annotate libinterp/corefcn/quad.cc @ 30564:796f54d4ddbf stable

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents 7d6709900da7
children c9788d7f6e65
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1 ////////////////////////////////////////////////////////////////////////
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2 //
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3 // Copyright (C) 1996-2022 The Octave Project Developers
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4 //
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5 // See the file COPYRIGHT.md in the top-level directory of this
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6 // distribution or <https://octave.org/copyright/>.
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7 //
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8 // This file is part of Octave.
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9 //
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10 // Octave is free software: you can redistribute it and/or modify it
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11 // under the terms of the GNU General Public License as published by
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12 // the Free Software Foundation, either version 3 of the License, or
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13 // (at your option) any later version.
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14 //
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15 // Octave is distributed in the hope that it will be useful, but
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 // GNU General Public License for more details.
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19 //
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20 // You should have received a copy of the GNU General Public License
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21 // along with Octave; see the file COPYING. If not, see
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22 // <https://www.gnu.org/licenses/>.
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23 //
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24 ////////////////////////////////////////////////////////////////////////
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25
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26 #if defined (HAVE_CONFIG_H)
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27 # include "config.h"
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28 #endif
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29
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30 #include <string>
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31
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32 #include "Quad.h"
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33 #include "lo-mappers.h"
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34
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35 #include "defun.h"
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36 #include "error.h"
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37 #include "errwarn.h"
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38 #include "interpreter-private.h"
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39 #include "pager.h"
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40 #include "parse.h"
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41 #include "ov.h"
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42 #include "ovl.h"
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43 #include "unwind-prot.h"
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44 #include "utils.h"
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45 #include "variables.h"
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46
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47 #include "Quad-opts.cc"
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48
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49 OCTAVE_NAMESPACE_BEGIN
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50
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51 // Global pointer for user defined function required by quadrature functions.
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52 static octave_value quad_fcn;
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53
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54 // Have we warned about imaginary values returned from user function?
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55 static bool warned_imaginary = false;
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56
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57 // Is this a recursive call?
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58 static int call_depth = 0;
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59
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60 static double
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61 quad_user_function (double x)
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62 {
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63 double retval = 0.0;
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64
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65 octave_value_list args;
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66 args(0) = x;
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67
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68 if (quad_fcn.is_defined ())
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69 {
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70 octave_value_list tmp;
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71
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72 try
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73 {
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74 tmp = feval (quad_fcn, args, 1);
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75 }
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76 catch (execution_exception& ee)
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77 {
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78 err_user_supplied_eval (ee, "quad");
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79 }
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80
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81 if (! tmp.length () || ! tmp(0).is_defined ())
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82 err_user_supplied_eval ("quad");
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83
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84 if (! warned_imaginary && tmp(0).iscomplex ())
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85 {
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86 warning ("quad: ignoring imaginary part returned from user-supplied function");
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87 warned_imaginary = true;
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88 }
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89
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90 retval = tmp(0).xdouble_value ("quad: expecting user supplied function to return numeric value");
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91 }
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92
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93 return retval;
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94 }
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95
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96 static float
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97 quad_float_user_function (float x)
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98 {
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99 float retval = 0.0;
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100
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101 octave_value_list args;
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102 args(0) = x;
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103
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104 if (quad_fcn.is_defined ())
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105 {
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106 octave_value_list tmp;
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107
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108 try
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109 {
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110 tmp = feval (quad_fcn, args, 1);
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111 }
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112 catch (execution_exception& ee)
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113 {
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114 err_user_supplied_eval (ee, "quad");
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115 }
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116
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117 if (! tmp.length () || ! tmp(0).is_defined ())
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118 err_user_supplied_eval ("quad");
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119
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120 if (! warned_imaginary && tmp(0).iscomplex ())
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121 {
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122 warning ("quad: ignoring imaginary part returned from user-supplied function");
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123 warned_imaginary = true;
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124 }
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125
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126 retval = tmp(0).xfloat_value ("quad: expecting user supplied function to return numeric value");
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127 }
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128
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129 return retval;
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130 }
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131
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132 DEFMETHODX ("quad", Fquad, interp, args, ,
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133 doc: /* -*- texinfo -*-
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134 @deftypefn {} {@var{q} =} quad (@var{f}, @var{a}, @var{b})
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135 @deftypefnx {} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol})
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136 @deftypefnx {} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})
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137 @deftypefnx {} {[@var{q}, @var{ier}, @var{nfun}, @var{err}] =} quad (@dots{})
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138 Numerically evaluate the integral of @var{f} from @var{a} to @var{b} using
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139 Fortran routines from @w{@sc{quadpack}}.
