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annotate libinterp/corefcn/besselj.cc @ 21547:ad0599a0acc6

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doc: Wrap C++ docstrings to 79 characters + newline (80 total). * besselj.cc, bitfcns.cc, cellfun.cc, data.cc, debug.cc, error.cc, file-io.cc, graphics.cc, input.cc, lu.cc, matrix_type.cc, nproc.cc, pr-output.cc, quadcc.cc, regexp.cc, schur.cc, sparse.cc, strfind.cc, strfns.cc, syscalls.cc, urlwrite.cc, variables.cc, __osmesa_print__.cc, audiodevinfo.cc, audioread.cc, ccolamd.cc, chol.cc, colamd.cc, convhulln.cc, qr.cc, symbfact.cc, ov-java.cc, ov-struct.cc, ov-usr-fcn.cc, pt-arg-list.cc: doc: Wrap C++ docstrings to 79 characters + newline (80 total).
author Rik <rik@octave.org>
date Sun, 27 Mar 2016 20:39:19 -0700
parents 40de9f8f23a6
children aba2e6293dd8
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1997-2015 John W. Eaton
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4
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5 This file is part of Octave.
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6
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7 Octave is free software; you can redistribute it and/or modify it
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8 under the terms of the GNU General Public License as published by the
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9 Free Software Foundation; either version 3 of the License, or (at your
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10 option) any later version.
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11
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12 Octave is distributed in the hope that it will be useful, but WITHOUT
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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15 for more details.
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16
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17 You should have received a copy of the GNU General Public License
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18 along with Octave; see the file COPYING. If not, see
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19 <http://www.gnu.org/licenses/>.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 # include "config.h"
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25 #endif
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26
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27 #include "lo-specfun.h"
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28 #include "quit.h"
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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 "ovl.h"
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33 #include "utils.h"
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34
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35 enum bessel_type
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36 {
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37 BESSEL_J,
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38 BESSEL_Y,
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39 BESSEL_I,
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40 BESSEL_K,
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41 BESSEL_H1,
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42 BESSEL_H2
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43 };
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44
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45 #define DO_BESSEL(type, alpha, x, scaled, ierr, result) \
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46 do \
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47 { \
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48 switch (type) \
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49 { \
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50 case BESSEL_J: \
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51 result = besselj (alpha, x, scaled, ierr); \
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52 break; \
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53 \
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54 case BESSEL_Y: \
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55 result = bessely (alpha, x, scaled, ierr); \
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56 break; \
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57 \
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58 case BESSEL_I: \
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59 result = besseli (alpha, x, scaled, ierr); \
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60 break; \
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61 \
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62 case BESSEL_K: \
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63 result = besselk (alpha, x, scaled, ierr); \
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64 break; \
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65 \
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66 case BESSEL_H1: \
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67 result = besselh1 (alpha, x, scaled, ierr); \
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68 break; \
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69 \
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70 case BESSEL_H2: \
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71 result = besselh2 (alpha, x, scaled, ierr); \
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72 break; \
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73 \
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74 default: \
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75 break; \
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76 } \
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77 } \
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78 while (0)
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79
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80 octave_value_list
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81 do_bessel (enum bessel_type type, const char *fn,
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82 const octave_value_list& args, int nargout)
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83 {
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84 int nargin = args.length ();
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85
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86 if (nargin < 2 || nargin > 3)
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87 print_usage ();
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88
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89 octave_value_list retval (nargout > 1 ? 2 : 1);
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90
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91 bool scaled = false;
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92 if (nargin == 3)
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93 {
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94 octave_value opt_arg = args(2);
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95 bool rpt_error = false;
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96
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97 if (! opt_arg.is_scalar_type ())
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98 rpt_error = true;
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99 else if (opt_arg.is_numeric_type ())
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100 {
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101 double opt_val = opt_arg.double_value ();
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102 if (opt_val != 0.0 && opt_val != 1.0)
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103 rpt_error = true;
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104 scaled = (opt_val == 1.0);
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105 }
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106 else if (opt_arg.is_bool_type ())
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107 scaled = opt_arg.bool_value ();
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108
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109 if (rpt_error)
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110 error ("%s: OPT must be 0 (or false) or 1 (or true)", fn);
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111 }
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112
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113 octave_value alpha_arg = args(0);
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114 octave_value x_arg = args(1);
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115
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116 if (alpha_arg.is_single_type () || x_arg.is_single_type ())
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117 {
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118 if (alpha_arg.is_scalar_type ())
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119 {
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120 float alpha = args(0).xfloat_value ("%s: ALPHA must be a scalar or matrix", fn);
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121
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122 if (x_arg.is_scalar_type ())
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123 {
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124 FloatComplex x = x_arg.xfloat_complex_value ("%s: X must be a scalar or matrix", fn);
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125
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126 octave_idx_type ierr;
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127 octave_value result;
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128
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129 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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130
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131 retval(0) = result;
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132 if (nargout > 1)
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133 retval(1) = static_cast<float> (ierr);
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134 }
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135 else
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136 {
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137 FloatComplexNDArray x
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138 = x_arg.xfloat_complex_array_value ("%s: X must be a scalar or matrix", fn);
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139
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140 Array<octave_idx_type> ierr;
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141 octave_value result;
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142
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143 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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144
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145 retval(0) = result;
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146 if (nargout > 1)
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147 retval(1) = NDArray (ierr);
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148 }
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149 }
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150 else
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151 {
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152 dim_vector dv0 = args(0).dims ();
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153 dim_vector dv1 = args(1).dims ();
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154
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155 bool args0_is_row_vector = (dv0(1) == dv0.numel ());
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156 bool args1_is_col_vector = (dv1(0) == dv1.numel ());
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157
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158 if (args0_is_row_vector && args1_is_col_vector)
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159 {
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160 FloatRowVector ralpha = args(0).xfloat_row_vector_value ("%s: ALPHA must be a scalar or matrix", fn);
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161
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162 FloatComplexColumnVector cx =
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163 x_arg.xfloat_complex_column_vector_value ("%s: X must be a scalar or matrix", fn);
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164
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165 Array<octave_idx_type> ierr;
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166 octave_value result;
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167
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168 DO_BESSEL (type, ralpha, cx, scaled, ierr, result);
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169
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170 retval(0) = result;
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171 if (nargout > 1)
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172 retval(1) = NDArray (ierr);
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173 }
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174 else
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175 {
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176 FloatNDArray alpha = args(0).xfloat_array_value ("%s: ALPHA must be a scalar or matrix", fn);
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177
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178 if (x_arg.is_scalar_type ())
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179 {
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180 FloatComplex x = x_arg.xfloat_complex_value ("%s: X must be a scalar or matrix", fn);
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181
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182 Array<octave_idx_type> ierr;
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183 octave_value result;
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184
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185 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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186
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187 retval(0) = result;
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188 if (nargout > 1)
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189 retval(1) = NDArray (ierr);
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190 }
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191 else
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192 {
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193 FloatComplexNDArray x
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194 = x_arg.xfloat_complex_array_value ("%s: X must be a scalar or matrix", fn);
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195
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196 Array<octave_idx_type> ierr;
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197 octave_value result;
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198
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199 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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200
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201 retval(0) = result;
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202 if (nargout > 1)
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203 retval(1) = NDArray (ierr);
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204 }
10154
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205 }
20803
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206 }
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207 }
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208 else
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209 {
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210 if (alpha_arg.is_scalar_type ())
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211 {
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212 double alpha = args(0).xdouble_value ("%s: ALPHA must be a scalar or matrix", fn);
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213
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214 if (x_arg.is_scalar_type ())
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215 {
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216 Complex x = x_arg.xcomplex_value ("%s: X must be a scalar or matrix", fn);
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217
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218 octave_idx_type ierr;
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219 octave_value result;
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diff changeset
220
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221 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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222
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223 retval(0) = result;
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224 if (nargout > 1)
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225 retval(1) = static_cast<double> (ierr);
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226 }
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227 else
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228 {
20803
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229 ComplexNDArray x = x_arg.xcomplex_array_value ("%s: X must be a scalar or matrix", fn);
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230
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231 Array<octave_idx_type> ierr;
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232 octave_value result;
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233
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234 DO_BESSEL (type, alpha, x, scaled, ierr, result);
11586
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235
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236 retval(0) = result;
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237 if (nargout > 1)
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238 retval(1) = NDArray (ierr);
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239 }
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240 }
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241 else
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242 {
20803
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243 dim_vector dv0 = args(0).dims ();
