + I * 1. ,  1.108848724 + 0.8038415767 * I
+-%! 0.8 + I * 1.2 ,  1.306629972 + 1.024193359 * I
+-%! 0.8 + I * 1.4 ,  1.563010199 + 1.276740951 * I
+-%! 0.8 + I * 1.6 ,  1.893274688 + 1.564345558 * I
+-%! 0.8 + I * 1.8 ,  2.318944084 + 1.88491973 * I
+-%! 0.8 + I * 2. ,  2.869716809 + 2.225506523 * I
+-%! 1. + I * 0. ,  0.8392965923 + 0. * I
+-%! 1. + I * 0.2 ,  0.8559363407 + 0.108250955 * I
+-%! 1. + I * 0.4 ,  0.906529758 + 0.2204040232 * I
+-%! 1. + I * 0.6 ,  0.9931306727 + 0.3403783409 * I
+-%! 1. + I * 0.8 ,  1.119268095 + 0.4720784944 * I
+-%! 1. + I * 1. ,  1.29010951 + 0.6192468708 * I
+-%! 1. + I * 1.2 ,  1.512691987 + 0.7850890595 * I
+-%! 1. + I * 1.4 ,  1.796200374 + 0.9714821804 * I
+-%! 1. + I * 1.6 ,  2.152201882 + 1.177446413 * I
+-%! 1. + I * 1.8 ,  2.594547417 + 1.396378892 * I
+-%! 1. + I * 2. ,  3.138145339 + 1.611394819 * I
+-%! ];
+-%! CN = [
+-%! -1. + I * 0. , 0.5436738271 + 0. * I
+-%! -1. + I * 0.2 , 0.5541219664 + 0.1672121517 * I
+-%! -1. + I * 0.4 , 0.5857703552 + 0.3410940893 * I
+-%! -1. + I * 0.6 , 0.6395034233 + 0.5285979063 * I
+-%! -1. + I * 0.8 , 0.716688504 + 0.7372552987 * I
+-%! -1. + I * 1. , 0.8189576795 + 0.9755037374 * I
+-%! -1. + I * 1.2 , 0.9477661951 + 1.253049471 * I
+-%! -1. + I * 1.4 , 1.103540657 + 1.581252712 * I
+-%! -1. + I * 1.6 , 1.284098214 + 1.973449038 * I
+-%! -1. + I * 1.8 , 1.481835651 + 2.4449211 * I
+-%! -1. + I * 2. , 1.679032464 + 3.011729224 * I
+-%! -0.8 + I * 0. , 0.6982891589 + 0. * I
+-%! -0.8 + I * 0.2 , 0.71187169 + 0.1430549855 * I
+-%! -0.8 + I * 0.4 , 0.7530744458 + 0.2920273465 * I
+-%! -0.8 + I * 0.6 , 0.8232501212 + 0.4531616768 * I
+-%! -0.8 + I * 0.8 , 0.9245978896 + 0.6334016187 * I
+-%! -0.8 + I * 1. , 1.060030206 + 0.8408616109 * I
+-%! -0.8 + I * 1.2 , 1.232861756 + 1.085475913 * I
+-%! -0.8 + I * 1.4 , 1.446126965 + 1.379933558 * I
+-%! -0.8 + I * 1.6 , 1.701139468 + 1.741030588 * I
+-%! -0.8 + I * 1.8 , 1.994526268 + 2.191509596 * I
+-%! -0.8 + I * 2. , 2.312257188 + 2.762051518 * I
+-%! -0.6 + I * 0. , 0.8258917445 + 0. * I
+-%! -0.6 + I * 0.2 , 0.842151698 + 0.1130337928 * I
+-%! -0.6 + I * 0.4 , 0.8915487431 + 0.2309124769 * I
+-%! -0.6 + I * 0.6 , 0.975948103 + 0.3588102098 * I
+-%! -0.6 + I * 0.8 , 1.098499209 + 0.5026234141 * I
+-%! -0.6 + I * 1. , 1.263676101 + 0.6695125973 * I
+-%! -0.6 + I * 1.2 , 1.477275851 + 0.8687285705 * I