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140
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141 @var{f} is a function handle, inline function, or a string containing the
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142 name of the function to evaluate. The function must have the form @code{y =
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143 f (x)} where @var{y} and @var{x} are scalars.
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144
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145 @var{a} and @var{b} are the lower and upper limits of integration. Either
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146 or both may be infinite.
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147
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148 The optional argument @var{tol} is a vector that specifies the desired
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149 accuracy of the result. The first element of the vector is the desired
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150 absolute tolerance, and the second element is the desired relative
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151 tolerance. To choose a relative test only, set the absolute
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152 tolerance to zero. To choose an absolute test only, set the relative
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153 tolerance to zero. Both tolerances default to @code{sqrt (eps)} or
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154 approximately 1.5e-8.
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155
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156 The optional argument @var{sing} is a vector of values at which the
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157 integrand is known to be singular.
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158
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159 The result of the integration is returned in @var{q}.
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160
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161 @var{ier} contains an integer error code (0 indicates a successful
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162 integration).
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163
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164 @var{nfun} indicates the number of function evaluations that were
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165 made.
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166
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167 @var{err} contains an estimate of the error in the solution.
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168
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169 The function @code{quad_options} can set other optional parameters for
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170 @code{quad}.
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171
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172 Note: because @code{quad} is written in Fortran it cannot be called
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173 recursively. This prevents its use in integrating over more than one
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174 variable by routines @code{dblquad} and @code{triplequad}.
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175 @seealso{quad_options, quadv, quadl, quadgk, quadcc, trapz, dblquad, triplequad}
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176 @end deftypefn */)
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177 {
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178 int nargin = args.length ();
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179
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180 if (nargin < 3 || nargin > 5)
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181 print_usage ();
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182
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183 warned_imaginary = false;
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184
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185 unwind_protect_var<int> restore_var (call_depth);
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186 call_depth++;
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187
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188 if (call_depth > 1)
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189 error ("quad: invalid recursive call");
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190
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191 quad_fcn = get_function_handle (interp, args(0), "x");
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192
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193 octave_value_list retval;
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194
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195 if (args(1).is_single_type () || args(2).is_single_type ())
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196 {
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197 float a = args(1).xfloat_value ("quad: lower limit of integration A must be a scalar");
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198 float b = args(2).xfloat_value ("quad: upper limit of integration B must be a scalar");
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199
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200 int indefinite = 0;
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201 FloatIndefQuad::IntegralType indef_type
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202 = FloatIndefQuad::doubly_infinite;
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203 float bound = 0.0;
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204 if (math::isinf (a) && math::isinf (b))
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205 {
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206 indefinite = 1;
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207 indef_type = FloatIndefQuad::doubly_infinite;
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208 }
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209 else if (math::isinf (a))
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210 {
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211 indefinite = 1;
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212 bound = b;
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213 indef_type = FloatIndefQuad::neg_inf_to_bound;
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214 }
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215 else if (math::isinf (b))
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216 {
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217 indefinite = 1;
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218 bound = a;
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219 indef_type = FloatIndefQuad::bound_to_inf;
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220 }
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221
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222 octave_idx_type ier = 0;
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223 octave_idx_type nfun = 0;
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224 float abserr = 0.0;
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225 float val = 0.0;
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226 bool have_sing = false;
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227 FloatColumnVector sing;
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228 FloatColumnVector tol;
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229
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230 switch (nargin)
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231 {
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232 case 5:
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233 if (indefinite)
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234 error ("quad: singularities not allowed on infinite intervals");
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235
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236 have_sing = true;
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237
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238 sing = args(4).xfloat_vector_value ("quad: fifth argument SING must be a vector of singularities");
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239 OCTAVE_FALLTHROUGH;
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240
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241 case 4:
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242 tol = args(3).xfloat_vector_value ("quad: TOL must be a 1 or 2-element vector");
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243
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244 switch (tol.numel ())
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245 {
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246 case 2:
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247 quad_opts.set_single_precision_relative_tolerance (tol (1));
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248 OCTAVE_FALLTHROUGH;
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249
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250 case 1:
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251 quad_opts.set_single_precision_absolute_tolerance (tol (0));
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252 break;
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253
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254 default:
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255 error ("quad: TOL must be a 1 or 2-element vector");
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256 }
