Mercurial > octave
annotate libinterp/corefcn/ellipj.cc @ 33639:65b1cf6aa60a bytecode-interpreter tip
maint: Merge default to bytecode-interpreter
author | Arun Giridhar <arungiridhar@gmail.com> |
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date | Mon, 03 Jun 2024 14:38:47 -0400 |
parents | f53ac65ffba6 |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 2013-2024 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
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25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
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28 #endif |
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29 |
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30 #include "defun.h" |
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31 #include "error.h" |
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32 #include "lo-specfun.h" |
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33 |
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34 OCTAVE_BEGIN_NAMESPACE(octave) |
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35 |
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36 DEFUN (ellipj, args, , |
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37 doc: /* -*- texinfo -*- |
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38 @deftypefn {} {[@var{sn}, @var{cn}, @var{dn}, @var{err}] =} ellipj (@var{u}, @var{m}) |
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39 @deftypefnx {} {[@var{sn}, @var{cn}, @var{dn}, @var{err}] =} ellipj (@var{u}, @var{m}, @var{tol}) |
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40 Compute the Jacobi elliptic functions @var{sn}, @var{cn}, and @var{dn} |
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41 of complex argument @var{u} and real parameter @var{m}. |
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42 |
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43 If @var{m} is a scalar, the results are the same size as @var{u}. |
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44 If @var{u} is a scalar, the results are the same size as @var{m}. |
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45 If @var{u} is a column vector and @var{m} is a row vector, the |
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46 results are matrices with @code{length (@var{u})} rows and |
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47 @code{length (@var{m})} columns. Otherwise, @var{u} and |
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48 @var{m} must conform in size and the results will be the same size as the |
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49 inputs. |
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50 |
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51 The value of @var{u} may be complex. |
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52 The value of @var{m} must be 0 @leq{} @var{m} @leq{} 1. |
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53 |
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54 The optional input @var{tol} is currently ignored (@sc{matlab} uses this to |
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55 allow faster, less accurate approximation). |
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56 |
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57 If requested, @var{err} contains the following status information |
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58 and is the same size as the result. |
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59 |
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60 @enumerate 0 |
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61 @item |
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62 Normal return. |
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63 |
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64 @item |
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65 Error---no computation, algorithm termination condition not met, |
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66 return @code{NaN}. |
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67 @end enumerate |
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68 |
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69 Reference: Milton @nospell{Abramowitz} and Irene A @nospell{Stegun}, |
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70 @cite{Handbook of Mathematical Functions}, Chapter 16 (Sections 16.4, 16.13, |
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71 and 16.15), Dover, 1965. |
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72 |
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73 @seealso{ellipke} |
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74 @end deftypefn */) |
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75 { |
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76 int nargin = args.length (); |
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77 |
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78 if (nargin < 2 || nargin > 3) |
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79 print_usage (); |
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80 |
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81 octave_value u_arg = args(0); |
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82 octave_value m_arg = args(1); |
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83 |
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84 if (m_arg.is_scalar_type ()) |
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85 { |
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86 double m = args(1).xdouble_value ("ellipj: M must be a scalar or matrix"); |
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87 |
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88 if (u_arg.is_scalar_type ()) |
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89 { |
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90 if (u_arg.isreal ()) |
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91 { |
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92 // u real, m scalar |
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93 double u = args(0).xdouble_value ("ellipj: U must be a scalar or matrix"); |
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94 |
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95 double sn, cn, dn; |
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96 double err = 0; |
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97 |
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98 math::ellipj (u, m, sn, cn, dn, err); |
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99 |
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100 return ovl (sn, cn, dn, err); |
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101 } |
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102 else |
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103 { |
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104 // u complex, m scalar |
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105 Complex u = u_arg.xcomplex_value ("ellipj: U must be a scalar or matrix"); |
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106 |
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107 Complex sn, cn, dn; |
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108 double err = 0; |
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109 |
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110 math::ellipj (u, m, sn, cn, dn, err); |
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111 |
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112 return ovl (sn, cn, dn, err); |
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113 } |
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114 } |
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115 else |
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116 { |
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117 // u is matrix, m is scalar |
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118 ComplexNDArray u = u_arg.xcomplex_array_value ("ellipj: U must be a scalar or matrix"); |
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119 |
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120 const dim_vector& sz_u = u.dims (); |
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121 |
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122 ComplexNDArray sn (sz_u), cn (sz_u), dn (sz_u); |
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123 NDArray err (sz_u); |
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124 |
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125 const Complex *pu = u.data (); |
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126 Complex *psn = sn.rwdata (); |
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127 Complex *pcn = cn.rwdata (); |
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128 Complex *pdn = dn.rwdata (); |
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129 double *perr = err.rwdata (); |
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130 octave_idx_type nel = u.numel (); |
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131 |
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132 for (octave_idx_type i = 0; i < nel; i++) |
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133 math::ellipj (pu[i], m, psn[i], pcn[i], pdn[i], perr[i]); |
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134 |
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135 return ovl (sn, cn, dn, err); |
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136 } |
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137 } |
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138 else |
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139 { |
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140 NDArray m = args(1).xarray_value ("ellipj: M must be a scalar or matrix"); |
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141 |
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142 const dim_vector& sz_m = m.dims (); |
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143 |
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144 if (u_arg.is_scalar_type ()) |
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145 { |
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146 // u is scalar, m is array |
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147 if (u_arg.isreal ()) |
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148 { |
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149 // u is real scalar, m is array |
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150 double u = u_arg.xdouble_value ("ellipj: U must be a scalar or matrix"); |
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151 |
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152 NDArray sn (sz_m), cn (sz_m), dn (sz_m); |
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153 NDArray err (sz_m); |
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154 |
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155 const double *pm = m.data (); |
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156 double *psn = sn.rwdata (); |
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157 double *pcn = cn.rwdata (); |
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158 double *pdn = dn.rwdata (); |
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159 double *perr = err.rwdata (); |
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160 octave_idx_type nel = m.numel (); |
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161 |
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162 for (octave_idx_type i = 0; i < nel; i++) |
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163 math::ellipj (u, pm[i], psn[i], pcn[i], pdn[i], perr[i]); |
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164 |
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165 return ovl (sn, cn, dn, err); |
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166 } |
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167 else |
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168 { |
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169 // u is complex scalar, m is array |
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170 Complex u = u_arg.xcomplex_value ("ellipj: U must be a scalar or matrix"); |
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171 |
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172 ComplexNDArray sn (sz_m), cn (sz_m), dn (sz_m); |
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173 NDArray err (sz_m); |
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174 |
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175 const double *pm = m.data (); |
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176 Complex *psn = sn.rwdata (); |
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177 Complex *pcn = cn.rwdata (); |
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178 Complex *pdn = dn.rwdata (); |
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179 double *perr = err.rwdata (); |
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180 octave_idx_type nel = m.numel (); |