+-%! -0.6 + I * 1.4 , 1.746262523 + 1.112955966 * I
+-%! -0.6 + I * 1.6 , 2.078179075 + 1.420581466 * I
+-%! -0.6 + I * 1.8 , 2.479425208 + 1.819580713 * I
+-%! -0.6 + I * 2. , 2.950586798 + 2.354077344 * I
+-%! -0.4 + I * 0. , 0.9211793498 + 0. * I
+-%! -0.4 + I * 0.2 , 0.9395019377 + 0.07822091534 * I
+-%! -0.4 + I * 0.4 , 0.9952345231 + 0.1598950363 * I
+-%! -0.4 + I * 0.6 , 1.090715991 + 0.2487465067 * I
+-%! -0.4 + I * 0.8 , 1.229998843 + 0.34910407 * I
+-%! -0.4 + I * 1. , 1.419103868 + 0.4663848201 * I
+-%! -0.4 + I * 1.2 , 1.666426377 + 0.607877235 * I
+-%! -0.4 + I * 1.4 , 1.983347336 + 0.7841054404 * I
+-%! -0.4 + I * 1.6 , 2.385101684 + 1.01134031 * I
+-%! -0.4 + I * 1.8 , 2.89185416 + 1.316448705 * I
+-%! -0.4 + I * 2. , 3.529393374 + 1.74670531 * I
+-%! -0.2 + I * 0. , 0.9800743122 + 0. * I
+-%! -0.2 + I * 0.2 , 0.9997019476 + 0.03999835809 * I
+-%! -0.2 + I * 0.4 , 1.059453907 + 0.08179712295 * I
+-%! -0.2 + I * 0.6 , 1.16200643 + 0.1273503824 * I
+-%! -0.2 + I * 0.8 , 1.312066413 + 0.1789585449 * I
+-%! -0.2 + I * 1. , 1.516804331 + 0.2395555269 * I
+-%! -0.2 + I * 1.2 , 1.786613221 + 0.313189147 * I
+-%! -0.2 + I * 1.4 , 2.136422971 + 0.405890925 * I
+-%! -0.2 + I * 1.6 , 2.588021972 + 0.527357091 * I
+-%! -0.2 + I * 1.8 , 3.174302819 + 0.6944201617 * I
+-%! -0.2 + I * 2. , 3.947361147 + 0.9387994989 * I
+-%! 0. + I * 0. , 1. + 0. * I
+-%! 0. + I * 0.2 , 1.020074723 + 0. * I
+-%! 0. + I * 0.4 , 1.08120563 + 0. * I
+-%! 0. + I * 0.6 , 1.18619146 + 0. * I
+-%! 0. + I * 0.8 , 1.339978715 + 0. * I
+-%! 0. + I * 1. , 1.550164037 + 0. * I
+-%! 0. + I * 1.2 , 1.827893279 + 0. * I
+-%! 0. + I * 1.4 , 2.189462954 + 0. * I
+-%! 0. + I * 1.6 , 2.659259752 + 0. * I
+-%! 0. + I * 1.8 , 3.275434266 + 0. * I
+-%! 0. + I * 2. , 4.101632484 + 0. * I
+-%! 0.2 + I * 0. , 0.9800743122 + 0. * I
+-%! 0.2 + I * 0.2 , 0.9997019476 - 0.03999835809 * I
+-%! 0.2 + I * 0.4 , 1.059453907 - 0.08179712295 * I
+-%! 0.2 + I * 0.6 , 1.16200643 - 0.1273503824 * I
+-%! 0.2 + I * 0.8 , 1.312066413 - 0.1789585449 * I
+-%! 0.2 + I * 1. , 1.516804331 - 0.2395555269 * I
+-%! 0.2 + I * 1.2 , 1.786613221 - 0.313189147 * I
+-%! 0.2 + I * 1.4 , 2.136422971 - 0.405890925 * I
+-%! 0.2 + I * 1.6 , 2.588021972 - 0.527357091 * I
+-%! 0.2 + I * 1.8 , 3.174302819 - 0.6944201617 * I
+-%! 0.2 + I * 2. , 3.947361147 - 0.9387994989 * I
+-%! 0.4 + I * 0. , 0.9211793498 + 0. * I
