annotate libinterp/corefcn/quad.cc @ 20711:7b608fadc663

Make error messages more specific about the variable and problem encountered. * besselj.cc, bitfcns.cc, colloc.cc, daspk.cc, dasrt.cc, dassl.cc, data.cc, dirfns.cc, ellipj.cc, error.cc, gl-render.cc, graphics.cc, graphics.in.h, load-path.cc, lsode.cc, lu.cc, luinc.cc, oct-hist.cc, oct-obj.cc, octave-link.cc, quad.cc, rand.cc, symtab.cc, sysdep.cc, toplev.cc, utils.cc, variables.cc, __init_fltk__.cc, chol.cc, fftw.cc, ov-cell.cc, ov-ch-mat.cc, ov-class.cc, ov-classdef.cc, ov-cx-mat.cc, ov-fcn-inline.cc, ov-struct.cc, ov-usr-fcn.cc, CMatrix.cc, dMatrix.cc, fCMatrix.cc, fMatrix.cc, lo-specfun.cc, curl.m, divergence.m, __fltk_file_filter__.m, __uiobject_split_args__.m, uigetfile.m, doc.m, imshow.m, rref.m, subspace.m, edit.m, fileattrib.m, open.m, substruct.m, annotation.m, axis.m, caxis.m, datetick.m, hidden.m, legend.m, whitebg.m, colorbar.m, __add_datasource__.m, __ezplot__.m, __pie__.m, __plt_get_axis_arg__.m, pan.m, __print_parse_opts__.m, rotate3d.m, subplot.m, zoom.m, compan.m, addpref.m, getpref.m, setpref.m, powerset.m, bicg.m, bicgstab.m, cgs.m, qmr.m, spaugment.m, pascal.m, moment.m, cstrcat.m, system.tst: Make error messages more specific about the variable and problem encountered.
author Rik <rik@octave.org>
date Wed, 18 Nov 2015 10:40:26 -0800
parents a2a99aaf680b
children 7164a69472dd
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1 /*
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2
19697
4197fc428c7d maint: Update copyright notices for 2015.
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3 Copyright (C) 1996-2015 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 <string>
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28
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29 #include <iomanip>
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30 #include <iostream>
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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 "gripes.h"
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38 #include "pager.h"
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39 #include "oct-obj.h"
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40 #include "ov-fcn.h"
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41 #include "unwind-prot.h"
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42 #include "utils.h"
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43 #include "variables.h"
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44
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45 #include "Quad-opts.cc"
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46
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47 #if defined (quad)
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48 #undef quad
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49 #endif
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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_function *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 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)
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69 {
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70 octave_value_list tmp = quad_fcn->do_multi_index_op (1, args);
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71
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72 if (error_state)
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73 {
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74 quad_integration_error = 1; // FIXME
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75 gripe_user_supplied_eval ("quad");
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76 return retval;
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77 }
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78
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79 if (tmp.length () && tmp(0).is_defined ())
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80 {
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81 if (! warned_imaginary && tmp(0).is_complex_type ())
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82 {
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83 warning ("quad: ignoring imaginary part returned from user-supplied function");
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84 warned_imaginary = true;
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85 }
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86
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87 retval = tmp(0).double_value ();
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88
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89 if (error_state)
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90 {
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91 quad_integration_error = 1; // FIXME
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92 gripe_user_supplied_eval ("quad");
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93 }
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94 }
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95 else
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96 {
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97 quad_integration_error = 1; // FIXME
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98 gripe_user_supplied_eval ("quad");
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99 }
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100 }
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101
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102 return retval;
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103 }
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104
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105 float
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106 quad_float_user_function (float x)
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107 {
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108 float retval = 0.0;
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109
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110 octave_value_list args;
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111 args(0) = x;
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112
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113 if (quad_fcn)
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114 {
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115 octave_value_list tmp = quad_fcn->do_multi_index_op (1, args);
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116
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117 if (error_state)
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118 {
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119 quad_integration_error = 1; // FIXME
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120 gripe_user_supplied_eval ("quad");
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121 return retval;
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122 }
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123
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124 if (tmp.length () && tmp(0).is_defined ())
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125 {
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126 if (! warned_imaginary && tmp(0).is_complex_type ())
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127 {
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128 warning ("quad: ignoring imaginary part returned from user-supplied function");
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129 warned_imaginary = true;
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130 }
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131
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132 retval = tmp(0).float_value ();
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133
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134 if (error_state)
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135 {
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136 quad_integration_error = 1; // FIXME
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137 gripe_user_supplied_eval ("quad");
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138 }
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139 }
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140 else
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141 {
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142 quad_integration_error = 1; // FIXME
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143 gripe_user_supplied_eval ("quad");
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144 }
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145 }
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146
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147 return retval;
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148 }
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149
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150 DEFUN (quad, args, nargout,
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151 "-*- texinfo -*-\n\