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181 |
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182 for (octave_idx_type i = 0; i < nel; i++) |
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183 math::ellipj (u, pm[i], psn[i], pcn[i], pdn[i], perr[i]); |
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184 |
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185 return ovl (sn, cn, dn, err); |
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186 } |
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187 } |
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188 else |
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189 { |
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190 // u is array, m is array |
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191 if (u_arg.isreal ()) |
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192 { |
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193 // u is real array, m is array |
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194 NDArray u = u_arg.xarray_value ("ellipj: U must be a scalar or matrix"); |
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195 |
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196 const dim_vector& sz_u = u.dims (); |
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197 |
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198 if (sz_u.ndims () == 2 && sz_m.ndims () == 2 |
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199 && sz_u(1) == 1 && sz_m(0) == 1) |
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200 { |
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201 // u is real column vector, m is row vector |
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202 octave_idx_type ur = sz_u(0); |
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203 octave_idx_type mc = sz_m(1); |
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204 dim_vector sz_out (ur, mc); |
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205 |
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206 NDArray sn (sz_out), cn (sz_out), dn (sz_out); |
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207 NDArray err (sz_out); |
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208 |
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209 const double *pu = u.data (); |
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210 const double *pm = m.data (); |
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211 |
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212 for (octave_idx_type j = 0; j < mc; j++) |
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213 for (octave_idx_type i = 0; i < ur; i++) |
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214 math::ellipj (pu[i], pm[j], sn(i, j), cn(i, j), dn(i, j), err(i, j)); |
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215 |
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216 return ovl (sn, cn, dn, err); |
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217 } |
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218 else if (sz_m == sz_u) |
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219 { |
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220 NDArray sn (sz_m), cn (sz_m), dn (sz_m); |
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221 NDArray err (sz_m); |
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222 |
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223 const double *pu = u.data (); |
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224 const double *pm = m.data (); |
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225 double *psn = sn.rwdata (); |
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226 double *pcn = cn.rwdata (); |
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227 double *pdn = dn.rwdata (); |
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228 double *perr = err.rwdata (); |
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229 octave_idx_type nel = m.numel (); |
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230 |
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231 for (octave_idx_type i = 0; i < nel; i++) |
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232 math::ellipj (pu[i], pm[i], psn[i], pcn[i], pdn[i], perr[i]); |
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233 |
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234 return ovl (sn, cn, dn, err); |
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235 } |
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236 else |
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237 error ("ellipj: Invalid size combination for U and M"); |
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238 } |
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239 else |
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240 { |
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241 // u is complex array, m is array |
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242 ComplexNDArray u = u_arg.xcomplex_array_value ("ellipj: U must be a scalar or matrix"); |
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243 |
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244 const dim_vector& sz_u = u.dims (); |
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245 |
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246 if (sz_u.ndims () == 2 && sz_m.ndims () == 2 |
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247 && sz_u(1) == 1 && sz_m(0) == 1) |
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248 { |
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249 // u is complex column vector, m is row vector |
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250 octave_idx_type ur = sz_u(0); |
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251 octave_idx_type mc = sz_m(1); |
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252 dim_vector sz_out (ur, mc); |
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253 |
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254 ComplexNDArray sn (sz_out), cn (sz_out), dn (sz_out); |
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255 NDArray err (sz_out); |
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256 |
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257 const Complex *pu = u.data (); |
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258 const double *pm = m.data (); |
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259 |
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260 for (octave_idx_type j = 0; j < mc; j++) |
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261 for (octave_idx_type i = 0; i < ur; i++) |
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262 math::ellipj (pu[i], pm[j], sn(i, j), cn(i, j), dn(i, j), err(i, j)); |
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263 |
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264 return ovl (sn, cn, dn, err); |
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265 } |
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266 else if (sz_m == sz_u) |
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267 { |
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268 ComplexNDArray sn (sz_m), cn (sz_m), dn (sz_m); |
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269 NDArray err (sz_m); |
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270 |
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271 const Complex *pu = u.data (); |
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272 const double *pm = m.data (); |
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273 Complex *psn = sn.rwdata (); |
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274 Complex *pcn = cn.rwdata (); |
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275 Complex *pdn = dn.rwdata (); |
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276 double *perr = err.rwdata (); |
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277 octave_idx_type nel = m.numel (); |
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278 |
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279 for (octave_idx_type i = 0; i < nel; i++) |
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280 math::ellipj (pu[i], pm[i], psn[i], pcn[i], pdn[i], perr[i]); |
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281 |
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282 return ovl (sn, cn, dn, err); |
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283 } |
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284 else |
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285 error ("ellipj: Invalid size combination for U and M"); |
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286 } |
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287 } |
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288 } // m matrix |
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289 |
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290 return ovl (); |
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291 } |
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292 |
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293 /* |
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294 ## demos taken from inst/ellipj.m |
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295 |
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296 %!demo |
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297 %! N = 150; |
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298 %! # m = [1-logspace(0,log(eps),N-1), 1]; # m near 1 |
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299 %! # m = [0, logspace(log(eps),0,N-1)]; # m near 0 |
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300 %! m = linspace (0,1,N); # m equally spaced |
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301 %! u = linspace (-20, 20, N); |
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302 %! M = ones (length (u), 1) * m; |
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303 %! U = u' * ones (1, length (m)); |
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304 %! [sn, cn, dn] = ellipj (U,M); |
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305 %! |
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306 %! ## Plotting |
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307 %! data = {sn,cn,dn}; |
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308 %! dname = {"sn","cn","dn"}; |
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309 %! for i=1:3 |
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310 %! subplot (1,3,i); |
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311 %! data{i}(data{i} > 1) = 1; |
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312 %! data{i}(data{i} < -1) = -1; |
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313 %! image (m,u,32*data{i}+32); |
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314 %! title (dname{i}); |
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315 %! endfor |
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316 %! colormap (hot (64)); |
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317 |
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318 %!demo |
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319 %! N = 200; |
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320 %! # m = [1-logspace(0,log(eps),N-1), 1]; # m near 1 |
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321 %! # m = [0, logspace(log(eps),0,N-1)]; # m near 0 |
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322 %! m = linspace (0,1,N); # m equally spaced |
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323 %! u = linspace (0,20,5); |
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324 %! M = ones (length (u), 1) * m; |
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325 %! U = u' * ones (1, length (m)); |
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326 %! [sn, cn, dn] = ellipj (U,M); |
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327 %! |
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328 %! ## Plotting |
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329 %! data = {sn,cn,dn}; |
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330 %! dname = {"sn","cn","dn"}; |
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331 %! for i=1:3 |
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332 %! subplot (1,3,i); |
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333 %! plot (m, data{i}); |
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334 %! title (dname{i}); |
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335 %! grid on; |
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336 %! endfor |
16584
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337 */ |
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338 |
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339 /* |
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340 ## tests taken from inst/test_sncndn.m |
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341 |
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342 %!test |
28915
c40a367a84c0
maint: Use Octave convention of space after function name in libinterp/.