+-%! 0.4 + I * 0.2 , 0.9395019377 - 0.07822091534 * I
+-%! 0.4 + I * 0.4 , 0.9952345231 - 0.1598950363 * I
+-%! 0.4 + I * 0.6 , 1.090715991 - 0.2487465067 * I
+-%! 0.4 + I * 0.8 , 1.229998843 - 0.34910407 * I
+-%! 0.4 + I * 1. , 1.419103868 - 0.4663848201 * I
+-%! 0.4 + I * 1.2 , 1.666426377 - 0.607877235 * I
+-%! 0.4 + I * 1.4 , 1.983347336 - 0.7841054404 * I
+-%! 0.4 + I * 1.6 , 2.385101684 - 1.01134031 * I
+-%! 0.4 + I * 1.8 , 2.89185416 - 1.316448705 * I
+-%! 0.4 + I * 2. , 3.529393374 - 1.74670531 * I
+-%! 0.6 + I * 0. , 0.8258917445 + 0. * I
+-%! 0.6 + I * 0.2 , 0.842151698 - 0.1130337928 * I
+-%! 0.6 + I * 0.4 , 0.8915487431 - 0.2309124769 * I
+-%! 0.6 + I * 0.6 , 0.975948103 - 0.3588102098 * I
+-%! 0.6 + I * 0.8 , 1.098499209 - 0.5026234141 * I
+-%! 0.6 + I * 1. , 1.263676101 - 0.6695125973 * I
+-%! 0.6 + I * 1.2 , 1.477275851 - 0.8687285705 * I
+-%! 0.6 + I * 1.4 , 1.746262523 - 1.112955966 * I
+-%! 0.6 + I * 1.6 , 2.078179075 - 1.420581466 * I
+-%! 0.6 + I * 1.8 , 2.479425208 - 1.819580713 * I
+-%! 0.6 + I * 2. , 2.950586798 - 2.354077344 * I
+-%! 0.8 + I * 0. , 0.6982891589 + 0. * I
+-%! 0.8 + I * 0.2 , 0.71187169 - 0.1430549855 * I
+-%! 0.8 + I * 0.4 , 0.7530744458 - 0.2920273465 * I
+-%! 0.8 + I * 0.6 , 0.8232501212 - 0.4531616768 * I
+-%! 0.8 + I * 0.8 , 0.9245978896 - 0.6334016187 * I
+-%! 0.8 + I * 1. , 1.060030206 - 0.8408616109 * I
+-%! 0.8 + I * 1.2 , 1.232861756 - 1.085475913 * I
+-%! 0.8 + I * 1.4 , 1.446126965 - 1.379933558 * I
+-%! 0.8 + I * 1.6 , 1.701139468 - 1.741030588 * I
+-%! 0.8 + I * 1.8 , 1.994526268 - 2.191509596 * I
+-%! 0.8 + I * 2. , 2.312257188 - 2.762051518 * I
+-%! 1. + I * 0. , 0.5436738271 + 0. * I
+-%! 1. + I * 0.2 , 0.5541219664 - 0.1672121517 * I
+-%! 1. + I * 0.4 , 0.5857703552 - 0.3410940893 * I
+-%! 1. + I * 0.6 , 0.6395034233 - 0.5285979063 * I
+-%! 1. + I * 0.8 , 0.716688504 - 0.7372552987 * I
+-%! 1. + I * 1. , 0.8189576795 - 0.9755037374 * I
+-%! 1. + I * 1.2 , 0.9477661951 - 1.253049471 * I
+-%! 1. + I * 1.4 , 1.103540657 - 1.581252712 * I
+-%! 1. + I * 1.6 , 1.284098214 - 1.973449038 * I
+-%! 1. + I * 1.8 , 1.481835651 - 2.4449211 * I
+-%! 1. + I * 2. , 1.679032464 - 3.011729224 * I
+-%! ];
+-%! DN = [
+-%! -1. + I * 0. , 0.9895776106 + 0. * I
+-%! -1. + I * 0.2 , 0.9893361555 + 0.002756935338 * I
+-%! -1. + I * 0.4 , 0.9885716856 + 0.005949639805 * I