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244 dim_vector dv1 = args(1).dims ();
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diff changeset
245
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246 bool args0_is_row_vector = (dv0(1) == dv0.numel ());
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247 bool args1_is_col_vector = (dv1(0) == dv1.numel ());
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248
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249 if (args0_is_row_vector && args1_is_col_vector)
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250 {
20803
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251 RowVector ralpha = args(0).xrow_vector_value ("%s: ALPHA must be a scalar or matrix", fn);
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252
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253 ComplexColumnVector cx =
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254 x_arg.xcomplex_column_vector_value ("%s: X must be a scalar or matrix", fn);
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255
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256 Array<octave_idx_type> ierr;
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257 octave_value result;
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258
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259 DO_BESSEL (type, ralpha, cx, scaled, ierr, result);
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260
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261 retval(0) = result;
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262 if (nargout > 1)
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263 retval(1) = NDArray (ierr);
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264 }
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265 else
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266 {
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267 NDArray alpha = args(0).xarray_value ("%s: ALPHA must be a scalar or matrix", fn);
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268
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269 if (x_arg.is_scalar_type ())
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270 {
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271 Complex x = x_arg.xcomplex_value ("%s: X must be a scalar or matrix", fn);
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272
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273 Array<octave_idx_type> ierr;
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274 octave_value result;
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275
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276 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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277
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278 retval(0) = result;
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279 if (nargout > 1)
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280 retval(1) = NDArray (ierr);
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281 }
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282 else
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283 {
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284 ComplexNDArray x = x_arg.xcomplex_array_value ("%s: X must be a scalar or matrix", fn);
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285
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286 Array<octave_idx_type> ierr;
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287 octave_value result;
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288
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289 DO_BESSEL (type, alpha, x, scaled, ierr, result);
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290
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291 retval(0) = result;
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292 if (nargout > 1)
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293 retval(1) = NDArray (ierr);
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294 }
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295 }
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296 }
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297 }
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298
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299 return retval;
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300 }
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301
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302 DEFUN (besselj, args, nargout,
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303 "-*- texinfo -*-\n\
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304 @deftypefn {} {[@var{j}, @var{ierr}] =} besselj (@var{alpha}, @var{x}, @var{opt})\n\
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305 @deftypefnx {} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
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306 @deftypefnx {} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
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307 @deftypefnx {} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
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308 @deftypefnx {} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
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309 Compute Bessel or Hankel functions of various kinds:\n\
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310 \n\
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311 @table @code\n\
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312 @item besselj\n\
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313 Bessel functions of the first kind. If the argument @var{opt} is 1 or true,\n\
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314 the result is multiplied by @w{@code{exp (-abs (imag (@var{x})))}}.\n\
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315 \n\
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316 @item bessely\n\
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317 Bessel functions of the second kind. If the argument @var{opt} is 1 or\n\
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318 true, the result is multiplied by @code{exp (-abs (imag (@var{x})))}.\n\
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319 \n\
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320 @item besseli\n\
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321 \n\
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322 Modified Bessel functions of the first kind. If the argument @var{opt} is 1\n\
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323 or true, the result is multiplied by @code{exp (-abs (real (@var{x})))}.\n\
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324 \n\
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325 @item besselk\n\
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326 \n\
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327 Modified Bessel functions of the second kind. If the argument @var{opt} is\n\
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328 1 or true, the result is multiplied by @code{exp (@var{x})}.\n\
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329 \n\
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330 @item besselh\n\
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331 Compute Hankel functions of the first (@var{k} = 1) or second (@var{k}\n\
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332 = 2) kind. If the argument @var{opt} is 1 or true, the result is multiplied\n\
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333 by @code{exp (-I*@var{x})} for @var{k} = 1 or @code{exp (I*@var{x})} for\n\
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334 @var{k} = 2.\n\
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335 @end table\n\
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336 \n\
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337 If @var{alpha} is a scalar, the result is the same size as @var{x}.\n\
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338 If @var{x} is a scalar, the result is the same size as @var{alpha}.\n\
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339 If @var{alpha} is a row vector and @var{x} is a column vector, the\n\
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340 result is a matrix with @code{length (@var{x})} rows and\n\
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341 @code{length (@var{alpha})} columns. Otherwise, @var{alpha} and\n\
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342 @var{x} must conform and the result will be the same size.\n\
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343 \n\
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344 The value of @var{alpha} must be real. The value of @var{x} may be\n\
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345 complex.\n\
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346 \n\
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347 If requested, @var{ierr} contains the following status information\n\
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348 and is the same size as the result.\n\
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349 \n\
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350 @enumerate 0\n\
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351 @item\n\
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352 Normal return.\n\
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353 \n\
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354 @item\n\
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355 Input error, return @code{NaN}.\n\
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356 \n\
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357 @item\n\
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358 Overflow, return @code{Inf}.\n\
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359 \n\
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360 @item\n\
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361 Loss of significance by argument reduction results in less than\n\
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362 half of machine accuracy.\n\
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363 \n\
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364 @item\n\
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365 Complete loss of significance by argument reduction, return @code{NaN}.\n\
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366 \n\
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367 @item\n\
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368 Error---no computation, algorithm termination condition not met,\n\
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369 return @code{NaN}.\n\
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370 @end enumerate\n\
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371 @end deftypefn")
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372 {
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373 return do_bessel (BESSEL_J, "besselj", args, nargout);
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374 }
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375
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376 /*
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377 %!# Function besselj is tested along with other bessels at the end of this file
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378 */
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379
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380 DEFUN (bessely, args, nargout,
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381 "-*- texinfo -*-\n\
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382 @deftypefn {} {[@var{y}, @var{ierr}] =} bessely (@var{alpha}, @var{x}, @var{opt})\n\
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383 See besselj.\n\
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384 @end deftypefn")
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385 {
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386 return do_bessel (BESSEL_Y, "bessely", args, nargout);
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387 }
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388
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389 /*
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390 %!# Function bessely is tested along with other bessels at the end of this file
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391 */
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392
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393 DEFUN (besseli, args, nargout,
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394 "-*- texinfo -*-\n\
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395 @deftypefn {} {[@var{i}, @var{ierr}] =} besseli (@var{alpha}, @var{x}, @var{opt})\n\
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396 See besselj.\n\
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397 @end deftypefn")
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398 {
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399 return do_bessel (BESSEL_I, "besseli", args, nargout);
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400 }
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401
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402 /*
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403 %!# Function besseli is tested along with other bessels at the end of this file
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404 */
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405
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406 DEFUN (besselk, args, nargout,
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407 "-*- texinfo -*-\n\
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408 @deftypefn {} {[@var{k}, @var{ierr}] =} besselk (@var{alpha}, @var{x}, @var{opt})\n\
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409 See besselj.\n\
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410 @end deftypefn")
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411 {
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412 return do_bessel (BESSEL_K, "besselk", args, nargout);
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413 }
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414
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415 /*
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416 %!# Function besselk is tested along with other bessels at the end of this file
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417 */
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418
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419 DEFUN (besselh, args, nargout,
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420 "-*- texinfo -*-\n\
20853
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20831
diff changeset
421 @deftypefn {} {[@var{h}, @var{ierr}] =} besselh (@var{alpha}, @var{k}, @var{x}, @var{opt})\n\
3459
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parents: 3325
diff changeset
422 See besselj.\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
423 @end deftypefn")
3220
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jwe
parents: 3187
diff changeset
424 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
425 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
426
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
427 if (nargin < 2 || nargin > 4)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
428 print_usage ();
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
429
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
430 octave_value_list retval;
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
431
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
432 if (nargin == 2)
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
433 {
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
434 retval = do_bessel (BESSEL_H1, "besselh", args, nargout);
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
435 }
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
436 else
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
437 {
20703
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
438 octave_idx_type kind = args(1).xint_value ("besselh: invalid value of K");
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
439
20703
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
440 octave_value_list tmp_args;
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
441
20703
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
442 if (nargin == 4)
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
443 tmp_args(2) = args(3);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
444
20703
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
445 tmp_args(1) = args(2);
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
446 tmp_args(0) = args(0);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
447
20703
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
448 if (kind == 1)
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
449 retval = do_bessel (BESSEL_H1, "besselh", tmp_args, nargout);
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
450 else if (kind == 2)
85e5efae848a eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20559
diff changeset
451 retval = do_bessel (BESSEL_H2, "besselh", tmp_args, nargout);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
452 else
20711
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20703
diff changeset
453 error ("besselh: K must be 1 or 2");
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
454 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
455
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
456 return retval;
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
457 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
458
20872
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
459 /*
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
460 %!# Function besselh is tested along with other bessels at the end of this file
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
461 */
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
462
15039
e753177cde93 maint: Move non-dynamically linked functions from DLD-FUNCTIONS/ to corefcn/ directory
Rik <rik@octave.org>
parents: 14854
diff changeset
463 DEFUN (airy, args, nargout,
17787
175b392e91fe Use GNU style coding conventions for code in libinterp/
Rik <rik@octave.org>
parents: 17757
diff changeset
464 "-*- texinfo -*-\n\
20853
1142cf6abc0d 2015 Code Sprint: remove class of function from docstring for all C++ files.