Rik <rik@octave.org>
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28888
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343 %! k = (tan (pi/8))^2; m = k*k; |
16586
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Style fixes for ellipj.cc, ellipke.m, and expint.m
Mike Miller <mtmiller@ieee.org>
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16585
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344 %! SN = [ |
16584
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345 %! -1. + I * 0. , -0.8392965923 + 0. * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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346 %! -1. + I * 0.2 , -0.8559363407 + 0.108250955 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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347 %! -1. + I * 0.4 , -0.906529758 + 0.2204040232 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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348 %! -1. + I * 0.6 , -0.9931306727 + 0.3403783409 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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349 %! -1. + I * 0.8 , -1.119268095 + 0.4720784944 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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350 %! -1. + I * 1. , -1.29010951 + 0.6192468708 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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351 %! -1. + I * 1.2 , -1.512691987 + 0.7850890595 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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352 %! -1. + I * 1.4 , -1.796200374 + 0.9714821804 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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353 %! -1. + I * 1.6 , -2.152201882 + 1.177446413 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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354 %! -1. + I * 1.8 , -2.594547417 + 1.396378892 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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355 %! -1. + I * 2. , -3.138145339 + 1.611394819 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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356 %! -0.8 + I * 0. , -0.7158157937 + 0. * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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357 %! -0.8 + I * 0.2 , -0.7301746722 + 0.1394690862 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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358 %! -0.8 + I * 0.4 , -0.7738940898 + 0.2841710966 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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359 %! -0.8 + I * 0.6 , -0.8489542135 + 0.4394411376 * I |
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360 %! -0.8 + I * 0.8 , -0.9588386397 + 0.6107824358 * I |
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361 %! -0.8 + I * 1. , -1.108848724 + 0.8038415767 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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362 %! -0.8 + I * 1.2 , -1.306629972 + 1.024193359 * I |
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363 %! -0.8 + I * 1.4 , -1.563010199 + 1.276740951 * I |
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364 %! -0.8 + I * 1.6 , -1.893274688 + 1.564345558 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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365 %! -0.8 + I * 1.8 , -2.318944084 + 1.88491973 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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366 %! -0.8 + I * 2. , -2.869716809 + 2.225506523 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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367 %! -0.6 + I * 0. , -0.5638287208 + 0. * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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368 %! -0.6 + I * 0.2 , -0.5752723012 + 0.1654722474 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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369 %! -0.6 + I * 0.4 , -0.610164314 + 0.3374004736 * I |
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370 %! -0.6 + I * 0.6 , -0.6702507087 + 0.5224614298 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
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371 %! -0.6 + I * 0.8 , -0.7586657365 + 0.7277663879 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
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372 %! -0.6 + I * 1. , -0.8803349115 + 0.9610513652 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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373 %! -0.6 + I * 1.2 , -1.042696526 + 1.230800819 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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374 %! -0.6 + I * 1.4 , -1.256964505 + 1.546195843 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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375 %! -0.6 + I * 1.6 , -1.540333527 + 1.916612621 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
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376 %! -0.6 + I * 1.8 , -1.919816065 + 2.349972151 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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377 %! -0.6 + I * 2. , -2.438761841 + 2.848129496 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
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378 %! -0.4 + I * 0. , -0.3891382858 + 0. * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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379 %! -0.4 + I * 0.2 , -0.3971152026 + 0.1850563793 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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380 %! -0.4 + I * 0.4 , -0.4214662882 + 0.3775700801 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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381 %! -0.4 + I * 0.6 , -0.4635087491 + 0.5853434119 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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382 %! -0.4 + I * 0.8 , -0.5256432877 + 0.8168992398 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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diff
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383 %! -0.4 + I * 1. , -0.611733177 + 1.081923504 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
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384 %! -0.4 + I * 1.2 , -0.7278102331 + 1.391822501 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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|
385 %! -0.4 + I * 1.4 , -0.8833807998 + 1.760456461 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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386 %! -0.4 + I * 1.6 , -1.093891878 + 2.205107766 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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387 %! -0.4 + I * 1.8 , -1.385545188 + 2.747638761 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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388 %! -0.4 + I * 2. , -1.805081271 + 3.41525351 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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389 %! -0.2 + I * 0. , -0.1986311721 + 0. * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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390 %! -0.2 + I * 0.2 , -0.2027299916 + 0.1972398665 * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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391 %! -0.2 + I * 0.4 , -0.2152524522 + 0.402598347 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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392 %! -0.2 + I * 0.6 , -0.2369100139 + 0.6246336356 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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393 %! -0.2 + I * 0.8 , -0.2690115146 + 0.8728455227 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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394 %! -0.2 + I * 1. , -0.3136938773 + 1.158323088 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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395 %! -0.2 + I * 1.2 , -0.3743615191 + 1.494672508 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
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396 %! -0.2 + I * 1.4 , -0.4565255082 + 1.899466033 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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397 %! -0.2 + I * 1.6 , -0.5694611346 + 2.39667232 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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398 %! -0.2 + I * 1.8 , -0.7296612675 + 3.020990664 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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399 %! -0.2 + I * 2. , -0.9685726188 + 3.826022536 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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400 %! 0. + I * 0. , 0. + 0. * I |
