annotate src/DLD-FUNCTIONS/quad.cc @ 11586:12df7854fa7c

strip trailing whitespace from source files
author John W. Eaton <jwe@octave.org>
date Thu, 20 Jan 2011 17:24:59 -0500
parents 7d6d8c1e471f
children 16cca721117b
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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1 /*
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2
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fd0a3ac60b0e update copyright notices
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3 Copyright (C) 1996-2011 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-dld.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 #define QUAD_ABORT() \
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151 do \
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152 { \
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153 if (fcn_name.length()) \
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154 clear_function (fcn_name); \
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155 return retval; \
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156 } \
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157 while (0)
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158
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159 #define QUAD_ABORT1(msg) \
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160 do \
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161 { \
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162 ::error ("quad: " msg); \
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163 QUAD_ABORT (); \
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164 } \
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165 while (0)
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166
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167 #define QUAD_ABORT2(fmt, arg) \
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168 do \
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169 { \
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170 ::error ("quad: " fmt, arg); \
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171 QUAD_ABORT (); \
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172 } \
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173 while (0)
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174
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175 DEFUN_DLD (quad, args, nargout,
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176 "-*- texinfo -*-\n\
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177 @deftypefn {Loadable Function} {@var{v} =} quad (@var{f}, @var{a}, @var{b})\n\
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178 @deftypefnx {Loadable Function} {@var{v} =} quad (@var{f}, @var{a}, @var{b}, @var{tol})\n\
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179 @deftypefnx {Loadable Function} {@var{v} =} quad (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})\n\
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180 @deftypefnx {Loadable Function} {[@var{v}, @var{ier}, @var{nfun}, @var{err}] =} quad (@dots{})\n\
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181 Integrate a nonlinear function of one variable using @sc{quadpack}.\n\
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182 The first argument is the name of the function, the function handle, or\n\
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183 the inline function to call to compute the value of the integrand. It\n\
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184 must have the form\n\
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185 \n\
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186 @example\n\
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187 y = f (x)\n\
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188 @end example\n\
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189 \n\
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190 @noindent\n\
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191 where @var{y} and @var{x} are scalars.\n\
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192 \n\
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193 The second and third arguments are limits of integration. Either or\n\
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194 both may be infinite.\n\
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195 \n\
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196 The optional argument @var{tol} is a vector that specifies the desired\n\
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197 accuracy of the result. The first element of the vector is the desired\n\
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198 absolute tolerance, and the second element is the desired relative\n\
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199 tolerance. To choose a relative test only, set the absolute\n\
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200 tolerance to zero. To choose an absolute test only, set the relative\n\
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201 tolerance to zero.\n\
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202 \n\
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203 The optional argument @var{sing} is a vector of values at which the\n\
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204 integrand is known to be singular.\n\
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205 \n\
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206 The result of the integration is returned in @var{v}. @var{ier}\n\
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207 contains an integer error code (0 indicates a successful integration).\n\
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208 @var{nfun} indicates the number of function evaluations that were\n\
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209 made, and @var{err} contains an estimate of the error in the\n\
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210 solution.\n\
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211 \n\
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212 The function @code{quad_options} can set other optional\n\
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213 parameters for @code{quad}.\n\
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214 \n\
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215 Note: because @code{quad} is written in Fortran it\n\
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216 cannot be called recursively.\n\
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217 @seealso{quad_options, quadv, quadl, quadgk, quadcc, trapz, dblquad, triplequad}\n\
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218 @end deftypefn")
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219 {
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220 octave_value_list retval;
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221
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222 std::string fcn_name;
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223
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224 warned_imaginary = false;
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225
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226 unwind_protect frame;
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227
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228 frame.protect_var (call_depth);
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229 call_depth++;
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230
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231 if (call_depth > 1)
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232 QUAD_ABORT1 ("invalid recursive call");
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233
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234 int nargin = args.length ();
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235
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236 if (nargin > 2 && nargin < 6 && nargout < 5)
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237 {
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238 if (args(0).is_function_handle () || args(0).is_inline_function ())
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239 quad_fcn = args(0).function_value ();
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240 else
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241 {
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242 fcn_name = unique_symbol_name ("__quad_fcn_");
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243 std::string fname = "function y = ";
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244 fname.append (fcn_name);
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245 fname.append ("(x) y = ");
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246 quad_fcn = extract_function (args(0), "quad", fcn_name, fname,
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247 "; endfunction");
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248 }
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249
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250 if (! quad_fcn)
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251 QUAD_ABORT ();
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252
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253 if (args(1).is_single_type () || args(2).is_single_type ())
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254 {
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255 float a = args(1).float_value ();