Rik <rik@octave.org>
parents: 20831
diff changeset
465 @deftypefn {} {[@var{a}, @var{ierr}] =} airy (@var{k}, @var{z}, @var{opt})\n\
20172
4f45eaf83908 doc: Update more docstrings to have one sentence summary as first line.
Rik <rik@octave.org>
parents: 20089
diff changeset
466 Compute Airy functions of the first and second kind, and their derivatives.\n\
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
467 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
468 @example\n\
9064
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
469 @group\n\
17757
dae2230227a7 doc: Use double-quote in preference to single quote in code examples.
Rik <rik@octave.org>
parents: 17744
diff changeset
470 K Function Scale factor (if \"opt\" is supplied)\n\
7031
120f3135952f [project @ 2007-10-15 15:30:03 by jwe]
jwe
parents: 7017
diff changeset
471 --- -------- ---------------------------------------\n\
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
472 0 Ai (Z) exp ((2/3) * Z * sqrt (Z))\n\
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
473 1 dAi(Z)/dZ exp ((2/3) * Z * sqrt (Z))\n\
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
474 2 Bi (Z) exp (-abs (real ((2/3) * Z * sqrt (Z))))\n\
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
475 3 dBi(Z)/dZ exp (-abs (real ((2/3) * Z * sqrt (Z))))\n\
9064
7c02ec148a3c Check grammar on all .cc files
Rik <rdrider0-list@yahoo.com>
parents: 8920
diff changeset
476 @end group\n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
477 @end example\n\
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
478 \n\
3549
03025e79d8b9 [project @ 2000-02-03 01:28:24 by jwe]
jwe
parents: 3548
diff changeset
479 The function call @code{airy (@var{z})} is equivalent to\n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
480 @code{airy (0, @var{z})}.\n\
3155
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe]
jwe
parents:
diff changeset
481 \n\
3549
03025e79d8b9 [project @ 2000-02-03 01:28:24 by jwe]
jwe
parents: 3548
diff changeset
482 The result is the same size as @var{z}.\n\
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
483 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
484 If requested, @var{ierr} contains the following status information and\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
485 is the same size as the result.\n\
3548
ab7fa5a8f23f [project @ 2000-02-03 01:17:15 by jwe]
jwe
parents: 3499
diff changeset
486 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
487 @enumerate 0\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
488 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
489 Normal return.\n\
10840
89f4d7e294cc Grammarcheck .cc files
Rik <octave@nomad.inbox5.com>
parents: 10352
diff changeset
490 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
491 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
492 Input error, return @code{NaN}.\n\
10840
89f4d7e294cc Grammarcheck .cc files
Rik <octave@nomad.inbox5.com>
parents: 10352
diff changeset
493 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
494 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
495 Overflow, return @code{Inf}.\n\
10840
89f4d7e294cc Grammarcheck .cc files
Rik <octave@nomad.inbox5.com>
parents: 10352
diff changeset
496 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
497 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
498 Loss of significance by argument reduction results in less than half\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
499 of machine accuracy.\n\
10840
89f4d7e294cc Grammarcheck .cc files
Rik <octave@nomad.inbox5.com>
parents: 10352
diff changeset
500 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
501 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
502 Complete loss of significance by argument reduction, return @code{NaN}.\n\
10840
89f4d7e294cc Grammarcheck .cc files
Rik <octave@nomad.inbox5.com>
parents: 10352
diff changeset
503 \n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
504 @item\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
505 Error---no computation, algorithm termination condition not met,\n\
5448
ebe5d7d15522 [project @ 2005-09-14 18:55:04 by jwe]
jwe
parents: 5307
diff changeset
506 return @code{NaN}.\n\
3459
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
507 @end enumerate\n\
8e36c45e3a61 [project @ 2000-01-19 10:26:18 by jwe]
jwe
parents: 3325
diff changeset
508 @end deftypefn")
3155
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe]
jwe
parents:
diff changeset
509 {
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
510 int nargin = args.length ();
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
511
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
512 if (nargin < 1 || nargin > 3)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
513 print_usage ();
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
514
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
515 octave_value_list retval (nargout > 1 ? 2 : 1);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
516
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
517 int kind = 0;
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
518 if (nargin > 1)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
519 {
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
520 kind = args(0).xint_value ("airy: K must be an integer value");
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
521
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
522 if (kind < 0 || kind > 3)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
523 error ("airy: K must be 0, 1, 2, or 3");
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
524 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
525
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
526 bool scale = (nargin == 3);
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
527
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
528 int idx = (nargin == 1 ? 0 : 1);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
529
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
530 if (args(idx).is_single_type ())
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
531 {
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
532 FloatComplexNDArray z = args(idx).xfloat_complex_array_value ("airy: Z must be a complex matrix");
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
533
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
534 Array<octave_idx_type> ierr;
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
535 octave_value result;
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7031
diff changeset
536
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
537 if (kind > 1)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
538 result = biry (z, kind == 3, scale, ierr);
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
539 else
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
540 result = airy (z, kind == 1, scale, ierr);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7031
diff changeset
541
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
542 retval(0) = result;
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
543 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
544 retval(1) = NDArray (ierr);
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
545 }
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
546 else
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
547 {
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
548 ComplexNDArray z = args(idx).xcomplex_array_value ("airy: Z must be a complex matrix");
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
549
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
550 Array<octave_idx_type> ierr;
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
551 octave_value result;
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
552
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
553 if (kind > 1)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
554 result = biry (z, kind == 3, scale, ierr);
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
555 else
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
556 result = airy (z, kind == 1, scale, ierr);
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
557
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
558 retval(0) = result;
20803
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
559 if (nargout > 1)
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
560 retval(1) = NDArray (ierr);
c22206c1a88f eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20741
diff changeset
561 }
3220
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
562
3deb1105fbc1 [project @ 1998-11-19 00:06:30 by jwe]
jwe
parents: 3187
diff changeset
563 return retval;
3155
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe]
jwe
parents:
diff changeset
564 }
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe]
jwe
parents:
diff changeset
565
1016520a9d38 [project @ 1998-02-18 21:51:50 by jwe]
jwe
parents:
diff changeset
566 /*
20892
c07bee629973 2015 Code Sprint: use ovl ().
Rik <rik@octave.org>
parents: 20872
diff changeset
567 FIXME: Function airy does not yet have BIST tests
20872
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
568 */
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
569
ead410040418 2015 Code Sprint: mark bessel functions as tested
Mike Miller <mtmiller@octave.org>
parents: 20853
diff changeset
570 /*
17336
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Rik <rik@octave.org>
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diff changeset
571 ## Test values computed with GP/PARI version 2.3.3
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
572 %!shared alpha, x, jx, yx, ix, kx, nix
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
573 %!