+-%! -1. + I * 0.6 , 0.9871564855 + 0.01008044183 * I
+-%! -1. + I * 0.8 , 0.9848512162 + 0.01579337596 * I
+-%! -1. + I * 1. , 0.9812582484 + 0.02396648455 * I
+-%! -1. + I * 1.2 , 0.9757399152 + 0.0358288294 * I
+-%! -1. + I * 1.4 , 0.9672786056 + 0.0531049859 * I
+-%! -1. + I * 1.6 , 0.954237868 + 0.0781744383 * I
+-%! -1. + I * 1.8 , 0.933957524 + 0.1141918269 * I
+-%! -1. + I * 2. , 0.9020917489 + 0.1650142936 * I
+-%! -0.8 + I * 0. , 0.992429635 + 0. * I
+-%! -0.8 + I * 0.2 , 0.9924147861 + 0.003020708044 * I
+-%! -0.8 + I * 0.4 , 0.99236555 + 0.00652359532 * I
+-%! -0.8 + I * 0.6 , 0.9922655715 + 0.0110676219 * I
+-%! -0.8 + I * 0.8 , 0.9920785856 + 0.01737733806 * I
+-%! -0.8 + I * 1. , 0.9917291795 + 0.02645738598 * I
+-%! -0.8 + I * 1.2 , 0.9910606387 + 0.03974949378 * I
+-%! -0.8 + I * 1.4 , 0.9897435004 + 0.05935252515 * I
+-%! -0.8 + I * 1.6 , 0.987077644 + 0.08832675281 * I
+-%! -0.8 + I * 1.8 , 0.9815667458 + 0.1310872821 * I
+-%! -0.8 + I * 2. , 0.970020127 + 0.1938136793 * I
+-%! -0.6 + I * 0. , 0.9953099088 + 0. * I
+-%! -0.6 + I * 0.2 , 0.995526009 + 0.002814772354 * I
+-%! -0.6 + I * 0.4 , 0.9962071136 + 0.006083312292 * I
+-%! -0.6 + I * 0.6 , 0.9974557125 + 0.01033463525 * I
+-%! -0.6 + I * 0.8 , 0.9994560563 + 0.01626207722 * I
+-%! -0.6 + I * 1. , 1.00249312 + 0.02484336286 * I
+-%! -0.6 + I * 1.2 , 1.006973922 + 0.0375167093 * I
+-%! -0.6 + I * 1.4 , 1.013436509 + 0.05645315628 * I
+-%! -0.6 + I * 1.6 , 1.022504295 + 0.08499262247 * I
+-%! -0.6 + I * 1.8 , 1.034670023 + 0.1283564595 * I
+-%! -0.6 + I * 2. , 1.049599899 + 0.194806122 * I
+-%! -0.4 + I * 0. , 0.9977686897 + 0. * I
+-%! -0.4 + I * 0.2 , 0.9981836165 + 0.002167241934 * I
+-%! -0.4 + I * 0.4 , 0.9994946045 + 0.004686808612 * I
+-%! -0.4 + I * 0.6 , 1.001910789 + 0.00797144174 * I
+-%! -0.4 + I * 0.8 , 1.005817375 + 0.01256717724 * I
+-%! -0.4 + I * 1. , 1.011836374 + 0.01925509038 * I
+-%! -0.4 + I * 1.2 , 1.020923572 + 0.02920828367 * I
+-%! -0.4 + I * 1.4 , 1.034513743 + 0.04425213602 * I
+-%! -0.4 + I * 1.6 , 1.054725746 + 0.06732276244 * I
+-%! -0.4 + I * 1.8 , 1.08462027 + 0.1033236812 * I
+-%! -0.4 + I * 2. , 1.128407402 + 0.1608240664 * I
+-%! -0.2 + I * 0. , 0.9994191176 + 0. * I
+-%! -0.2 + I * 0.2 , 0.9999683719 + 0.001177128019 * I
+-%! -0.2 + I * 0.4 , 1.001705496 + 0.00254669712 * I
+-%! -0.2 + I * 0.6 , 1.004913944 + 0.004334880912 * I