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256
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257 if (error_state)
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258 QUAD_ABORT1 ("expecting second argument to be a scalar");
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259
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260 float b = args(2).float_value ();
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261
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262 if (error_state)
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263 QUAD_ABORT1 ("expecting third argument to be a scalar");
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264
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265 int indefinite = 0;
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266 FloatIndefQuad::IntegralType indef_type = FloatIndefQuad::doubly_infinite;
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267 float bound = 0.0;
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268 if (xisinf (a) && xisinf (b))
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269 {
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270 indefinite = 1;
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271 indef_type = FloatIndefQuad::doubly_infinite;
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272 }
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273 else if (xisinf (a))
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274 {
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275 indefinite = 1;
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276 bound = b;
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277 indef_type = FloatIndefQuad::neg_inf_to_bound;
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278 }
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279 else if (xisinf (b))
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280 {
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281 indefinite = 1;
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282 bound = a;
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283 indef_type = FloatIndefQuad::bound_to_inf;
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284 }
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285
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286 octave_idx_type ier = 0;
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287 octave_idx_type nfun = 0;
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288 float abserr = 0.0;
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289 float val = 0.0;
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290 bool have_sing = false;
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291 FloatColumnVector sing;
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292 FloatColumnVector tol;
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293
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294 switch (nargin)
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295 {
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parents: 10066
diff changeset
296 case 5:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
297 if (indefinite)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
298 QUAD_ABORT1 ("singularities not allowed on infinite intervals");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
299
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
300 have_sing = true;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
301
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
302 sing = FloatColumnVector (args(4).float_vector_value ());
3243
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jwe
parents: 3131
diff changeset
303
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
304 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
305 QUAD_ABORT1 ("expecting vector of singularities as fourth argument");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
306
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
307 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
308 tol = FloatColumnVector (args(3).float_vector_value ());
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
309
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
310 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
311 QUAD_ABORT1 ("expecting vector of tolerances as fifth argument");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
312
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
313 switch (tol.capacity ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
314 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
315 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
316 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
317
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
318 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
319 quad_opts.set_single_precision_absolute_tolerance (tol (0));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
320 break;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
321
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
322 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
323 QUAD_ABORT1 ("expecting tol to contain no more than two values");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
324 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
325
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
326 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
327 if (indefinite)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
328 {
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
329 FloatIndefQuad iq (quad_float_user_function, bound,
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
330 indef_type);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
331 iq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
332 val = iq.float_integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
333 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
334 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
335 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
336 if (have_sing)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
337 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
338 FloatDefQuad dq (quad_float_user_function, a, b, sing);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
339 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
340 val = dq.float_integrate (ier, nfun, abserr);
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 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
343 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
344 FloatDefQuad dq (quad_float_user_function, a, b);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
345 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
346 val = dq.float_integrate (ier, nfun, abserr);
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 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
349 break;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
350
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
351 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
352 panic_impossible ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
353 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
354 }
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
355
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
356 retval(3) = abserr;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
357 retval(2) = nfun;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
358 retval(1) = ier;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
359 retval(0) = val;
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 }
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
362 else
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
363 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
364 double a = args(1).double_value ();
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
365
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
366 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
367 QUAD_ABORT1 ("expecting second argument to be a scalar");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
368
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
369 double b = args(2).double_value ();
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 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
372 QUAD_ABORT1 ("expecting third argument to be a scalar");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
373
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
374 int indefinite = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
375 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
376 double bound = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
377 if (xisinf (a) && xisinf (b))
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
378 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
379 indefinite = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
380 indef_type = IndefQuad::doubly_infinite;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
381 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
382 else if (xisinf (a))
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
383 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
384 indefinite = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
385 bound = b;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
386 indef_type = IndefQuad::neg_inf_to_bound;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
387 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
388 else if (xisinf (b))
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 indefinite = 1;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