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Rik <rik@octave.org>
parents: 15195
diff changeset
574 %! ## Bessel functions, even order, positive and negative x
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Rik <octave@nomad.inbox5.com>
parents: 14450
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575 %! alpha = 2; x = 1.25;
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Brian Gough <bjg@gnu.org>
parents: 7919
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576 %! jx = 0.1710911312405234823613091417;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
577 %! yx = -1.193199310178553861283790424;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
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578 %! ix = 0.2220184483766341752692212604;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
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579 %! kx = 0.9410016167388185767085460540;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
580 %!
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Rik <octave@nomad.inbox5.com>
parents: 14450
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581 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
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582 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
583 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
584 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
585 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
586 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
587 %!
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
588 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
589 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
590 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
591 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
592 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
593 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
594 %!
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
595 %!assert (besselj (-alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
596 %!assert (bessely (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
597 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
598 %!assert (besselk (-alpha,x), kx, 100*eps)
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
599 %!assert (besselh (-alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
600 %!assert (besselh (-alpha,2,x), jx - I*yx, 100*eps)
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
601 %!
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
602 %!assert (besselj (-alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
603 %!assert (bessely (-alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
604 %!assert (besseli (-alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
605 %!assert (besselk (-alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
606 %!assert (besselh (-alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
607 %!assert (besselh (-alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
608 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
609 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
610 %! yx = -1.193199310178553861283790424 + 0.3421822624810469647226182835*I;
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
611 %! kx = 0.9410016167388185767085460540 - 0.6974915263814386815610060884*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
612 %!
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
613 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
614 %!assert (bessely (alpha,x), yx, 100*eps)
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
615 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
616 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
617 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
618 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
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Brian Gough <bjg@gnu.org>
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619 %!
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Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
620 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
621 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
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622 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
623 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
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Rik <octave@nomad.inbox5.com>
parents: 14450
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624 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
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625 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
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Brian Gough <bjg@gnu.org>
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626 %!
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Rik <rik@octave.org>
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627 %! ## Bessel functions, odd order, positive and negative x
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628 %! alpha = 3; x = 2.5;
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parents: 7919
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629 %! jx = 0.2166003910391135247666890035;
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Brian Gough <bjg@gnu.org>
parents: 7919
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630 %! yx = -0.7560554967536709968379029772;
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Brian Gough <bjg@gnu.org>
parents: 7919
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631 %! ix = 0.4743704087780355895548240179;
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Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
632 %! kx = 0.2682271463934492027663765197;
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Brian Gough <bjg@gnu.org>
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633 %!
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634 %!assert (besselj (alpha,x), jx, 100*eps)
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parents: 14450
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635 %!assert (bessely (alpha,x), yx, 100*eps)
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636 %!assert (besseli (alpha,x), ix, 100*eps)
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Rik <octave@nomad.inbox5.com>
parents: 14450
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637 %!assert (besselk (alpha,x), kx, 100*eps)
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Rik <octave@nomad.inbox5.com>
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638 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
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Rik <octave@nomad.inbox5.com>
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639 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
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Brian Gough <bjg@gnu.org>
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640 %!
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641 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
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parents: 14450
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642 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
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Rik <octave@nomad.inbox5.com>
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643 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
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644 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
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Rik <octave@nomad.inbox5.com>
parents: 14450
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645 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
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parents: 14450
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646 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
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Brian Gough <bjg@gnu.org>
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647 %!
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648 %!assert (besselj (-alpha,x), -jx, 100*eps)
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649 %!assert (bessely (-alpha,x), -yx, 100*eps)
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650 %!assert (besseli (-alpha,x), ix, 100*eps)
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651 %!assert (besselk (-alpha,x), kx, 100*eps)
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652 %!assert (besselh (-alpha,1,x), -(jx + I*yx), 100*eps)
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653 %!assert (besselh (-alpha,2,x), -(jx - I*yx), 100*eps)
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Brian Gough <bjg@gnu.org>
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654 %!
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655 %!assert (besselj (-alpha,x,1), -jx*exp(-abs(imag(x))), 100*eps)
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656 %!assert (bessely (-alpha,x,1), -yx*exp(-abs(imag(x))), 100*eps)
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657 %!assert (besseli (-alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
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658 %!assert (besselk (-alpha,x,1), kx*exp(x), 100*eps)
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parents: 14450
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659 %!assert (besselh (-alpha,1,x,1), -(jx + I*yx)*exp(-I*x), 100*eps)
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660 %!assert (besselh (-alpha,2,x,1), -(jx - I*yx)*exp(I*x), 100*eps)
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661 %!
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662 %! x *= -1;
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663 %! jx = -jx;
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664 %! yx = 0.7560554967536709968379029772 - 0.4332007820782270495333780070*I;
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Brian Gough <bjg@gnu.org>
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665 %! ix = -ix;
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666 %! kx = -0.2682271463934492027663765197 - 1.490278591297463775542004240*I;
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667 %!
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668 %!assert (besselj (alpha,x), jx, 100*eps)
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669 %!assert (bessely (alpha,x), yx, 100*eps)
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670 %!assert (besseli (alpha,x), ix, 100*eps)
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671 %!assert (besselk (alpha,x), kx, 100*eps)
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672 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
673 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
674 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
675 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
676 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
677 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
678 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
679 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
680 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
681 %!
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
682 %! ## Bessel functions, fractional order, positive and negative x
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
683 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
684 %! alpha = 3.5; x = 2.75;
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
685 %! jx = 0.1691636439842384154644784389;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
686 %! yx = -0.8301381935499356070267953387;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
687 %! ix = 0.3930540878794826310979363668;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
688 %! kx = 0.2844099013460621170288192503;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
689 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
690 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
691 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
692 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
693 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
694 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
695 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
696 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
697 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
698 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
699 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
700 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
701 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
702 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
703 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
704 %! nix = 0.2119931212254662995364461998;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
705 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
706 %!assert (besselj (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
707 %!assert (bessely (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
708 %!assert (besseli (-alpha,x), nix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
709 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
710 %!assert (besselh (-alpha,1,x), -I*(jx + I*yx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
711 %!assert (besselh (-alpha,2,x), I*(jx - I*yx), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
712 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
713 %!assert (besselj (-alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
714 %!assert (bessely (-alpha,x,1), -jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
715 %!assert (besseli (-alpha,x,1), nix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
716 %!assert (besselk (-alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
717 %!assert (besselh (-alpha,1,x,1), -I*(jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
718 %!assert (besselh (-alpha,2,x,1), I*(jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
719 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
720 %! x *= -1;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
721 %! jx *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
722 %! yx = -0.8301381935499356070267953387*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
723 %! ix *= -I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
724 %! kx = -0.9504059335995575096509874508*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
725 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
726 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
727 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
728 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
729 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
730 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
731 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
732 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
733 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
734 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
735 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
736 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
737 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
738 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
739 %!
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
740 %! ## Bessel functions, even order, complex x
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
741 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
742 %! alpha = 2; x = 1.25 + 3.625 * I;
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
743 %! jx = -1.299533366810794494030065917 + 4.370833116012278943267479589*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
744 %! yx = -4.370357232383223896393056727 - 1.283083391453582032688834041*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
745 %! ix = -0.6717801680341515541002273932 - 0.2314623443930774099910228553*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
746 %! kx = -0.01108009888623253515463783379 + 0.2245218229358191588208084197*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
747 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
748 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
749 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
750 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
751 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
752 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
753 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
754 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
755 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
756 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
757 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
758 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
759 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
760 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
761 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
762 %!assert (besselj (-alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
763 %!assert (bessely (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
764 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
765 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
766 %!assert (besselh (-alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
767 %!assert (besselh (-alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
768 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
769 %!assert (besselj (-alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
770 %!assert (bessely (-alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
771 %!assert (besseli (-alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
772 %!assert (besselk (-alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
773 %!assert (besselh (-alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
774 %!assert (besselh (-alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
775 %!