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257 OCTAVE_FALLTHROUGH;
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258
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259 case 3:
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260 if (indefinite)
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261 {
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262 FloatIndefQuad iq (quad_float_user_function, bound,
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263 indef_type);
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264 iq.set_options (quad_opts);
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265 val = iq.float_integrate (ier, nfun, abserr);
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266 }
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267 else
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268 {
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269 if (have_sing)
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270 {
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271 FloatDefQuad dq (quad_float_user_function, a, b, sing);
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272 dq.set_options (quad_opts);
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273 val = dq.float_integrate (ier, nfun, abserr);
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274 }
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275 else
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276 {
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277 FloatDefQuad dq (quad_float_user_function, a, b);
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278 dq.set_options (quad_opts);
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279 val = dq.float_integrate (ier, nfun, abserr);
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280 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
281 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
282 break;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
283
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
284 default:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
285 panic_impossible ();
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
286 break;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
287 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
288
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
289 retval = ovl (val, ier, nfun, abserr);
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
290
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
291 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
292 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
293 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
294 double a = args(1).xdouble_value ("quad: lower limit of integration A must be a scalar");
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
295 double b = args(2).xdouble_value ("quad: upper limit of integration B must be a scalar");
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
296
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
297 int indefinite = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
298 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
299 double bound = 0.0;
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
300 if (math::isinf (a) && math::isinf (b))
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
301 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
302 indefinite = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
303 indef_type = IndefQuad::doubly_infinite;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
304 }
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
305 else if (math::isinf (a))
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
306 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
307 indefinite = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
308 bound = b;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
309 indef_type = IndefQuad::neg_inf_to_bound;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
310 }
29961
7d6709900da7 eliminate octave:: namespace tags in DEFUN and DEFMETHOD and more
John W. Eaton <jwe@octave.org>
parents: 29958
diff changeset
311 else if (math::isinf (b))
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
312 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
313 indefinite = 1;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
314 bound = a;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
315 indef_type = IndefQuad::bound_to_inf;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
316 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
317
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
318 octave_idx_type ier = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
319 octave_idx_type nfun = 0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
320 double abserr = 0.0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
321 double val = 0.0;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
322 bool have_sing = false;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
323 ColumnVector sing;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
324 ColumnVector tol;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
325
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
326 switch (nargin)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
327 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
328 case 5:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
329 if (indefinite)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
330 error ("quad: singularities not allowed on infinite intervals");
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
331
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
332 have_sing = true;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
333
26356
768945ca2ff2 quad.cc: Fix static analyzer detected issues (bug #55347).
Rik <rik@octave.org>
parents: 25438
diff changeset
334 sing = args(4).xvector_value ("quad: fifth argument SING must be a vector of singularities");
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23699
diff changeset
335 OCTAVE_FALLTHROUGH;
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
336
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
337 case 4:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
338 tol = args(3).xvector_value ("quad: TOL must be a 1 or 2-element vector");
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
339
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
340 switch (tol.numel ())
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
341 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
342 case 2:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
343 quad_opts.set_relative_tolerance (tol (1));
23826
d69021d58a61 avoid fallthrough warnings
John W. Eaton <jwe@octave.org>
parents: 23699
diff changeset
344 OCTAVE_FALLTHROUGH;
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
345
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
346 case 1:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
347 quad_opts.set_absolute_tolerance (tol (0));
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
348 break;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
349
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
350 default:
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
351 error ("quad: TOL must be a 1 or 2-element vector");
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
352 }
25080
699fe9cd51ca quad.cc: Silence implicit-fallthrough warning bug #53542)
Rik <rik@octave.org>
parents: 25054
diff changeset
353 OCTAVE_FALLTHROUGH;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
354
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
355 case 3:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
356 if (indefinite)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
357 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
358 IndefQuad iq (quad_user_function, bound, indef_type);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
359 iq.set_options (quad_opts);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
360 val = iq.integrate (ier, nfun, abserr);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
361 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
362 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
363 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
364 if (have_sing)
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
365 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
366 DefQuad dq (quad_user_function, a, b, sing);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
367 dq.set_options (quad_opts);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
368 val = dq.integrate (ier, nfun, abserr);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
369 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
370 else
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
371 {
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
372 DefQuad dq (quad_user_function, a, b);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
373 dq.set_options (quad_opts);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
374 val = dq.integrate (ier, nfun, abserr);
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
375 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
376 }
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
377 break;
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
378
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
379 default:
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
380 panic_impossible ();
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
381 break;
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
382 }
4954
ed0f3cb6d3d4 [project @ 2004-09-01 21:24:53 by jwe]
jwe
parents: 4140
diff changeset
383
20884
f1b2a2dbc0e1 2015 Code Sprint: use ovl () in C++ files.