+-%! -0.2 + I * 0.8 , 1.010120575 + 0.006842775622 * I
+-%! -0.2 + I * 1. , 1.018189543 + 0.01050520136 * I
+-%! -0.2 + I * 1.2 , 1.030482479 + 0.01598431001 * I
+-%! -0.2 + I * 1.4 , 1.049126108 + 0.02433134655 * I
+-%! -0.2 + I * 1.6 , 1.077466003 + 0.0372877718 * I
+-%! -0.2 + I * 1.8 , 1.120863308 + 0.05789156398 * I
+-%! -0.2 + I * 2. , 1.188162088 + 0.09181238708 * I
+-%! 0. + I * 0. , 1. + 0. * I
+-%! 0. + I * 0.2 , 1.000596698 + 0. * I
+-%! 0. + I * 0.4 , 1.002484444 + 0. * I
+-%! 0. + I * 0.6 , 1.005973379 + 0. * I
+-%! 0. + I * 0.8 , 1.011641536 + 0. * I
+-%! 0. + I * 1. , 1.020441432 + 0. * I
+-%! 0. + I * 1.2 , 1.033885057 + 0. * I
+-%! 0. + I * 1.4 , 1.054361188 + 0. * I
+-%! 0. + I * 1.6 , 1.085694733 + 0. * I
+-%! 0. + I * 1.8 , 1.134186672 + 0. * I
+-%! 0. + I * 2. , 1.210701071 + 0. * I
+-%! 0.2 + I * 0. , 0.9994191176 + 0. * I
+-%! 0.2 + I * 0.2 , 0.9999683719 - 0.001177128019 * I
+-%! 0.2 + I * 0.4 , 1.001705496 - 0.00254669712 * I
+-%! 0.2 + I * 0.6 , 1.004913944 - 0.004334880912 * I
+-%! 0.2 + I * 0.8 , 1.010120575 - 0.006842775622 * I
+-%! 0.2 + I * 1. , 1.018189543 - 0.01050520136 * I
+-%! 0.2 + I * 1.2 , 1.030482479 - 0.01598431001 * I
+-%! 0.2 + I * 1.4 , 1.049126108 - 0.02433134655 * I
+-%! 0.2 + I * 1.6 , 1.077466003 - 0.0372877718 * I
+-%! 0.2 + I * 1.8 , 1.120863308 - 0.05789156398 * I
+-%! 0.2 + I * 2. , 1.188162088 - 0.09181238708 * I
+-%! 0.4 + I * 0. , 0.9977686897 + 0. * I
+-%! 0.4 + I * 0.2 , 0.9981836165 - 0.002167241934 * I
+-%! 0.4 + I * 0.4 , 0.9994946045 - 0.004686808612 * I
+-%! 0.4 + I * 0.6 , 1.001910789 - 0.00797144174 * I
+-%! 0.4 + I * 0.8 , 1.005817375 - 0.01256717724 * I
+-%! 0.4 + I * 1. , 1.011836374 - 0.01925509038 * I
+-%! 0.4 + I * 1.2 , 1.020923572 - 0.02920828367 * I
+-%! 0.4 + I * 1.4 , 1.034513743 - 0.04425213602 * I
+-%! 0.4 + I * 1.6 , 1.054725746 - 0.06732276244 * I
+-%! 0.4 + I * 1.8 , 1.08462027 - 0.1033236812 * I
+-%! 0.4 + I * 2. , 1.128407402 - 0.1608240664 * I
+-%! 0.6 + I * 0. , 0.9953099088 + 0. * I
+-%! 0.6 + I * 0.2 , 0.995526009 - 0.002814772354 * I
+-%! 0.6 + I * 0.4 , 0.9962071136 - 0.006083312292 * I
+-%! 0.6 + I * 0.6 , 0.9974557125 - 0.01033463525 * I
+-%! 0.6 + I * 0.8 , 0.9994560563 - 0.01626207722 * I
+-%! 0.6 + I * 1. , 1.00249312 - 0.02484336286 * I
+-%! 0.6 + I * 1.2 , 1.006973922 - 0.0375167093 * I
+-%! 0.6 + I * 1.4 , 1.013436509 - 0.05645315628 * I