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
776 %! ## Bessel functions, odd order, complex x
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
777 %!
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
778 %! alpha = 3; x = 2.5 + 1.875 * I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
779 %! jx = 0.1330721523048277493333458596 + 0.5386295217249660078754395597*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
780 %! yx = -0.6485072392105829901122401551 + 0.2608129289785456797046996987*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
781 %! ix = -0.6182064685486998097516365709 + 0.4677561094683470065767989920*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
782 %! kx = -0.1568585587733540007867882337 - 0.05185853709490846050505141321*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
783 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
784 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
785 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
786 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
787 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
788 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
789 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
790 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
791 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
792 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
793 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
794 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
795 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
796 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
797 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
798 %!assert (besselj (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
799 %!assert (bessely (-alpha,x), -yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
800 %!assert (besseli (-alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
801 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
802 %!assert (besselh (-alpha,1,x), -(jx + I*yx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
803 %!assert (besselh (-alpha,2,x), -(jx - I*yx), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
804 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
805 %!assert (besselj (-alpha,x,1), -jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
806 %!assert (bessely (-alpha,x,1), -yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
807 %!assert (besseli (-alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
808 %!assert (besselk (-alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
809 %!assert (besselh (-alpha,1,x,1), -(jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
810 %!assert (besselh (-alpha,2,x,1), -(jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
811 %!
17336
b81b9d079515 Use '##' for comments which stand alone on a line.
Rik <rik@octave.org>
parents: 15195
diff changeset
812 %! ## Bessel functions, fractional order, complex x
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
813 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
814 %! alpha = 3.5; x = 1.75 + 4.125 * I;
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
815 %! jx = -3.018566131370455929707009100 - 0.7585648436793900607704057611*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
816 %! yx = 0.7772278839106298215614791107 - 3.018518722313849782683792010*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
817 %! ix = 0.2100873577220057189038160913 - 0.6551765604618246531254970926*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
818 %! kx = 0.1757147290513239935341488069 + 0.08772348296883849205562558311*I;
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
819 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
820 %!assert (besselj (alpha,x), jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
821 %!assert (bessely (alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
822 %!assert (besseli (alpha,x), ix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
823 %!assert (besselk (alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
824 %!assert (besselh (alpha,1,x), jx + I*yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
825 %!assert (besselh (alpha,2,x), jx - I*yx, 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
826 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
827 %!assert (besselj (alpha,x,1), jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
828 %!assert (bessely (alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
829 %!assert (besseli (alpha,x,1), ix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
830 %!assert (besselk (alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
831 %!assert (besselh (alpha,1,x,1), (jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
832 %!assert (besselh (alpha,2,x,1), (jx - I*yx)*exp(I*x), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
833 %!
17337
a31b54b5f84a Use only 1 space between '%!' and start of test/demo code.
Rik <rik@octave.org>
parents: 17336
diff changeset
834 %! nix = 0.09822388691172060573913739253 - 0.7110230642207380127317227407*I;
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
835 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
836 %!assert (besselj (-alpha,x), yx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
837 %!assert (bessely (-alpha,x), -jx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
838 %!assert (besseli (-alpha,x), nix, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
839 %!assert (besselk (-alpha,x), kx, 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
840 %!assert (besselh (-alpha,1,x), -I*(jx + I*yx), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
841 %!assert (besselh (-alpha,2,x), I*(jx - I*yx), 100*eps)
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
842 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
843 %!assert (besselj (-alpha,x,1), yx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
844 %!assert (bessely (-alpha,x,1), -jx*exp(-abs(imag(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
845 %!assert (besseli (-alpha,x,1), nix*exp(-abs(real(x))), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
846 %!assert (besselk (-alpha,x,1), kx*exp(x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
847 %!assert (besselh (-alpha,1,x,1), -I*(jx + I*yx)*exp(-I*x), 100*eps)
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
848 %!assert (besselh (-alpha,2,x,1), I*(jx - I*yx)*exp(I*x), 100*eps)
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
849
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
850
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
851 Tests contributed by Robert T. Short.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
852 Tests are based on the properties and tables in A&S:
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
853 Abramowitz and Stegun, "Handbook of Mathematical Functions",
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
854 1972.
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
855
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
856 For regular Bessel functions, there are 3 tests. These compare octave
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
857 results against Tables 9.1, 9.2, and 9.4 in A&S. Tables 9.1 and 9.2
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
858 are good to only a few decimal places, so any failures should be
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
859 considered a broken implementation. Table 9.4 is an extended table
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
860 for larger orders and arguments. There are some differences between
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
861 Octave and Table 9.4, mostly in the last decimal place but in a very
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
862 few instances the errors are in the last two places. The comparison
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
863 tolerance has been changed to reflect this.
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
864
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
865 Similarly for modifed Bessel functions, there are 3 tests. These
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
866 compare octave results against Tables 9.8, 9.9, and 9.11 in A&S.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
867 Tables 9.8 and 9.9 are good to only a few decimal places, so any
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
868 failures should be considered a broken implementation. Table 9.11 is
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
869 an extended table for larger orders and arguments. There are some
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
870 differences between octave and Table 9.11, mostly in the last decimal
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
871 place but in a very few instances the errors are in the last two
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
872 places. The comparison tolerance has been changed to reflect this.
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
873
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
874 For spherical Bessel functions, there are also three tests, comparing
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
875 octave results to Tables 10.1, 10.2, and 10.4 in A&S. Very similar
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
876 comments may be made here as in the previous lines. At this time,
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
877 modified spherical Bessel function tests are not included.
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
878
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
879 % Table 9.1 - J and Y for integer orders 0, 1, 2.
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
880 % Compare against excerpts of Table 9.1, Abramowitz and Stegun.