José Luis García Pallero <jgpallero@gmail.com>
parents: 20853
diff changeset
384 retval = ovl (val, ier, nfun, abserr);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
385 }
20802
8bb38ba1bad6 eliminate return statements after calls to print_usage
John W. Eaton <jwe@octave.org>
parents: 20785
diff changeset
386
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
387 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
388 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
389
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
390 /*
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
391 %!function y = __f (x)
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
392 %! y = x + 1;
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
393 %!endfunction
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
394
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
395 %!test
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
396 %! [v, ier, nfun, err] = quad ("__f", 0, 5);
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
397 %! assert (ier, 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
398 %! assert (v, 17.5, sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
399 %! assert (nfun > 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
400 %! assert (err < sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
401
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
402 %!test
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
403 %! [v, ier, nfun, err] = quad ("__f", single (0), single (5));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
404 %! assert (ier, 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
405 %! assert (v, 17.5, sqrt (eps ("single")));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
406 %! assert (nfun > 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
407 %! assert (err < sqrt (eps ("single")));
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
408
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
409 %!function y = __f (x)
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
410 %! y = x .* sin (1 ./ x) .* sqrt (abs (1 - x));
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
411 %!endfunction
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
412
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
413 %!test
14085
4e8f23ccadce test: Use internal prefix "__" for %!functions to avoid polluting workspace
Rik <octave@nomad.inbox5.com>
parents: 13915
diff changeset
414 %! [v, ier, nfun, err] = quad ("__f", 0.001, 3);
14501
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
415 %! assert (ier == 0 || ier == 1);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
416 %! assert (v, 1.98194120273598, sqrt (eps));
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
417 %! assert (nfun > 0);
60e5cf354d80 Update %!tests in DLD-FUNCTIONS/ directory with Octave coding conventions.
Rik <octave@nomad.inbox5.com>
parents: 14138
diff changeset
418
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
419 %!test
26864
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
420 %! [v, ier, nfun, err] = quad (@__f, 0.001, 3);
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
421 %! assert (ier == 0 || ier == 1);
041caa61ed34 use get_function_handle instead of extract_function
John W. Eaton <jwe@octave.org>
parents: 26376
diff changeset
422 %! assert (v, 1.98194120273598, sqrt (eps));
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423 %! assert (nfun > 0);
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424
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425 %!test
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426 %! fstr = "x .* sin (1 ./ x) .* sqrt (abs (1 - x))";
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427 %! [v, ier, nfun, err] = quad (fstr, 0.001, 3);
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428 %! assert (ier == 0 || ier == 1);
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429 %! assert (v, 1.98194120273598, sqrt (eps));
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430 %! assert (nfun > 0);
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431
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432 %!test
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433 %! anon_fcn = @(x) x .* sin (1 ./ x) .* sqrt (abs (1 - x));
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434 %! [v, ier, nfun, err] = quad (anon_fcn, 0.001, 3);
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435 %! assert (ier == 0 || ier == 1);
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436 %! assert (v, 1.98194120273598, sqrt (eps));
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437 %! assert (nfun > 0);
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438
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439 %!test
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440 %! inline_fcn = inline ("x .* sin (1 ./ x) .* sqrt (abs (1 - x))", "x");
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441 %! [v, ier, nfun, err] = quad (inline_fcn, 0.001, 3);
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442 %! assert (ier == 0 || ier == 1);
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443 %! assert (v, 1.98194120273598, sqrt (eps));
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444 %! assert (nfun > 0);
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445
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446 %!test
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447 %! [v, ier, nfun, err] = quad ("__f", single (0.001), single (3));
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448 %! assert (ier == 0 || ier == 1);
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449 %! assert (v, 1.98194120273598, sqrt (eps ("single")));
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450 %! assert (nfun > 0);
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451
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452 %!error quad ()
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453 %!error quad ("__f", 1, 2, 3, 4, 5)
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454
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455 %!test
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456 %! quad_options ("absolute tolerance", eps);
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457 %! assert (quad_options ("absolute tolerance") == eps);
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458
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459 %!error quad_options (1, 2, 3)
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460 */
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461
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462 OCTAVE_NAMESPACE_END