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Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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401 %! 0. + I * 0.2 , 0. + 0.201376364 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
402 %! 0. + I * 0.4 , 0. + 0.4111029248 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
403 %! 0. + I * 0.6 , 0. + 0.6380048435 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
404 %! 0. + I * 0.8 , 0. + 0.8919321473 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
405 %! 0. + I * 1. , 0. + 1.184486615 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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406 %! 0. + I * 1.2 , 0. + 1.530096023 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
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407 %! 0. + I * 1.4 , 0. + 1.947754612 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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408 %! 0. + I * 1.6 , 0. + 2.464074356 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
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409 %! 0. + I * 1.8 , 0. + 3.119049475 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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410 %! 0. + I * 2. , 0. + 3.97786237 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
411 %! 0.2 + I * 0. , 0.1986311721 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
412 %! 0.2 + I * 0.2 , 0.2027299916 + 0.1972398665 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
413 %! 0.2 + I * 0.4 , 0.2152524522 + 0.402598347 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
414 %! 0.2 + I * 0.6 , 0.2369100139 + 0.6246336356 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
415 %! 0.2 + I * 0.8 , 0.2690115146 + 0.8728455227 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
416 %! 0.2 + I * 1. , 0.3136938773 + 1.158323088 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
417 %! 0.2 + I * 1.2 , 0.3743615191 + 1.494672508 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
418 %! 0.2 + I * 1.4 , 0.4565255082 + 1.899466033 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
419 %! 0.2 + I * 1.6 , 0.5694611346 + 2.39667232 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
420 %! 0.2 + I * 1.8 , 0.7296612675 + 3.020990664 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
421 %! 0.2 + I * 2. , 0.9685726188 + 3.826022536 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
422 %! 0.4 + I * 0. , 0.3891382858 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
423 %! 0.4 + I * 0.2 , 0.3971152026 + 0.1850563793 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
424 %! 0.4 + I * 0.4 , 0.4214662882 + 0.3775700801 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
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|
425 %! 0.4 + I * 0.6 , 0.4635087491 + 0.5853434119 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
426 %! 0.4 + I * 0.8 , 0.5256432877 + 0.8168992398 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
427 %! 0.4 + I * 1. , 0.611733177 + 1.081923504 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
428 %! 0.4 + I * 1.2 , 0.7278102331 + 1.391822501 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
429 %! 0.4 + I * 1.4 , 0.8833807998 + 1.760456461 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
430 %! 0.4 + I * 1.6 , 1.093891878 + 2.205107766 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
431 %! 0.4 + I * 1.8 , 1.385545188 + 2.747638761 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
432 %! 0.4 + I * 2. , 1.805081271 + 3.41525351 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
433 %! 0.6 + I * 0. , 0.5638287208 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
434 %! 0.6 + I * 0.2 , 0.5752723012 + 0.1654722474 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
435 %! 0.6 + I * 0.4 , 0.610164314 + 0.3374004736 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
436 %! 0.6 + I * 0.6 , 0.6702507087 + 0.5224614298 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
437 %! 0.6 + I * 0.8 , 0.7586657365 + 0.7277663879 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
438 %! 0.6 + I * 1. , 0.8803349115 + 0.9610513652 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
439 %! 0.6 + I * 1.2 , 1.042696526 + 1.230800819 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
440 %! 0.6 + I * 1.4 , 1.256964505 + 1.546195843 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
441 %! 0.6 + I * 1.6 , 1.540333527 + 1.916612621 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
442 %! 0.6 + I * 1.8 , 1.919816065 + 2.349972151 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
443 %! 0.6 + I * 2. , 2.438761841 + 2.848129496 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
444 %! 0.8 + I * 0. , 0.7158157937 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
445 %! 0.8 + I * 0.2 , 0.7301746722 + 0.1394690862 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
446 %! 0.8 + I * 0.4 , 0.7738940898 + 0.2841710966 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
447 %! 0.8 + I * 0.6 , 0.8489542135 + 0.4394411376 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
448 %! 0.8 + I * 0.8 , 0.9588386397 + 0.6107824358 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
449 %! 0.8 + I * 1. , 1.108848724 + 0.8038415767 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
450 %! 0.8 + I * 1.2 , 1.306629972 + 1.024193359 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
451 %! 0.8 + I * 1.4 , 1.563010199 + 1.276740951 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
452 %! 0.8 + I * 1.6 , 1.893274688 + 1.564345558 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
453 %! 0.8 + I * 1.8 , 2.318944084 + 1.88491973 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
454 %! 0.8 + I * 2. , 2.869716809 + 2.225506523 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
455 %! 1. + I * 0. , 0.8392965923 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
456 %! 1. + I * 0.2 , 0.8559363407 + 0.108250955 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
457 %! 1. + I * 0.4 , 0.906529758 + 0.2204040232 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
458 %! 1. + I * 0.6 , 0.9931306727 + 0.3403783409 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
459 %! 1. + I * 0.8 , 1.119268095 + 0.4720784944 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
460 %! 1. + I * 1. , 1.29010951 + 0.6192468708 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
461 %! 1. + I * 1.2 , 1.512691987 + 0.7850890595 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
462 %! 1. + I * 1.4 , 1.796200374 + 0.9714821804 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
463 %! 1. + I * 1.6 , 2.152201882 + 1.177446413 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
464 %! 1. + I * 1.8 , 2.594547417 + 1.396378892 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
465 %! 1. + I * 2. , 3.138145339 + 1.611394819 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
466 %! ]; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
467 %! CN = [ |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
468 %! -1. + I * 0. , 0.5436738271 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
469 %! -1. + I * 0.2 , 0.5541219664 + 0.1672121517 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
470 %! -1. + I * 0.4 , 0.5857703552 + 0.3410940893 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
471 %! -1. + I * 0.6 , 0.6395034233 + 0.5285979063 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
472 %! -1. + I * 0.8 , 0.716688504 + 0.7372552987 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
473 %! -1. + I * 1. , 0.8189576795 + 0.9755037374 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
474 %! -1. + I * 1.2 , 0.9477661951 + 1.253049471 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
475 %! -1. + I * 1.4 , 1.103540657 + 1.581252712 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
476 %! -1. + I * 1.6 , 1.284098214 + 1.973449038 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
477 %! -1. + I * 1.8 , 1.481835651 + 2.4449211 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
478 %! -1. + I * 2. , 1.679032464 + 3.011729224 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
479 %! -0.8 + I * 0. , 0.6982891589 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
480 %! -0.8 + I * 0.2 , 0.71187169 + 0.1430549855 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
481 %! -0.8 + I * 0.4 , 0.7530744458 + 0.2920273465 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
482 %! -0.8 + I * 0.6 , 0.8232501212 + 0.4531616768 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
483 %! -0.8 + I * 0.8 , 0.9245978896 + 0.6334016187 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
484 %! -0.8 + I * 1. , 1.060030206 + 0.8408616109 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
485 %! -0.8 + I * 1.2 , 1.232861756 + 1.085475913 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