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
881 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
882 %! n = 0:2;
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
883 %! z = (0:2.5:17.5)';
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
884 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
885 %! Jt = [[ 1.000000000000000, 0.0000000000, 0.0000000000];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
886 %! [-0.048383776468198, 0.4970941025, 0.4460590584];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
887 %! [-0.177596771314338, -0.3275791376, 0.0465651163];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
888 %! [ 0.266339657880378, 0.1352484276, -0.2302734105];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
889 %! [-0.245935764451348, 0.0434727462, 0.2546303137];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
890 %! [ 0.146884054700421, -0.1654838046, -0.1733614634];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
891 %! [-0.014224472826781, 0.2051040386, 0.0415716780];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
892 %! [-0.103110398228686, -0.1634199694, 0.0844338303]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
893 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
894 %! Yt = [[-Inf, -Inf, -Inf ];
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
895 %! [ 0.4980703596, 0.1459181380, -0.38133585 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
896 %! [-0.3085176252, 0.1478631434, 0.36766288 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
897 %! [ 0.1173132861, -0.2591285105, -0.18641422 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
898 %! [ 0.0556711673, 0.2490154242, -0.00586808 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
899 %! [-0.1712143068, -0.1538382565, 0.14660019 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
900 %! [ 0.2054642960, 0.0210736280, -0.20265448 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
901 %! [-0.1604111925, 0.0985727987, 0.17167666 ]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
902 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
903 %! J = besselj (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
904 %! Y = bessely (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
905 %! assert (Jt(:,1), J(:,1), 0.5e-10);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
906 %! assert (Yt(:,1), Y(:,1), 0.5e-10);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
907 %! assert (Jt(:,2:3), J(:,2:3), 0.5e-10);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
908
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
909 Table 9.2 - J and Y for integer orders 3-9.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
910
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
911 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
912 %! n = (3:9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
913 %! z = (0:2:20).';
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
914 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
915 %! Jt = [[ 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00, 0.0000e+00];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
916 %! [ 1.2894e-01, 3.3996e-02, 7.0396e-03, 1.2024e-03, 1.7494e-04, 2.2180e-05, 2.4923e-06];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
917 %! [ 4.3017e-01, 2.8113e-01, 1.3209e-01, 4.9088e-02, 1.5176e-02, 4.0287e-03, 9.3860e-04];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
918 %! [ 1.1477e-01, 3.5764e-01, 3.6209e-01, 2.4584e-01, 1.2959e-01, 5.6532e-02, 2.1165e-02];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
919 %! [-2.9113e-01,-1.0536e-01, 1.8577e-01, 3.3758e-01, 3.2059e-01, 2.2345e-01, 1.2632e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
920 %! [ 5.8379e-02,-2.1960e-01,-2.3406e-01,-1.4459e-02, 2.1671e-01, 3.1785e-01, 2.9186e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
921 %! [ 1.9514e-01, 1.8250e-01,-7.3471e-02,-2.4372e-01,-1.7025e-01, 4.5095e-02, 2.3038e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
922 %! [-1.7681e-01, 7.6244e-02, 2.2038e-01, 8.1168e-02,-1.5080e-01,-2.3197e-01,-1.1431e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
923 %! [-4.3847e-02,-2.0264e-01,-5.7473e-02, 1.6672e-01, 1.8251e-01,-7.0211e-03,-1.8953e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
924 %! [ 1.8632e-01, 6.9640e-02,-1.5537e-01,-1.5596e-01, 5.1399e-02, 1.9593e-01, 1.2276e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
925 %! [-9.8901e-02, 1.3067e-01, 1.5117e-01,-5.5086e-02,-1.8422e-01,-7.3869e-02, 1.2513e-01]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
926 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
927 %! Yt = [[ -Inf, -Inf, -Inf, -Inf, -Inf, -Inf, -Inf];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
928 %! [-1.1278e+00,-2.7659e+00,-9.9360e+00,-4.6914e+01,-2.7155e+02,-1.8539e+03,-1.4560e+04];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
929 %! [-1.8202e-01,-4.8894e-01,-7.9585e-01,-1.5007e+00,-3.7062e+00,-1.1471e+01,-4.2178e+01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
930 %! [ 3.2825e-01, 9.8391e-02,-1.9706e-01,-4.2683e-01,-6.5659e-01,-1.1052e+00,-2.2907e+00];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
931 %! [ 2.6542e-02, 2.8294e-01, 2.5640e-01, 3.7558e-02,-2.0006e-01,-3.8767e-01,-5.7528e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
932 %! [-2.5136e-01,-1.4495e-01, 1.3540e-01, 2.8035e-01, 2.0102e-01, 1.0755e-03,-1.9930e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
933 %! [ 1.2901e-01,-1.5122e-01,-2.2982e-01,-4.0297e-02, 1.8952e-01, 2.6140e-01, 1.5902e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
934 %! [ 1.2350e-01, 2.0393e-01,-6.9717e-03,-2.0891e-01,-1.7209e-01, 3.6816e-02, 2.1417e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
935 %! [-1.9637e-01,-7.3222e-05, 1.9633e-01, 1.2278e-01,-1.0425e-01,-2.1399e-01,-1.0975e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
936 %! [ 3.3724e-02,-1.7722e-01,-1.1249e-01, 1.1472e-01, 1.8897e-01, 3.2253e-02,-1.6030e-01];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
937 %! [ 1.4967e-01, 1.2409e-01,-1.0004e-01,-1.7411e-01,-4.4312e-03, 1.7101e-01, 1.4124e-01]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
938 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
939 %! n = (3:9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
940 %! z = (0:2:20).';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
941 %! J = besselj (n,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
942 %! Y = bessely (n,z);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
943 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
944 %! assert (J(1,:), zeros (1, columns (J)));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
945 %! assert (J(2:end,:), Jt(2:end,:), -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
946 %! assert (Yt(1,:), Y(1,:));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
947 %! assert (Y(2:end,:), Yt(2:end,:), -5e-5);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
948
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
949 Table 9.4 - J and Y for various integer orders and arguments.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
950
14450
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
951 %!test
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
952 %! Jt = [[ 7.651976866e-01, 2.238907791e-01, -1.775967713e-01, -2.459357645e-01, 5.581232767e-02, 1.998585030e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
953 %! [ 2.497577302e-04, 7.039629756e-03, 2.611405461e-01, -2.340615282e-01, -8.140024770e-02, -7.419573696e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
954 %! [ 2.630615124e-10, 2.515386283e-07, 1.467802647e-03, 2.074861066e-01, -1.138478491e-01, -5.473217694e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
955 %! [ 2.297531532e-17, 7.183016356e-13, 4.796743278e-07, 4.507973144e-03, -1.082255990e-01, 1.519812122e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
956 %! [ 3.873503009e-25, 3.918972805e-19, 2.770330052e-11, 1.151336925e-05, -1.167043528e-01, 6.221745850e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
957 %! [ 3.482869794e-42, 3.650256266e-33, 2.671177278e-21, 1.551096078e-12, 4.843425725e-02, 8.146012958e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
958 %! [ 1.107915851e-60, 1.196077458e-48, 8.702241617e-33, 6.030895312e-21, -1.381762812e-01, 7.270175482e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
959 %! [ 2.906004948e-80, 3.224095839e-65, 2.294247616e-45, 1.784513608e-30, 1.214090219e-01, -3.869833973e-02];
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
960 %! [ 8.431828790e-189, 1.060953112e-158, 6.267789396e-119, 6.597316064e-89, 1.115927368e-21, 9.636667330e-02]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
961 %!
14450
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
962 %! Yt = [[ 8.825696420e-02, 5.103756726e-01, -3.085176252e-01, 5.567116730e-02, -9.806499547e-02, -7.724431337e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
963 %! [-2.604058666e+02, -9.935989128e+00, -4.536948225e-01, 1.354030477e-01, -7.854841391e-02, -2.948019628e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
964 %! [-1.216180143e+08, -1.291845422e+05, -2.512911010e+01, -3.598141522e-01, 5.723897182e-03, 5.833157424e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
965 %! [-9.256973276e+14, -2.981023646e+10, -4.694049564e+04, -6.364745877e+00, 4.041280205e-02, 7.879068695e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
966 %! [-4.113970315e+22, -4.081651389e+16, -5.933965297e+08, -1.597483848e+03, 1.644263395e-02, 5.124797308e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
967 %! [-3.048128783e+39, -2.913223848e+30, -4.028568418e+18, -7.256142316e+09, -1.164572349e-01, 6.138839212e-03]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
968 %! [-7.184874797e+57, -6.661541235e+45, -9.216816571e+29, -1.362803297e+18, -4.530801120e-02, 4.074685217e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
969 %! [-2.191142813e+77, -1.976150576e+62, -2.788837017e+42, -3.641066502e+27, -2.103165546e-01, 7.650526394e-02]
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
970 %! [-3.775287810e+185, -3.000826049e+155, -5.084863915e+115, -4.849148271e+85, -3.293800188e+18, -1.669214114e-01]];
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
971 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
972 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
973 %! z = [1,2,5,10,50,100];
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
974 %! J = besselj (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
975 %! Y = bessely (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
976 %! assert (J, Jt, -1e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
977 %! assert (Y, Yt, -1e-9);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
978
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
979 Table 9.8 - I and K for integer orders 0, 1, 2.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
980
14450
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
981 %!test
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
982 %! n = 0:2;
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
983 %! z1 = [0.1;2.5;5.0];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
984 %! z2 = [7.5;10.0;15.0;20.0];
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
985 %! rtbl = [[ 0.9071009258 0.0452984468 0.1251041992 2.6823261023 10.890182683 1.995039646 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
986 %! [ 0.2700464416 0.2065846495 0.2042345837 0.7595486903 0.9001744239 0.759126289 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
987 %! [ 0.1835408126 0.1639722669 0.7002245988 0.5478075643 0.6002738588 0.132723593 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
988 %! [ 0.1483158301 0.1380412115 0.111504840 0.4505236991 0.4796689336 0.57843541 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
989 %! [ 0.1278333372 0.1212626814 0.103580801 0.3916319344 0.4107665704 0.47378525 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
990 %! [ 0.1038995314 0.1003741751 0.090516308 0.3210023535 0.3315348950 0.36520701 ];
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
991 %! [ 0.0897803119 0.0875062222 0.081029690 0.2785448768 0.2854254970 0.30708743 ]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
992 %!