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152 @deftypefn {Built-in Function} {@var{q} =} quad (@var{f}, @var{a}, @var{b})\n\
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153 @deftypefnx {Built-in Function} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol})\n\
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154 @deftypefnx {Built-in Function} {@var{q} =} quad (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})\n\
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155 @deftypefnx {Built-in Function} {[@var{q}, @var{ier}, @var{nfun}, @var{err}] =} quad (@dots{})\n\
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156 Numerically evaluate the integral of @var{f} from @var{a} to @var{b} using\n\
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157 Fortran routines from @w{@sc{quadpack}}.\n\
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158 \n\
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159 @var{f} is a function handle, inline function, or a string containing the\n\
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160 name of the function to evaluate. The function must have the form @code{y =\n\
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161 f (x)} where @var{y} and @var{x} are scalars.\n\
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162 \n\
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163 @var{a} and @var{b} are the lower and upper limits of integration. Either\n\
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164 or both may be infinite.\n\
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165 \n\
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166 The optional argument @var{tol} is a vector that specifies the desired\n\
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167 accuracy of the result. The first element of the vector is the desired\n\
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168 absolute tolerance, and the second element is the desired relative\n\
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169 tolerance. To choose a relative test only, set the absolute\n\
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170 tolerance to zero. To choose an absolute test only, set the relative\n\
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171 tolerance to zero. Both tolerances default to @code{sqrt (eps)} or\n\
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172 approximately @math{1.5e^{-8}}.\n\
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173 \n\
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174 The optional argument @var{sing} is a vector of values at which the\n\
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175 integrand is known to be singular.\n\
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176 \n\
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177 The result of the integration is returned in @var{q}.\n\
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178 \n\
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179 @var{ier} contains an integer error code (0 indicates a successful\n\
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180 integration).\n\
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181 \n\
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182 @var{nfun} indicates the number of function evaluations that were\n\
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183 made.\n\
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184 \n\
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185 @var{err} contains an estimate of the error in the solution.\n\
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186 \n\
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187 The function @code{quad_options} can set other optional parameters for\n\
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188 @code{quad}.\n\
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189 \n\
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190 Note: because @code{quad} is written in Fortran it cannot be called\n\
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191 recursively. This prevents its use in integrating over more than one\n\
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192 variable by routines @code{dblquad} and @code{triplequad}.\n\
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193 @seealso{quad_options, quadv, quadl, quadgk, quadcc, trapz, dblquad, triplequad}\n\
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194 @end deftypefn")
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195 {
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196 octave_value_list retval;
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197
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198 std::string fcn_name;
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199
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200 warned_imaginary = false;
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201
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202 unwind_protect frame;
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203
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204 frame.protect_var (call_depth);
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205 call_depth++;
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206
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207 if (call_depth > 1)
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208 error ("quad: invalid recursive call");
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209
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210 int nargin = args.length ();
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211
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212 if (nargin > 2 && nargin < 6 && nargout < 5)
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213 {
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214 if (args(0).is_function_handle () || args(0).is_inline_function ())
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215 quad_fcn = args(0).function_value ();
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216 else
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217 {
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218 fcn_name = unique_symbol_name ("__quad_fcn__");
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219 std::string fname = "function y = ";
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220 fname.append (fcn_name);
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221 fname.append ("(x) y = ");
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222 quad_fcn = extract_function (args(0), "quad", fcn_name, fname,
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223 "; endfunction");
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224 frame.add_fcn (clear_function, fcn_name);
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225 }
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226
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227 if (! quad_fcn)
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228 error ("quad: FCN argument is not a valid function name or handle");
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229
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230 if (args(1).is_single_type () || args(2).is_single_type ())
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231 {
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232 float a = args(1).xfloat_value ("quad: lower limit of integration A must be a scalar");
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233 float b = args(2).xfloat_value ("quad: upper limit of integration B must be a scalar");
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234
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235 int indefinite = 0;
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236 FloatIndefQuad::IntegralType indef_type
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237 = FloatIndefQuad::doubly_infinite;
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238 float bound = 0.0;
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239 if (xisinf (a) && xisinf (b))
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240 {
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241 indefinite = 1;
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242 indef_type = FloatIndefQuad::doubly_infinite;
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243 }
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244 else if (xisinf (a))
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245 {
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246 indefinite = 1;
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247 bound = b;
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248 indef_type = FloatIndefQuad::neg_inf_to_bound;
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249 }
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250 else if (xisinf (b))
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251 {
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252 indefinite = 1;
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253 bound = a;