486 %! -0.8 + I * 1.4 , 1.446126965 + 1.379933558 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
487 %! -0.8 + I * 1.6 , 1.701139468 + 1.741030588 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
488 %! -0.8 + I * 1.8 , 1.994526268 + 2.191509596 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
489 %! -0.8 + I * 2. , 2.312257188 + 2.762051518 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
490 %! -0.6 + I * 0. , 0.8258917445 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
491 %! -0.6 + I * 0.2 , 0.842151698 + 0.1130337928 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
492 %! -0.6 + I * 0.4 , 0.8915487431 + 0.2309124769 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
493 %! -0.6 + I * 0.6 , 0.975948103 + 0.3588102098 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
494 %! -0.6 + I * 0.8 , 1.098499209 + 0.5026234141 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
495 %! -0.6 + I * 1. , 1.263676101 + 0.6695125973 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
496 %! -0.6 + I * 1.2 , 1.477275851 + 0.8687285705 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
497 %! -0.6 + I * 1.4 , 1.746262523 + 1.112955966 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
498 %! -0.6 + I * 1.6 , 2.078179075 + 1.420581466 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
499 %! -0.6 + I * 1.8 , 2.479425208 + 1.819580713 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
500 %! -0.6 + I * 2. , 2.950586798 + 2.354077344 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
501 %! -0.4 + I * 0. , 0.9211793498 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
502 %! -0.4 + I * 0.2 , 0.9395019377 + 0.07822091534 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
503 %! -0.4 + I * 0.4 , 0.9952345231 + 0.1598950363 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
504 %! -0.4 + I * 0.6 , 1.090715991 + 0.2487465067 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
505 %! -0.4 + I * 0.8 , 1.229998843 + 0.34910407 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
506 %! -0.4 + I * 1. , 1.419103868 + 0.4663848201 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
507 %! -0.4 + I * 1.2 , 1.666426377 + 0.607877235 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
508 %! -0.4 + I * 1.4 , 1.983347336 + 0.7841054404 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
509 %! -0.4 + I * 1.6 , 2.385101684 + 1.01134031 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
510 %! -0.4 + I * 1.8 , 2.89185416 + 1.316448705 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
511 %! -0.4 + I * 2. , 3.529393374 + 1.74670531 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
512 %! -0.2 + I * 0. , 0.9800743122 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
513 %! -0.2 + I * 0.2 , 0.9997019476 + 0.03999835809 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
514 %! -0.2 + I * 0.4 , 1.059453907 + 0.08179712295 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
515 %! -0.2 + I * 0.6 , 1.16200643 + 0.1273503824 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
516 %! -0.2 + I * 0.8 , 1.312066413 + 0.1789585449 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
517 %! -0.2 + I * 1. , 1.516804331 + 0.2395555269 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
518 %! -0.2 + I * 1.2 , 1.786613221 + 0.313189147 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
519 %! -0.2 + I * 1.4 , 2.136422971 + 0.405890925 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
520 %! -0.2 + I * 1.6 , 2.588021972 + 0.527357091 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
521 %! -0.2 + I * 1.8 , 3.174302819 + 0.6944201617 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
522 %! -0.2 + I * 2. , 3.947361147 + 0.9387994989 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
523 %! 0. + I * 0. , 1. + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
524 %! 0. + I * 0.2 , 1.020074723 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
525 %! 0. + I * 0.4 , 1.08120563 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
526 %! 0. + I * 0.6 , 1.18619146 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
527 %! 0. + I * 0.8 , 1.339978715 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
528 %! 0. + I * 1. , 1.550164037 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
529 %! 0. + I * 1.2 , 1.827893279 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
530 %! 0. + I * 1.4 , 2.189462954 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
531 %! 0. + I * 1.6 , 2.659259752 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
532 %! 0. + I * 1.8 , 3.275434266 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
533 %! 0. + I * 2. , 4.101632484 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
534 %! 0.2 + I * 0. , 0.9800743122 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
535 %! 0.2 + I * 0.2 , 0.9997019476 - 0.03999835809 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
536 %! 0.2 + I * 0.4 , 1.059453907 - 0.08179712295 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
537 %! 0.2 + I * 0.6 , 1.16200643 - 0.1273503824 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
538 %! 0.2 + I * 0.8 , 1.312066413 - 0.1789585449 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
539 %! 0.2 + I * 1. , 1.516804331 - 0.2395555269 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
540 %! 0.2 + I * 1.2 , 1.786613221 - 0.313189147 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
541 %! 0.2 + I * 1.4 , 2.136422971 - 0.405890925 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
542 %! 0.2 + I * 1.6 , 2.588021972 - 0.527357091 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
543 %! 0.2 + I * 1.8 , 3.174302819 - 0.6944201617 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
544 %! 0.2 + I * 2. , 3.947361147 - 0.9387994989 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
545 %! 0.4 + I * 0. , 0.9211793498 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
546 %! 0.4 + I * 0.2 , 0.9395019377 - 0.07822091534 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
547 %! 0.4 + I * 0.4 , 0.9952345231 - 0.1598950363 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
548 %! 0.4 + I * 0.6 , 1.090715991 - 0.2487465067 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
549 %! 0.4 + I * 0.8 , 1.229998843 - 0.34910407 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
550 %! 0.4 + I * 1. , 1.419103868 - 0.4663848201 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
551 %! 0.4 + I * 1.2 , 1.666426377 - 0.607877235 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
552 %! 0.4 + I * 1.4 , 1.983347336 - 0.7841054404 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
553 %! 0.4 + I * 1.6 , 2.385101684 - 1.01134031 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
554 %! 0.4 + I * 1.8 , 2.89185416 - 1.316448705 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
555 %! 0.4 + I * 2. , 3.529393374 - 1.74670531 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
556 %! 0.6 + I * 0. , 0.8258917445 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
557 %! 0.6 + I * 0.2 , 0.842151698 - 0.1130337928 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
558 %! 0.6 + I * 0.4 , 0.8915487431 - 0.2309124769 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
559 %! 0.6 + I * 0.6 , 0.975948103 - 0.3588102098 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
560 %! 0.6 + I * 0.8 , 1.098499209 - 0.5026234141 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
561 %! 0.6 + I * 1. , 1.263676101 - 0.6695125973 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
562 %! 0.6 + I * 1.2 , 1.477275851 - 0.8687285705 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
563 %! 0.6 + I * 1.4 , 1.746262523 - 1.112955966 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
564 %! 0.6 + I * 1.6 , 2.078179075 - 1.420581466 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
565 %! 0.6 + I * 1.8 , 2.479425208 - 1.819580713 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
566 %! 0.6 + I * 2. , 2.950586798 - 2.354077344 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
567 %! 0.8 + I * 0. , 0.6982891589 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
568 %! 0.8 + I * 0.2 , 0.71187169 - 0.1430549855 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
569 %! 0.8 + I * 0.4 , 0.7530744458 - 0.2920273465 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
570 %! 0.8 + I * 0.6 , 0.8232501212 - 0.4531616768 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
571 %! 0.8 + I * 0.8 , 0.9245978896 - 0.6334016187 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
572 %! 0.8 + I * 1. , 1.060030206 - 0.8408616109 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
573 %! 0.8 + I * 1.2 , 1.232861756 - 1.085475913 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
574 %! 0.8 + I * 1.4 , 1.446126965 - 1.379933558 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
575 %! 0.8 + I * 1.6 , 1.701139468 - 1.741030588 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