14450
ab4676288414 Fix typos and errors in new bessel function tests
Mike Miller <mtmiller@ieee.org>
parents: 14426
diff changeset
993 %! tbl = [besseli(n,z1,1), besselk(n,z1,1)];
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
994 %! tbl(:,3) = tbl(:,3) .* (exp (z1) .* z1.^(-2));
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
995 %! tbl(:,6) = tbl(:,6) .* (exp (-z1) .* z1.^(2));
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
996 %! tbl = [tbl;[besseli(n,z2,1),besselk(n,z2,1)]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
997 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
998 %! assert (tbl, rtbl, -2e-8);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
999
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1000 Table 9.9 - I and K for orders 3-9.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1001
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1002 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1003 %! It = [[ 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00 0.0000e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1004 %! [ 2.8791e-02 6.8654e-03 1.3298e-03 2.1656e-04 3.0402e-05 3.7487e-06 4.1199e-07];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1005 %! [ 6.1124e-02 2.5940e-02 9.2443e-03 2.8291e-03 7.5698e-04 1.7968e-04 3.8284e-05];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1006 %! [ 7.4736e-02 4.1238e-02 1.9752e-02 8.3181e-03 3.1156e-03 1.0484e-03 3.1978e-04];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1007 %! [ 7.9194e-02 5.0500e-02 2.8694e-02 1.4633e-02 6.7449e-03 2.8292e-03 1.0866e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1008 %! [ 7.9830e-02 5.5683e-02 3.5284e-02 2.0398e-02 1.0806e-02 5.2694e-03 2.3753e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1009 %! [ 7.8848e-02 5.8425e-02 3.9898e-02 2.5176e-02 1.4722e-02 8.0010e-03 4.0537e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1010 %! [ 7.7183e-02 5.9723e-02 4.3056e-02 2.8969e-02 1.8225e-02 1.0744e-02 5.9469e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1011 %! [ 7.5256e-02 6.0155e-02 4.5179e-02 3.1918e-02 2.1240e-02 1.3333e-02 7.9071e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1012 %! [ 7.3263e-02 6.0059e-02 4.6571e-02 3.4186e-02 2.3780e-02 1.5691e-02 9.8324e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1013 %! [ 7.1300e-02 5.9640e-02 4.7444e-02 3.5917e-02 2.5894e-02 1.7792e-02 1.1661e-02]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1014 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1015 %! Kt = [[ Inf Inf Inf Inf Inf Inf Inf];
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1016 %! [ 4.7836e+00 1.6226e+01 6.9687e+01 3.6466e+02 2.2576e+03 1.6168e+04 1.3160e+05];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1017 %! [ 1.6317e+00 3.3976e+00 8.4268e+00 2.4465e+01 8.1821e+01 3.1084e+02 1.3252e+03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1018 %! [ 9.9723e-01 1.6798e+00 3.2370e+00 7.0748e+00 1.7387e+01 4.7644e+01 1.4444e+02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1019 %! [ 7.3935e-01 1.1069e+00 1.8463e+00 3.4148e+00 6.9684e+00 1.5610e+01 3.8188e+01];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1020 %! [ 6.0028e-01 8.3395e-01 1.2674e+00 2.1014e+00 3.7891e+00 7.4062e+00 1.5639e+01];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1021 %! [ 5.1294e-01 6.7680e-01 9.6415e-01 1.4803e+00 2.4444e+00 4.3321e+00 8.2205e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1022 %! [ 4.5266e-01 5.7519e-01 7.8133e-01 1.1333e+00 1.7527e+00 2.8860e+00 5.0510e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1023 %! [ 4.0829e-01 5.0414e-01 6.6036e-01 9.1686e-01 1.3480e+00 2.0964e+00 3.4444e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1024 %! [ 3.7411e-01 4.5162e-01 5.7483e-01 7.7097e-01 1.0888e+00 1.6178e+00 2.5269e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1025 %! [ 3.4684e-01 4.1114e-01 5.1130e-01 6.6679e-01 9.1137e-01 1.3048e+00 1.9552e+00]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1026 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1027 %! n = (3:9);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1028 %! z = (0:2:20).';
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1029 %! I = besseli (n,z,1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1030 %! K = besselk (n,z,1);
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1031 %!
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1032 %! assert (abs (I(1,:)), zeros (1, columns (I)));
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1033 %! assert (I(2:end,:), It(2:end,:), -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1034 %! assert (Kt(1,:), K(1,:));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1035 %! assert (K(2:end,:), Kt(2:end,:), -5e-5);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1036
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1037 Table 9.11 - I and K for various integer orders and arguments.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1038
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1039 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1040 %! It = [[ 1.266065878e+00 2.279585302e+00 2.723987182e+01 2.815716628e+03 2.93255378e+20 1.07375171e+42 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1041 %! [ 2.714631560e-04 9.825679323e-03 2.157974547e+00 7.771882864e+02 2.27854831e+20 9.47009387e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1042 %! [ 2.752948040e-10 3.016963879e-07 4.580044419e-03 2.189170616e+01 1.07159716e+20 6.49897552e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1043 %! [ 2.370463051e-17 8.139432531e-13 1.047977675e-06 1.043714907e-01 3.07376455e+19 3.47368638e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1044 %! [ 3.966835986e-25 4.310560576e-19 5.024239358e-11 1.250799736e-04 5.44200840e+18 1.44834613e+41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1045 %! [ 3.539500588e-42 3.893519664e-33 3.997844971e-21 7.787569783e-12 4.27499365e+16 1.20615487e+40 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1046 %! [ 1.121509741e-60 1.255869192e-48 1.180426980e-32 2.042123274e-20 6.00717897e+13 3.84170550e+38 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1047 %! [ 2.934635309e-80 3.353042830e-65 2.931469647e-45 4.756894561e-30 1.76508024e+10 4.82195809e+36 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1048 %! [ 8.473674008e-189 1.082171475e-158 7.093551489e-119 1.082344202e-88 2.72788795e-16 4.64153494e+21 ]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1049 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1050 %! Kt = [[ 4.210244382e-01 1.138938727e-01 3.691098334e-03 1.778006232e-05 3.41016774e-23 4.65662823e-45 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1051 %! [ 3.609605896e+02 9.431049101e+00 3.270627371e-02 5.754184999e-05 4.36718224e-23 5.27325611e-45 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1052 %! [ 1.807132899e+08 1.624824040e+05 9.758562829e+00 1.614255300e-03 9.15098819e-23 7.65542797e-45 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1053 %! [ 1.403066801e+15 4.059213332e+10 3.016976630e+04 2.656563849e-01 3.11621117e-22 1.42348325e-44 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1054 %! [ 6.294369360e+22 5.770856853e+16 4.827000521e+08 1.787442782e+02 1.70614838e-21 3.38520541e-44 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1055 %! [ 4.706145527e+39 4.271125755e+30 4.112132063e+18 2.030247813e+09 2.00581681e-19 3.97060205e-43 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1056 %! [ 1.114220651e+58 9.940839886e+45 1.050756722e+30 5.938224681e+17 1.29986971e-16 1.20842080e-41 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1057 %! [ 3.406896854e+77 2.979981740e+62 3.394322243e+42 2.061373775e+27 4.00601349e-13 9.27452265e-40 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1058 %! [ 5.900333184e+185 4.619415978e+155 7.039860193e+115 4.596674084e+85 1.63940352e+13 7.61712963e-25 ]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1059 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1060 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1061 %! z = [1,2,5,10,50,100];
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1062 %! I = besseli (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1063 %! K = besselk (n.', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1064 %! assert (I, It, -5e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1065 %! assert (K, Kt, -5e-9);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1066
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1067 The next section checks that negative integer orders and positive
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1068 integer orders are appropriately related.