391 bound = a;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
392 indef_type = IndefQuad::bound_to_inf;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
393 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
394
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
395 octave_idx_type ier = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
396 octave_idx_type nfun = 0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
397 double abserr = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
398 double val = 0.0;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
399 bool have_sing = false;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
400 ColumnVector sing;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
401 ColumnVector tol;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
402
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
403 switch (nargin)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
404 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
405 case 5:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
406 if (indefinite)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
407 QUAD_ABORT1 ("singularities not allowed on infinite intervals");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
408
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
409 have_sing = true;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
410
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
411 sing = ColumnVector (args(4).vector_value ());
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
412
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
413 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
414 QUAD_ABORT1 ("expecting vector of singularities as fourth argument");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
415
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
416 case 4:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
417 tol = ColumnVector (args(3).vector_value ());
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
418
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
419 if (error_state)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
420 QUAD_ABORT1 ("expecting vector of tolerances as fifth argument");
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
421
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
422 switch (tol.capacity ())
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
423 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
424 case 2:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
425 quad_opts.set_relative_tolerance (tol (1));
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
426
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
427 case 1:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
428 quad_opts.set_absolute_tolerance (tol (0));
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
429 break;
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
430
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
431 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
432 QUAD_ABORT1 ("expecting tol to contain no more than two values");
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
433 }
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
434
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
435 case 3:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
436 if (indefinite)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
437 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
438 IndefQuad iq (quad_user_function, bound, indef_type);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
439 iq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
440 val = iq.integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
441 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
442 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
443 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
444 if (have_sing)
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
445 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
446 DefQuad dq (quad_user_function, a, b, sing);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
447 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
448 val = dq.integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
449 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
450 else
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
451 {
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
452 DefQuad dq (quad_user_function, a, b);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
453 dq.set_options (quad_opts);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
454 val = dq.integrate (ier, nfun, abserr);
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
455 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
456 }
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
457 break;
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
458
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
459 default:
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
460 panic_impossible ();
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
461 break;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
462 }
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
463
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
464 retval(3) = abserr;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
465 retval(2) = nfun;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
466 retval(1) = ier;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
467 retval(0) = val;
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
468 }
4954
ed0f3cb6d3d4 [project @ 2004-09-01 21:24:53 by jwe]
jwe
parents: 4140
diff changeset
469
ed0f3cb6d3d4 [project @ 2004-09-01 21:24:53 by jwe]
jwe
parents: 4140
diff changeset
470 if (fcn_name.length())
10154
40dfc0c99116 DLD-FUNCTIONS/*.cc: untabify
John W. Eaton <jwe@octave.org>
parents: 10066
diff changeset
471 clear_function (fcn_name);
3243
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
472 }
dd00769643ae [project @ 1999-05-28 04:19:00 by jwe]
jwe
parents: 3131
diff changeset
473 else
5823
080c08b192d8 [project @ 2006-05-19 05:32:17 by jwe]
jwe
parents: 5775
diff changeset
474 print_usage ();
2928
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
475
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
476 return retval;
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
477 }
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
478
295f037b4b3e [project @ 1997-05-05 05:32:33 by jwe]
jwe
parents:
diff changeset
479 /*
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
480
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
481 %!function y = f (x)
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
482 %! y = x + 1;
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
483 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
484 %! [v, ier, nfun, err] = quad ("f", 0, 5);
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
485 %! assert(ier == 0 && abs (v - 17.5) < sqrt (eps) && nfun > 0 &&
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
486 %! err < sqrt (eps))
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
487 %!test
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
488 %! [v, ier, nfun, err] = quad ("f", single(0), single(5));
11586
12df7854fa7c strip trailing whitespace from source files
John W. Eaton <jwe@octave.org>
parents: 11572
diff changeset
489 %! assert(ier == 0 && abs (v - 17.5) < sqrt (eps ("single")) && nfun > 0 &&
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
490 %! err < sqrt (eps ("single")))
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
491
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
492 %!function y = f (x)
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
493 %! y = x .* sin (1 ./ x) .* sqrt (abs (1 - x));
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
494 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
495 %! [v, ier, nfun, err] = quad ("f", 0.001, 3);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
496 %! assert((ier == 0 || ier == 1) && abs (v - 1.98194120273598) < sqrt (eps) && nfun > 0);
7805
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
497 %!test
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
498 %! [v, ier, nfun, err] = quad ("f", single(0.001), single(3));
62affb34e648 Make quad work with single precision
David Bateman <dbateman@free.fr>
parents: 7562
diff changeset
499 %! assert((ier == 0 || ier == 1) && abs (v - 1.98194120273598) < sqrt (eps ("single")) && nfun > 0);
7562
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
500
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
501 %!error <Invalid call to quad.*> quad ();
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
502
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
503 %!error <Invalid call to quad.*> quad ("f", 1, 2, 3, 4, 5);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
504
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
505 %!test
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
506 %! quad_options ("absolute tolerance", eps);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
507 %! assert(quad_options ("absolute tolerance") == eps);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
508
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
509 %!error <Invalid call to quad_options.*> quad_options (1, 2, 3);
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
510
c827f5673321 move tests to individual source files
John W. Eaton <jwe@octave.org>
parents: 7017
diff changeset
511 */