+-%! 0.6 + I * 1.6 , 1.022504295 - 0.08499262247 * I
+-%! 0.6 + I * 1.8 , 1.034670023 - 0.1283564595 * I
+-%! 0.6 + I * 2. , 1.049599899 - 0.194806122 * I
+-%! 0.8 + I * 0. , 0.992429635 + 0. * I
+-%! 0.8 + I * 0.2 , 0.9924147861 - 0.003020708044 * I
+-%! 0.8 + I * 0.4 , 0.99236555 - 0.00652359532 * I
+-%! 0.8 + I * 0.6 , 0.9922655715 - 0.0110676219 * I
+-%! 0.8 + I * 0.8 , 0.9920785856 - 0.01737733806 * I
+-%! 0.8 + I * 1. , 0.9917291795 - 0.02645738598 * I
+-%! 0.8 + I * 1.2 , 0.9910606387 - 0.03974949378 * I
+-%! 0.8 + I * 1.4 , 0.9897435004 - 0.05935252515 * I
+-%! 0.8 + I * 1.6 , 0.987077644 - 0.08832675281 * I
+-%! 0.8 + I * 1.8 , 0.9815667458 - 0.1310872821 * I
+-%! 0.8 + I * 2. , 0.970020127 - 0.1938136793 * I
+-%! 1. + I * 0. , 0.9895776106 + 0. * I
+-%! 1. + I * 0.2 , 0.9893361555 - 0.002756935338 * I
+-%! 1. + I * 0.4 , 0.9885716856 - 0.005949639805 * I
+-%! 1. + I * 0.6 , 0.9871564855 - 0.01008044183 * I
+-%! 1. + I * 0.8 , 0.9848512162 - 0.01579337596 * I
+-%! 1. + I * 1. , 0.9812582484 - 0.02396648455 * I
+-%! 1. + I * 1.2 , 0.9757399152 - 0.0358288294 * I
+-%! 1. + I * 1.4 , 0.9672786056 - 0.0531049859 * I
+-%! 1. + I * 1.6 , 0.954237868 - 0.0781744383 * I
+-%! 1. + I * 1.8 , 0.933957524 - 0.1141918269 * I
+-%! 1. + I * 2. , 0.9020917489 - 0.1650142936 * I
+-%! ];
+-%! tol = 1e-9;
+-%! for x = 0:10
+-%!   for y = 0:10
+-%!     ur = -1 + x * 0.2;
+-%!     ui =  y * 0.2;
+-%!     ii = 1 + y + x*11;
+-%!     [sn, cn, dn] = ellipj (ur + I * ui, m);
+-%!     assert (SN (ii, 2), sn, tol);
+-%!     assert (CN (ii, 2), cn, tol);
+-%!     assert (DN (ii, 2), dn, tol);
+-%!   endfor
+-%! endfor
+-
+-## tests taken from test_ellipj.m
+-%!test
+-%! u1 = pi/3; m1 = 0;
+-%! res1 = [sin(pi/3), cos(pi/3), 1];
+-%! [sn,cn,dn]=ellipj(u1,m1);
+-%! assert([sn,cn,dn], res1, 10*eps);
+-
+-%!test
+-%! u2 = log(2); m2 = 1;
+-%! res2 = [ 3/5, 4/5, 4/5 ];
+-%! [sn,cn,dn]=ellipj(u2,m2);
+-%! assert([sn,cn,dn], res2, 10*eps);
+-
+-%!test
+-%! u3 = log(2)*1i; m3 = 0;
+-%! res3 = [3i/4,5/4,1];
+-%! [sn,cn,dn]=ellipj(u3,m3);
+-%! assert([sn,cn,dn], res3, 10*eps);
+-
+-%!test
+-%! u4 = -1; m4 = tan(pi/8)^4;
+-%! res4 = [-0.8392965923,0.5436738271,0.9895776106];
+-%! [sn,cn,dn]=ellipj(u4, m4);
+-%! assert([sn,cn,dn], res4, 1e-10);
+-
+-%!test
+-%! u5 = -0.2 + 0.4i; m5 = tan(pi/8)^4;
+-%! res5 = [ -0.2152524522 + 0.402598347i, ...