576 %! 0.8 + I * 1.8 , 1.994526268 - 2.191509596 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
577 %! 0.8 + I * 2. , 2.312257188 - 2.762051518 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
578 %! 1. + I * 0. , 0.5436738271 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
579 %! 1. + I * 0.2 , 0.5541219664 - 0.1672121517 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
580 %! 1. + I * 0.4 , 0.5857703552 - 0.3410940893 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
581 %! 1. + I * 0.6 , 0.6395034233 - 0.5285979063 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
582 %! 1. + I * 0.8 , 0.716688504 - 0.7372552987 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
583 %! 1. + I * 1. , 0.8189576795 - 0.9755037374 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
584 %! 1. + I * 1.2 , 0.9477661951 - 1.253049471 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
585 %! 1. + I * 1.4 , 1.103540657 - 1.581252712 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
586 %! 1. + I * 1.6 , 1.284098214 - 1.973449038 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
587 %! 1. + I * 1.8 , 1.481835651 - 2.4449211 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
588 %! 1. + I * 2. , 1.679032464 - 3.011729224 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
589 %! ]; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
590 %! DN = [ |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
591 %! -1. + I * 0. , 0.9895776106 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
592 %! -1. + I * 0.2 , 0.9893361555 + 0.002756935338 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
593 %! -1. + I * 0.4 , 0.9885716856 + 0.005949639805 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
594 %! -1. + I * 0.6 , 0.9871564855 + 0.01008044183 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
595 %! -1. + I * 0.8 , 0.9848512162 + 0.01579337596 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
596 %! -1. + I * 1. , 0.9812582484 + 0.02396648455 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
597 %! -1. + I * 1.2 , 0.9757399152 + 0.0358288294 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
598 %! -1. + I * 1.4 , 0.9672786056 + 0.0531049859 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
599 %! -1. + I * 1.6 , 0.954237868 + 0.0781744383 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
600 %! -1. + I * 1.8 , 0.933957524 + 0.1141918269 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
601 %! -1. + I * 2. , 0.9020917489 + 0.1650142936 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
602 %! -0.8 + I * 0. , 0.992429635 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
603 %! -0.8 + I * 0.2 , 0.9924147861 + 0.003020708044 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
604 %! -0.8 + I * 0.4 , 0.99236555 + 0.00652359532 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
605 %! -0.8 + I * 0.6 , 0.9922655715 + 0.0110676219 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
606 %! -0.8 + I * 0.8 , 0.9920785856 + 0.01737733806 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
607 %! -0.8 + I * 1. , 0.9917291795 + 0.02645738598 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
608 %! -0.8 + I * 1.2 , 0.9910606387 + 0.03974949378 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
609 %! -0.8 + I * 1.4 , 0.9897435004 + 0.05935252515 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
610 %! -0.8 + I * 1.6 , 0.987077644 + 0.08832675281 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
611 %! -0.8 + I * 1.8 , 0.9815667458 + 0.1310872821 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
612 %! -0.8 + I * 2. , 0.970020127 + 0.1938136793 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
613 %! -0.6 + I * 0. , 0.9953099088 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
614 %! -0.6 + I * 0.2 , 0.995526009 + 0.002814772354 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
615 %! -0.6 + I * 0.4 , 0.9962071136 + 0.006083312292 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
616 %! -0.6 + I * 0.6 , 0.9974557125 + 0.01033463525 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
617 %! -0.6 + I * 0.8 , 0.9994560563 + 0.01626207722 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
618 %! -0.6 + I * 1. , 1.00249312 + 0.02484336286 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
619 %! -0.6 + I * 1.2 , 1.006973922 + 0.0375167093 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
620 %! -0.6 + I * 1.4 , 1.013436509 + 0.05645315628 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
621 %! -0.6 + I * 1.6 , 1.022504295 + 0.08499262247 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
622 %! -0.6 + I * 1.8 , 1.034670023 + 0.1283564595 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
623 %! -0.6 + I * 2. , 1.049599899 + 0.194806122 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
624 %! -0.4 + I * 0. , 0.9977686897 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
625 %! -0.4 + I * 0.2 , 0.9981836165 + 0.002167241934 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
626 %! -0.4 + I * 0.4 , 0.9994946045 + 0.004686808612 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
627 %! -0.4 + I * 0.6 , 1.001910789 + 0.00797144174 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
628 %! -0.4 + I * 0.8 , 1.005817375 + 0.01256717724 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
629 %! -0.4 + I * 1. , 1.011836374 + 0.01925509038 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
630 %! -0.4 + I * 1.2 , 1.020923572 + 0.02920828367 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
631 %! -0.4 + I * 1.4 , 1.034513743 + 0.04425213602 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
632 %! -0.4 + I * 1.6 , 1.054725746 + 0.06732276244 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
633 %! -0.4 + I * 1.8 , 1.08462027 + 0.1033236812 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
634 %! -0.4 + I * 2. , 1.128407402 + 0.1608240664 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
635 %! -0.2 + I * 0. , 0.9994191176 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
636 %! -0.2 + I * 0.2 , 0.9999683719 + 0.001177128019 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
637 %! -0.2 + I * 0.4 , 1.001705496 + 0.00254669712 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
638 %! -0.2 + I * 0.6 , 1.004913944 + 0.004334880912 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
639 %! -0.2 + I * 0.8 , 1.010120575 + 0.006842775622 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
640 %! -0.2 + I * 1. , 1.018189543 + 0.01050520136 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
641 %! -0.2 + I * 1.2 , 1.030482479 + 0.01598431001 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
642 %! -0.2 + I * 1.4 , 1.049126108 + 0.02433134655 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
643 %! -0.2 + I * 1.6 , 1.077466003 + 0.0372877718 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
644 %! -0.2 + I * 1.8 , 1.120863308 + 0.05789156398 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
645 %! -0.2 + I * 2. , 1.188162088 + 0.09181238708 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
646 %! 0. + I * 0. , 1. + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
647 %! 0. + I * 0.2 , 1.000596698 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
648 %! 0. + I * 0.4 , 1.002484444 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
649 %! 0. + I * 0.6 , 1.005973379 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
650 %! 0. + I * 0.8 , 1.011641536 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
651 %! 0. + I * 1. , 1.020441432 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
652 %! 0. + I * 1.2 , 1.033885057 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
653 %! 0. + I * 1.4 , 1.054361188 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
654 %! 0. + I * 1.6 , 1.085694733 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
655 %! 0. + I * 1.8 , 1.134186672 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
656 %! 0. + I * 2. , 1.210701071 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
657 %! 0.2 + I * 0. , 0.9994191176 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
658 %! 0.2 + I * 0.2 , 0.9999683719 - 0.001177128019 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
659 %! 0.2 + I * 0.4 , 1.001705496 - 0.00254669712 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
660 %! 0.2 + I * 0.6 , 1.004913944 - 0.004334880912 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
661 %! 0.2 + I * 0.8 , 1.010120575 - 0.006842775622 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
662 %! 0.2 + I * 1. , 1.018189543 - 0.01050520136 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
663 %! 0.2 + I * 1.2 , 1.030482479 - 0.01598431001 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
664 %! 0.2 + I * 1.4 , 1.049126108 - 0.02433134655 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