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254 indef_type = FloatIndefQuad::bound_to_inf;
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255 }
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256
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257 octave_idx_type ier = 0;
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258 octave_idx_type nfun = 0;
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259 float abserr = 0.0;
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260 float val = 0.0;
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261 bool have_sing = false;
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262 FloatColumnVector sing;
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263 FloatColumnVector tol;
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264
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265 switch (nargin)
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266 {
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267 case 5:
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268 if (indefinite)
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269 error ("quad: singularities not allowed on infinite intervals");
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270
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271 have_sing = true;
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272
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273 sing = args(4).xfloat_vector_value ("quad: fifth argument SING must be a vector vector of singularities");
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274
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275 case 4:
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276 tol = args(3).xfloat_vector_value ("quad: TOL must be a 1 or 2-element vector");
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277
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278 switch (tol.numel ())
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279 {
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280 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
281 quad_opts.set_single_precision_relative_tolerance (tol (1));
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
282
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
283 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
284 quad_opts.set_single_precision_absolute_tolerance (tol (0));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
285 break;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
286
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
287 default:
20711
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20709
diff changeset
288 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
289 }
3243
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jwe
parents: 3131
diff changeset
290
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
291 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
292 if (indefinite)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
293 {
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
294 FloatIndefQuad iq (quad_float_user_function, bound,
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
295 indef_type);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
296 iq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
297 val = iq.float_integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
298 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
299 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
300 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
301 if (have_sing)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
302 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
303 FloatDefQuad dq (quad_float_user_function, a, b, sing);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
304 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
305 val = dq.float_integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
306 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
307 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
308 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
309 FloatDefQuad dq (quad_float_user_function, a, b);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
310 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
311 val = dq.float_integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
312 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
313 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
314 break;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
315
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
316 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
317 panic_impossible ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
318 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
319 }
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
320
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
321 retval(3) = abserr;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
322 retval(2) = nfun;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
323 retval(1) = ier;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
324 retval(0) = val;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
325
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
326 }
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
327 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
328 {
20711
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20709
diff changeset
329 double a = args(1).xdouble_value ("quad: lower limit of integration A must be a scalar");
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20709
diff changeset
330 double b = args(2).xdouble_value ("quad: upper limit of integration B must be a scalar");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
331
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
332 int indefinite = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
333 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
334 double bound = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
335 if (xisinf (a) && xisinf (b))
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
336 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
337 indefinite = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
338 indef_type = IndefQuad::doubly_infinite;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
339 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
340 else if (xisinf (a))
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
341 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
342 indefinite = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
343 bound = b;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
344 indef_type = IndefQuad::neg_inf_to_bound;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
345 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
346 else if (xisinf (b))
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
347 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
348 indefinite = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
349 bound = a;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
350 indef_type = IndefQuad::bound_to_inf;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
351 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
352
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
353 octave_idx_type ier = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
354 octave_idx_type nfun = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
355 double abserr = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
356 double val = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
357 bool have_sing = false;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
358 ColumnVector sing;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
359 ColumnVector tol;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
360
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
361 switch (nargin)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
362 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
363 case 5:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
364 if (indefinite)
20709
a2a99aaf680b eliminate more uses of error_state
John W. Eaton <jwe@octave.org>
parents: 20687
diff changeset
365 error ("quad: singularities not allowed on infinite intervals");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
366
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
367 have_sing = true;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
368
20711
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20709
diff changeset
369 sing = args(4).vector_value ("quad: fifth argument SING must be a vector vector of singularities");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
370
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
371 case 4:
20711
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20709
diff changeset
372 tol = args(3).xvector_value ("quad: TOL must be a 1 or 2-element vector");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
373
20229
5dfaaaae784f Deprecate Array::capacity() and Sparse::capacity() for numel() and nzmax().