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1069
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1070 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1071 %! n = (0:2:20);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1072 %! assert (besselj (n,1), besselj (-n,1), 1e-8);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1073 %! assert (-besselj (n+1,1), besselj (-n-1,1), 1e-8);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1074
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1075 besseli (n,z) = besseli (-n,z);
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1076
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1077 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1078 %! n = (0:2:20);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1079 %! assert (besseli (n,1), besseli (-n,1), 1e-8);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1080
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1081 Table 10.1 - j and y for integer orders 0, 1, 2.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1082 Compare against excerpts of Table 10.1, Abramowitz and Stegun.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1083
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1084 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1085 %! n = (0:2);
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1086 %! z = [0.1;(2.5:2.5:10.0).'];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1087 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1088 %! jt = [[ 9.9833417e-01 3.33000119e-02 6.6619061e-04 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1089 %! [ 2.3938886e-01 4.16212989e-01 2.6006673e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1090 %! [-1.9178485e-01 -9.50894081e-02 1.3473121e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1091 %! [ 1.2507e-01 -2.9542e-02 -1.3688e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1092 %! [ -5.4402e-02 7.8467e-02 7.7942e-02 ]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1093 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1094 %! yt = [[-9.9500417e+00 -1.0049875e+02 -3.0050125e+03 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1095 %! [ 3.2045745e-01 -1.1120588e-01 -4.5390450e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1096 %! [-5.6732437e-02 1.8043837e-01 1.6499546e-01 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1097 %! [ -4.6218e-02 -1.3123e-01 -6.2736e-03 ];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1098 %! [ 8.3907e-02 6.2793e-02 -6.5069e-02 ]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1099 %!
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1100 %! j = sqrt ((pi/2)./z) .* besselj (n+1/2,z);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1101 %! y = sqrt ((pi/2)./z) .* bessely (n+1/2,z);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1102 %! assert (jt, j, -5e-5);
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1103 %! assert (yt, y, -5e-5);
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1104
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1105 Table 10.2 - j and y for orders 3-8.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1106 Compare against excerpts of Table 10.2, Abramowitzh and Stegun.
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1107
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1108 Important note: In A&S, y_4(0.1) = -1.0507e+7, but Octave returns
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1109 y_4(0.1) = -1.0508e+07 (-10507503.75). If I compute the same term using
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1110 a series, the difference is in the eighth significant digit so I left
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1111 the Octave results in place.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1112
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1113 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1114 %! n = (3:8);
14854
5ae9f0f77635 maint: Use Octave coding conventions for coddling parenthis is DLD-FUNCTIONS directory
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
1115 %! z = (0:2.5:10).'; z(1) = 0.1;
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1116 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1117 %! jt = [[ 9.5185e-06 1.0577e-07 9.6163e-10 7.3975e-12 4.9319e-14 2.9012e-16];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1118 %! [ 1.0392e-01 3.0911e-02 7.3576e-03 1.4630e-03 2.5009e-04 3.7516e-05];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1119 %! [ 2.2982e-01 1.8702e-01 1.0681e-01 4.7967e-02 1.7903e-02 5.7414e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1120 %! [-6.1713e-02 7.9285e-02 1.5685e-01 1.5077e-01 1.0448e-01 5.8188e-02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1121 %! [-3.9496e-02 -1.0559e-01 -5.5535e-02 4.4501e-02 1.1339e-01 1.2558e-01]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1122 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1123 %! yt = [[-1.5015e+05 -1.0508e+07 -9.4553e+08 -1.0400e+11 -1.3519e+13 -2.0277e+15];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1124 %! [-7.9660e-01 -1.7766e+00 -5.5991e+00 -2.2859e+01 -1.1327e+02 -6.5676e+02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1125 %! [-1.5443e-02 -1.8662e-01 -3.2047e-01 -5.1841e-01 -1.0274e+00 -2.5638e+00];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1126 %! [ 1.2705e-01 1.2485e-01 2.2774e-02 -9.1449e-02 -1.8129e-01 -2.7112e-01];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1127 %! [-9.5327e-02 -1.6599e-03 9.3834e-02 1.0488e-01 4.2506e-02 -4.1117e-02]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1128 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1129 %! j = sqrt ((pi/2)./z) .* besselj (n+1/2,z);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1130 %! y = sqrt ((pi/2)./z) .* bessely (n+1/2,z);
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1131 %!
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1132 %! assert (jt, j, -5e-5);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1133 %! assert (yt, y, -5e-5);
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1134
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1135 Table 10.4 - j and y for various integer orders and arguments.
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1136
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1137 %!test
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1138 %! jt = [[ 8.414709848e-01 4.546487134e-01 -1.917848549e-01 -5.440211109e-02 -5.247497074e-03 -5.063656411e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1139 %! [ 9.256115861e-05 2.635169770e-03 1.068111615e-01 -5.553451162e-02 -2.004830056e-02 -9.290148935e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1140 %! [ 7.116552640e-11 6.825300865e-08 4.073442442e-04 6.460515449e-02 -1.503922146e-02 -1.956578597e-04];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1141 %! [ 5.132686115e-18 1.606982166e-13 1.084280182e-07 1.063542715e-03 -1.129084539e-02 7.877261748e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1142 %! [ 7.537795722e-26 7.632641101e-20 5.427726761e-12 2.308371961e-06 -1.578502990e-02 1.010767128e-02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1143 %! [ 5.566831267e-43 5.836617888e-34 4.282730217e-22 2.512057385e-13 -1.494673454e-03 8.700628514e-03];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1144 %! [ 1.538210374e-61 1.660978779e-49 1.210347583e-33 8.435671634e-22 -2.606336952e-02 1.043410851e-02];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1145 %! [ 3.615274717e-81 4.011575290e-66 2.857479350e-46 2.230696023e-31 1.882910737e-02 5.797140882e-04];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1146 %! [7.444727742e-190 9.367832591e-160 5.535650303e-120 5.832040182e-90 1.019012263e-22 1.088047701e-02]];
14426
e28a1723d5a2 besselj: Style fixes on new tests due to Robert T. Short
Jordi Gutiérrez Hermoso <jordigh@octave.org>
parents: 14425
diff changeset
1147 %!
14425
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1148 %! yt = [[ -5.403023059e-01 2.080734183e-01 -5.673243709e-02 8.390715291e-02 -1.929932057e-02 -8.623188723e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1149 %! [ -9.994403434e+02 -1.859144531e+01 -3.204650467e-01 9.383354168e-02 -6.971131965e-04 3.720678486e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1150 %! [ -6.722150083e+08 -3.554147201e+05 -2.665611441e+01 -1.724536721e-01 1.352468751e-02 1.002577737e-02]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1151 %! [ -6.298007233e+15 -1.012182944e+11 -6.288146513e+04 -3.992071745e+00 1.712319725e-02 6.258641510e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1152 %! [ -3.239592219e+23 -1.605436493e+17 -9.267951403e+08 -1.211210605e+03 1.375953130e-02 5.631729379e-05]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1153 %! [ -2.946428547e+40 -1.407393871e+31 -7.760717570e+18 -6.908318646e+09 -2.241226812e-02 -5.412929349e-03]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1154 %! [ -8.028450851e+58 -3.720929322e+46 -2.055758716e+30 -1.510304919e+18 4.978797221e-05 -7.048420407e-04]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1155 %! [ -2.739192285e+78 -1.235021944e+63 -6.964109188e+42 -4.528227272e+27 -4.190000150e-02 1.074782297e-02]
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1156 %! [-6.683079463e+186 -2.655955830e+156 -1.799713983e+116 -8.573226309e+85 -1.125692891e+18 -2.298385049e-02]];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1157 %!
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1158 %! n = [(0:5:20).';30;40;50;100];
6646031e2450 besselj.cc: Added tests to cover a broad range of arguments and orders.
Robert T. Short <octave@phaselockedsystems.com>
parents: 14360
diff changeset
1159 %! z = [1,2,5,10,50,100];
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1160 %! j = sqrt ((pi/2)./z) .* besselj ((n+1/2).', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1161 %! y = sqrt ((pi/2)./z) .* bessely ((n+1/2).', z.').';
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1162 %! assert (j, jt, -1e-9);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14450
diff changeset
1163 %! assert (y, yt, -1e-9);
8278
ab0674a8b345 fix scaling factor for negative alpha in zbesi,cbesi
Brian Gough <bjg@gnu.org>
parents: 7919
diff changeset
1164 */