665 %! 0.2 + I * 1.6 , 1.077466003 - 0.0372877718 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
666 %! 0.2 + I * 1.8 , 1.120863308 - 0.05789156398 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
667 %! 0.2 + I * 2. , 1.188162088 - 0.09181238708 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
668 %! 0.4 + I * 0. , 0.9977686897 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
669 %! 0.4 + I * 0.2 , 0.9981836165 - 0.002167241934 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
670 %! 0.4 + I * 0.4 , 0.9994946045 - 0.004686808612 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
671 %! 0.4 + I * 0.6 , 1.001910789 - 0.00797144174 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
672 %! 0.4 + I * 0.8 , 1.005817375 - 0.01256717724 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
673 %! 0.4 + I * 1. , 1.011836374 - 0.01925509038 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
674 %! 0.4 + I * 1.2 , 1.020923572 - 0.02920828367 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
675 %! 0.4 + I * 1.4 , 1.034513743 - 0.04425213602 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
676 %! 0.4 + I * 1.6 , 1.054725746 - 0.06732276244 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
677 %! 0.4 + I * 1.8 , 1.08462027 - 0.1033236812 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
678 %! 0.4 + I * 2. , 1.128407402 - 0.1608240664 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
679 %! 0.6 + I * 0. , 0.9953099088 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
680 %! 0.6 + I * 0.2 , 0.995526009 - 0.002814772354 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
681 %! 0.6 + I * 0.4 , 0.9962071136 - 0.006083312292 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
682 %! 0.6 + I * 0.6 , 0.9974557125 - 0.01033463525 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
683 %! 0.6 + I * 0.8 , 0.9994560563 - 0.01626207722 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
684 %! 0.6 + I * 1. , 1.00249312 - 0.02484336286 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
685 %! 0.6 + I * 1.2 , 1.006973922 - 0.0375167093 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
686 %! 0.6 + I * 1.4 , 1.013436509 - 0.05645315628 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
687 %! 0.6 + I * 1.6 , 1.022504295 - 0.08499262247 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
688 %! 0.6 + I * 1.8 , 1.034670023 - 0.1283564595 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
689 %! 0.6 + I * 2. , 1.049599899 - 0.194806122 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
690 %! 0.8 + I * 0. , 0.992429635 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
691 %! 0.8 + I * 0.2 , 0.9924147861 - 0.003020708044 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
692 %! 0.8 + I * 0.4 , 0.99236555 - 0.00652359532 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
693 %! 0.8 + I * 0.6 , 0.9922655715 - 0.0110676219 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
694 %! 0.8 + I * 0.8 , 0.9920785856 - 0.01737733806 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
695 %! 0.8 + I * 1. , 0.9917291795 - 0.02645738598 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
696 %! 0.8 + I * 1.2 , 0.9910606387 - 0.03974949378 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
697 %! 0.8 + I * 1.4 , 0.9897435004 - 0.05935252515 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
698 %! 0.8 + I * 1.6 , 0.987077644 - 0.08832675281 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
699 %! 0.8 + I * 1.8 , 0.9815667458 - 0.1310872821 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
700 %! 0.8 + I * 2. , 0.970020127 - 0.1938136793 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
701 %! 1. + I * 0. , 0.9895776106 + 0. * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
702 %! 1. + I * 0.2 , 0.9893361555 - 0.002756935338 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
703 %! 1. + I * 0.4 , 0.9885716856 - 0.005949639805 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
704 %! 1. + I * 0.6 , 0.9871564855 - 0.01008044183 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
705 %! 1. + I * 0.8 , 0.9848512162 - 0.01579337596 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
706 %! 1. + I * 1. , 0.9812582484 - 0.02396648455 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
707 %! 1. + I * 1.2 , 0.9757399152 - 0.0358288294 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
708 %! 1. + I * 1.4 , 0.9672786056 - 0.0531049859 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
709 %! 1. + I * 1.6 , 0.954237868 - 0.0781744383 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
710 %! 1. + I * 1.8 , 0.933957524 - 0.1141918269 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
711 %! 1. + I * 2. , 0.9020917489 - 0.1650142936 * I |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
712 %! ]; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
713 %! tol = 1e-9; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
714 %! for x = 0:10 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
715 %! for y = 0:10 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
716 %! ur = -1 + x * 0.2; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
717 %! ui = y * 0.2; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
718 %! ii = 1 + y + x*11; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
719 %! [sn, cn, dn] = ellipj (ur + I * ui, m); |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
720 %! assert (sn, SN(ii, 2), tol); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
721 %! assert (cn, CN(ii, 2), tol); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
722 %! assert (dn, DN(ii, 2), tol); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
723 %! endfor |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
724 %! endfor |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
725 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
726 ## tests taken from test_ellipj.m |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
727 %!test |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
728 %! u1 = pi/3; m1 = 0; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
729 %! res1 = [sin(pi/3), cos(pi/3), 1]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
730 %! [sn,cn,dn] = ellipj (u1,m1); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
731 %! assert ([sn,cn,dn], res1, 10*eps); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
732 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
733 %!test |
28915
c40a367a84c0
maint: Use Octave convention of space after function name in libinterp/.
Rik <rik@octave.org>
parents:
28888
diff
changeset
|
734 %! u2 = log (2); m2 = 1; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
735 %! res2 = [ 3/5, 4/5, 4/5 ]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
736 %! [sn,cn,dn] = ellipj (u2,m2); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
737 %! assert ([sn,cn,dn], res2, 10*eps); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
738 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
739 %!test |
28915
c40a367a84c0
maint: Use Octave convention of space after function name in libinterp/.
Rik <rik@octave.org>
parents:
28888
diff
changeset
|
740 %! u3 = log (2)*1i; m3 = 0; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
741 %! res3 = [3i/4,5/4,1]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
742 %! [sn,cn,dn] = ellipj (u3,m3); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
743 %! assert ([sn,cn,dn], res3, 10*eps); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
744 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
745 %!test |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
746 %! u4 = -1; m4 = tan (pi/8)^4; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
747 %! res4 = [-0.8392965923,0.5436738271,0.9895776106]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
748 %! [sn,cn,dn] = ellipj (u4, m4); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
749 %! assert ([sn,cn,dn], res4, 1e-10); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
750 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
751 %!test |
28915
c40a367a84c0
maint: Use Octave convention of space after function name in libinterp/.
Rik <rik@octave.org>
parents:
28888
diff
changeset
|
752 %! u5 = -0.2 + 0.4i; m5 = tan (pi/8)^4; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
753 %! res5 = [ -0.2152524522 + 0.402598347i, ... |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
754 %! 1.059453907 + 0.08179712295i, ... |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
755 %! 1.001705496 + 0.00254669712i ]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
756 %! [sn,cn,dn] = ellipj (u5,m5); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
757 %! assert ([sn,cn,dn], res5, 1e-9); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
758 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
759 %!test |
28915
c40a367a84c0
maint: Use Octave convention of space after function name in libinterp/.