Carnë Draug <carandraug@octave.org>
parents: 20172
diff changeset
374 switch (tol.numel ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
375 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
376 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
377 quad_opts.set_relative_tolerance (tol (1));
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
378
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
379 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
380 quad_opts.set_absolute_tolerance (tol (0));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
381 break;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
382
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
383 default:
20711
7b608fadc663 Make error messages more specific about the variable and problem encountered.
Rik <rik@octave.org>
parents: 20709
diff changeset
384 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
385 }
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
386
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
387 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
388 if (indefinite)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
389 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
390 IndefQuad iq (quad_user_function, bound, indef_type);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
391 iq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
392 val = iq.integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
393 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
394 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
395 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
396 if (have_sing)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
397 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
398 DefQuad dq (quad_user_function, a, b, sing);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
399 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
400 val = dq.integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
401 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
402 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
403 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
404 DefQuad dq (quad_user_function, a, b);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
405 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
406 val = dq.integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
407 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
408 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
409 break;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
410
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
411 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
412 panic_impossible ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
413 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
414 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
415
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
416 retval(3) = abserr;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
417 retval(2) = nfun;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
418 retval(1) = ier;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
419 retval(0) = val;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
420 }
4954
ed0f3cb6d3d4 [project @ 2004-09-01 21:24:53 by jwe]
jwe
parents: 4140
diff changeset
421
14846
460a3c6d8bf1 maint: Use Octave coding convention for cuddled parenthis in function calls with empty argument lists.
Rik <octave@nomad.inbox5.com>
parents: 14501
diff changeset
422 if (fcn_name.length ())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
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423 clear_function (fcn_name);
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dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
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424 }
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
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425 else
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426 print_usage ();
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427
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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428 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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429 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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430
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
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431 /*
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432 %!function y = __f (x)
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433 %! y = x + 1;
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434 %!endfunction
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435
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436 %!test
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437 %! [v, ier, nfun, err] = quad ("__f", 0, 5);
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438 %! assert (ier, 0);
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439 %! assert (v, 17.5, sqrt (eps));
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440 %! assert (nfun > 0);
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441 %! assert (err < sqrt (eps));
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442
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443 %!test
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444 %! [v, ier, nfun, err] = quad ("__f", single (0), single (5));
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445 %! assert (ier, 0);
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446 %! assert (v, 17.5, sqrt (eps ("single")));
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447 %! assert (nfun > 0);
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448 %! assert (err < sqrt (eps ("single")));
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449
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450 %!function y = __f (x)
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451 %! y = x .* sin (1 ./ x) .* sqrt (abs (1 - x));
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452 %!endfunction
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453
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454 %!test
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455 %! [v, ier, nfun, err] = quad ("__f", 0.001, 3);
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456 %! assert (ier == 0 || ier == 1);
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457 %! assert (v, 1.98194120273598, sqrt (eps));
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458 %! assert (nfun > 0);
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459
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460 %!test
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461 %! [v, ier, nfun, err] = quad ("__f", single (0.001), single (3));
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462 %! assert (ier == 0 || ier == 1);
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463 %! assert (v, 1.98194120273598, sqrt (eps ("single")));
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464 %! assert (nfun > 0);
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465
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466 %!error quad ()
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467 %!error quad ("__f", 1, 2, 3, 4, 5)
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468
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469 %!test
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470 %! quad_options ("absolute tolerance", eps);
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471 %! assert (quad_options ("absolute tolerance") == eps);
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472
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473 %!error quad_options (1, 2, 3)
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474 */