+-%!           1.059453907  + 0.08179712295i, ...
+-%!           1.001705496  + 0.00254669712i ];
+-%! [sn,cn,dn]=ellipj(u5,m5);
+-%! assert([sn,cn,dn], res5, 1e-9);
+-
+-%!test
+-%! u6 = 0.2 + 0.6i; m6 = tan(pi/8)^4;
+-%! res6 = [ 0.2369100139 + 0.624633635i, ...
+-%!          1.16200643   - 0.1273503824i, ...
+-%!          1.004913944 - 0.004334880912i ];
+-%! [sn,cn,dn]=ellipj(u6,m6);
+-%! assert([sn,cn,dn], res6, 1e-8);
+-
+-%!test
+-%! u7 = 0.8 + 0.8i; m7 = tan(pi/8)^4;
+-%! res7 = [0.9588386397 + 0.6107824358i, ...
+-%!         0.9245978896 - 0.6334016187i, ...
+-%!         0.9920785856 - 0.01737733806i ];
+-%! [sn,cn,dn]=ellipj(u7,m7);
+-%! assert([sn,cn,dn], res7, 1e-10);
+-
+-%!test
+-%! u=[0,pi/6,pi/4,pi/2]; m=0;
+-%! res = [0,1/2,1/sqrt(2),1;1,cos(pi/6),1/sqrt(2),0;1,1,1,1];
+-%! [sn,cn,dn]=ellipj(u,m);
+-%! assert([sn;cn;dn],res, 100*eps);
+-%! [sn,cn,dn]=ellipj(u',0);
+-%! assert([sn,cn,dn],res', 100*eps);
+-
+-## XXX FIXME XXX
+-## need to check [real,complex]x[scalar,rowvec,colvec,matrix]x[u,m]
+-
+-%!test
+-%! ## Test Jacobi elliptic functions
+-%! ## against "exact" solution from Mathematica 3.0
+-%! ## David Billinghurst <David.Billinghurst@riotinto.com>
+-%! ## 1 February 2001
+-%! u = [ 0.25; 0.25; 0.20; 0.20; 0.672; 0.5];
+-%! m = [ 0.0;  1.0;  0.19; 0.81; 0.36;  0.9999999999];
+-%! S = [ sin(0.25); tanh(0.25);
+-%!  0.19842311013970879516;
+-%!  0.19762082367187648571;
+-%!  0.6095196917919021945;
+-%!  0.4621171572617320908 ];
+-%! C = [ cos(0.25); sech(0.25);
+-%!  0.9801164570409401062;
+-%!  0.9802785369736752032;
+-%!  0.7927709286533560550;
+-%!  0.8868188839691764094 ];
+-%! D = [ 1.0;  sech(0.25);
+-%!  0.9962526643271134302;
+-%!  0.9840560289645665155;
+-%!  0.9307281387786906491;
+-%!  0.8868188839812167635 ];
+-%! [sn,cn,dn] = ellipj(u,m);
+-%! assert(sn,S,8*eps);
+-%! assert(cn,C,8*eps);
+-%! assert(dn,D,8*eps);
+-*/