Rik <rik@octave.org>
parents:
28888
diff
changeset
|
760 %! u6 = 0.2 + 0.6i; m6 = tan (pi/8)^4; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
761 %! res6 = [ 0.2369100139 + 0.624633635i, ... |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
762 %! 1.16200643 - 0.1273503824i, ... |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
763 %! 1.004913944 - 0.004334880912i ]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
764 %! [sn,cn,dn] = ellipj (u6,m6); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
765 %! assert ([sn,cn,dn], res6, 1e-8); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
766 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
767 %!test |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
768 %! u7 = 0.8 + 0.8i; m7 = tan (pi/8)^4; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
769 %! res7 = [0.9588386397 + 0.6107824358i, ... |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
770 %! 0.9245978896 - 0.6334016187i, ... |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
771 %! 0.9920785856 - 0.01737733806i ]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
772 %! [sn,cn,dn] = ellipj (u7,m7); |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
773 %! assert ([sn,cn,dn], res7, 1e-10); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
774 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
775 %!test |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
776 %! u = [0,pi/6,pi/4,pi/2]; m=0; |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
777 %! res = [0,1/2,1/sqrt(2),1;1,cos(pi/6),1/sqrt(2),0;1,1,1,1]; |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
778 %! [sn,cn,dn] = ellipj (u,m); |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
779 %! assert ([sn;cn;dn], res, 100*eps); |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
780 %! [sn,cn,dn] = ellipj (u',0); |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
781 %! assert ([sn,cn,dn], res', 100*eps); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
782 |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
783 ## FIXME: need to check [real,complex]x[scalar,rowvec,colvec,matrix]x[u,m] |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
784 |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
785 ## One test for u column vector x m row vector |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
786 %!test |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
787 %! u = [0,pi/6,pi/4,pi/2]'; m = [0 0 0 0]; |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
788 %! res = [0,1/2,1/sqrt(2),1;1,cos(pi/6),1/sqrt(2),0;1,1,1,1]'; |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
789 %! [sn,cn,dn] = ellipj (u,m); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
790 %! assert (sn, repmat (res(:,1), [1,4]), 100*eps); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
791 %! assert (cn, repmat (res(:,2), [1,4]), 100*eps); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
792 %! assert (dn, repmat (res(:,3), [1,4]), 100*eps); |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
793 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
794 %!test |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
795 %! ## Test Jacobi elliptic functions |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
796 %! ## against "exact" solution from Mathematica 3.0 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
797 %! ## David Billinghurst <David.Billinghurst@riotinto.com> |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
798 %! ## 1 February 2001 |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
799 %! u = [ 0.25; 0.25; 0.20; 0.20; 0.672; 0.5]; |
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
800 %! m = [ 0.0; 1.0; 0.19; 0.81; 0.36; 0.9999999999]; |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
801 %! S = [ sin(0.25); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
802 %! tanh(0.25); |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
803 %! 0.19842311013970879516; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
804 %! 0.19762082367187648571; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
805 %! 0.6095196917919021945; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
806 %! 0.4621171572617320908 ]; |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
807 %! C = [ cos(0.25); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
808 %! sech(0.25); |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
809 %! 0.9801164570409401062; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
810 %! 0.9802785369736752032; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
811 %! 0.7927709286533560550; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
812 %! 0.8868188839691764094 ]; |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
813 %! D = [ 1.0; |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
814 %! sech(0.25); |
17308
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
815 %! 0.9962526643271134302; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
816 %! 0.9840560289645665155; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
817 %! 0.9307281387786906491; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
818 %! 0.8868188839812167635 ]; |
5a6caf617f56
ellipj.cc: Use Octave coding conventions for %!demos and %!tests.
Rik <rik@octave.org>
parents:
16816
diff
changeset
|
819 %! [sn,cn,dn] = ellipj (u,m); |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
820 %! assert (sn, S, 8*eps); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
821 %! assert (cn, C, 8*eps); |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
822 %! assert (dn, D, 8*eps); |
16585
1a3bfb14b5da
Add and fix tests for ellipj, ellipke, and expint
Mike Miller <mtmiller@ieee.org>
parents:
16584
diff
changeset
|
823 |
23573
1b4f4ec53b4a
use new script to tag fixed bugs in tests
John W. Eaton <jwe@octave.org>
parents:
23572
diff
changeset
|
824 %!test <*43344> |
22489
93ea313301f9
test: Add bug ids (<#####>) to BIST tests.
Rik <rik@octave.org>
parents:
22323
diff
changeset
|
825 %! ## Test continuity of dn when cn is near zero |
19200
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
826 %! m = 0.5; |
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
827 %! u = ellipke (0.5); |
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
828 %! x = [-1e-3, -1e-12, 0, 1e-12, 1e-3]; |
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
829 %! [~, ~, dn] = ellipj (u + x, m); |
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
830 %! D = 1/sqrt (2) * ones (size (x)); |
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
831 %! assert (dn, D, 1e-6); |
068a3e51b7b8
ellipj: Fix continuity of dn output when cn is near zero (bug #43344)
Mike Miller <mtmiller@ieee.org>
parents:
19040
diff
changeset
|
832 |
16585
1a3bfb14b5da
Add and fix tests for ellipj, ellipke, and expint
Mike Miller <mtmiller@ieee.org>
parents:
16584
diff
changeset
|
833 %!error ellipj () |
1a3bfb14b5da
Add and fix tests for ellipj, ellipke, and expint
Mike Miller <mtmiller@ieee.org>
parents:
16584
diff
changeset
|
834 %!error ellipj (1) |
1a3bfb14b5da
Add and fix tests for ellipj, ellipke, and expint
Mike Miller <mtmiller@ieee.org>
parents:
16584
diff
changeset
|
835 %!error ellipj (1,2,3,4) |
20711
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
836 %!warning <required value 0 <= M <= 1> ellipj (1,2); |
21581
6fab85c1538f
maint: Follow Octave conventions for use of semicolon in BIST tests.
Rik <rik@octave.org>
parents:
21301
diff
changeset
|
837 ## FIXME: errors commented out until lasterr() truly returns the last error. |
20711
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
838 %!#error <M must be a scalar or matrix> ellipj (1, "1") |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
839 %!#error <U must be a scalar or matrix> ellipj ("1", 1) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
840 %!#error <U must be a scalar or matrix> ellipj ({1}, 1) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
841 %!#error <U must be a scalar or matrix> ellipj ({1, 2}, 1) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
842 %!#error <M must be a scalar or matrix> ellipj (1, {1, 2}) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
843 %!#error <U must be a scalar or matrix> ellipj ("1", [1, 2]) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
844 %!#error <U must be a scalar or matrix> ellipj ({1}, [1, 2]) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
845 %!#error <U must be a scalar or matrix> ellipj ({1}, [1, 2]) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
846 %!#error <U must be a scalar or matrix> ellipj ("1,2", [1, 2]) |
7b608fadc663
Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents:
20704
diff
changeset
|
847 %!#error <U must be a scalar or matrix> ellipj ({1, 2}, [1, 2]) |
17374
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
848 %!error <Invalid size combination for U and M> ellipj ([1:4], [1:3]) |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
849 %!error <Invalid size combination for U and M> ellipj (complex (1:4,1:4), [1:3]) |
991c7c812e38
Overhaul ellipj function to support NDArrays (bug #38874).
Rik <rik@octave.org>
parents:
17370
diff
changeset
|
850 |
16584
2f766ceeb03e
Add ellipj, ellipke, and expint functions from Octave Forge
Mike Miller <mtmiller@ieee.org>
parents:
diff
changeset
|
851 */ |
29958
32c3a5805893
move DEFUN and DEFMETHOD functions inside octave namespace
John W. Eaton <jwe@octave.org>
parents:
29359
diff
changeset
|
852 |
31605
e88a07dec498
maint: Use macros to begin/end C++ namespaces.
Rik <rik@octave.org>
parents:
30564
diff
changeset
|
853 OCTAVE_END_NAMESPACE(octave) |