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1 /* |
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2 |
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3 Copyright (C) 1996, 1997 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 2, or (at your option) any |
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10 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, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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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 #if defined (quad) |
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46 #undef quad |
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47 #endif |
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48 |
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49 // Global pointer for user defined function required by quadrature functions. |
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50 static octave_function *quad_fcn; |
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51 |
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52 static Quad_options quad_opts; |
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53 |
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54 // Is this a recursive call? |
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55 static int call_depth = 0; |
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56 |
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57 double |
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58 quad_user_function (double x) |
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59 { |
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60 double retval = 0.0; |
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61 |
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62 octave_value_list args; |
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63 args(0) = x; |
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64 |
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65 if (quad_fcn) |
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66 { |
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67 octave_value_list tmp = quad_fcn->do_multi_index_op (1, args); |
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68 |
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69 if (error_state) |
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70 { |
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71 quad_integration_error = 1; // XXX FIXME XXX |
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72 gripe_user_supplied_eval ("quad"); |
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73 return retval; |
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74 } |
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75 |
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76 if (tmp.length () && tmp(0).is_defined ()) |
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77 { |
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78 retval = tmp(0).double_value (); |
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79 |
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80 if (error_state) |
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81 { |
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82 quad_integration_error = 1; // XXX FIXME XXX |
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83 gripe_user_supplied_eval ("quad"); |
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84 } |
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85 } |
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86 else |
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87 { |
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88 quad_integration_error = 1; // XXX FIXME XXX |
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89 gripe_user_supplied_eval ("quad"); |
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90 } |
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91 } |
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92 |
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93 return retval; |
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94 } |
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95 |
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96 #define QUAD_ABORT() \ |
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97 do \ |
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98 { \ |
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99 unwind_protect::run_frame ("Fquad"); \ |
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100 return retval; \ |
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101 } \ |
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102 while (0) |
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103 |
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104 #define QUAD_ABORT1(msg) \ |
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105 do \ |
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106 { \ |
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107 ::error ("quad: " ## msg); \ |
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108 QUAD_ABORT (); \ |
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109 } \ |
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110 while (0) |
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111 |
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112 #define QUAD_ABORT2(fmt, arg) \ |
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113 do \ |
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114 { \ |
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115 ::error ("quad: " ## fmt, arg); \ |
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116 QUAD_ABORT (); \ |
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117 } \ |
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118 while (0) |
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119 |
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120 DEFUN_DLD (quad, args, nargout, |
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121 "-*- texinfo -*-\n\ |
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122 @deftypefn {Loadable Function} {[@var{v}, @var{ier}, @var{nfun}, @var{err}] =} quad (@var{f}, @var{a}, @var{b}, @var{tol}, @var{sing})\n\ |
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123 Integrate a nonlinear function of one variable using Quadpack.\n\ |
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124 The first argument is the name of the function to call to compute the\n\ |
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125 value of the integrand. It must have the form\n\ |
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126 \n\ |
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127 @example\n\ |
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128 y = f (x)\n\ |
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129 @end example\n\ |
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130 \n\ |
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131 @noindent\n\ |
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132 where @var{y} and @var{x} are scalars.\n\ |
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133 \n\ |
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134 The second and third arguments are limits of integration. Either or\n\ |
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135 both may be infinite.\n\ |
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136 \n\ |
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137 The optional argument @var{tol} is a vector that specifies the desired\n\ |
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138 accuracy of the result. The first element of the vector is the desired\n\ |
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139 absolute tolerance, and the second element is the desired relative\n\ |
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140 tolerance. To choose a relative test only, set the absolute\n\ |
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141 tolerance to zero. To choose an absolute test only, set the relative\n\ |
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142 tolerance to zero. \n\ |
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143 \n\ |
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144 The optional argument @var{sing} is a vector of values at which the\n\ |
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145 integrand is known to be singular.\n\ |
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146 \n\ |
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147 The result of the integration is returned in @var{v} and @var{ier}\n\ |
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148 contains an integer error code (0 indicates a successful integration).\n\ |
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149 The value of @var{nfun} indicates how many function evaluations were\n\ |
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150 required, and @var{err} contains an estimate of the error in the\n\ |
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151 solution.\n\ |
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152 @end deftypefn") |
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153 { |
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154 octave_value_list retval; |
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155 |
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156 unwind_protect::begin_frame ("Fquad"); |
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157 |
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158 unwind_protect_int (call_depth); |
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159 call_depth++; |
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160 |
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161 if (call_depth > 1) |
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162 QUAD_ABORT1 ("invalid recursive call"); |
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163 |
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164 int nargin = args.length (); |
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165 |
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166 if (nargin > 2 && nargin < 6 && nargout < 5) |
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167 { |
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168 quad_fcn = extract_function (args(0), "quad", "__quad_fcn__", |
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169 "function y = __quad_fcn__ (x) y = ", |
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170 "; endfunction"); |
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171 if (! quad_fcn) |
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172 QUAD_ABORT (); |
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173 |
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174 double a = args(1).double_value (); |
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175 |
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176 if (error_state) |
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177 QUAD_ABORT1 ("expecting second argument to be a scalar"); |
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178 |
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179 double b = args(2).double_value (); |
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180 |
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181 if (error_state) |
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182 QUAD_ABORT1 ("expecting third argument to be a scalar"); |
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183 |
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184 int indefinite = 0; |
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185 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite; |
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186 double bound = 0.0; |
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187 if (xisinf (a) && xisinf (b)) |
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188 { |
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189 indefinite = 1; |
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190 indef_type = IndefQuad::doubly_infinite; |
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191 } |
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192 else if (xisinf (a)) |
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193 { |
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194 indefinite = 1; |
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195 bound = b; |
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196 indef_type = IndefQuad::neg_inf_to_bound; |
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197 } |
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198 else if (xisinf (b)) |
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199 { |
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200 indefinite = 1; |
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201 bound = a; |
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202 indef_type = IndefQuad::bound_to_inf; |
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203 } |
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204 |
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205 int ier = 0; |
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206 int nfun = 0; |
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207 double abserr = 0.0; |
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208 double val = 0.0; |
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209 double abstol = 1e-6; |
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210 double reltol = 1e-6; |
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211 ColumnVector tol (2); |
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212 ColumnVector sing; |
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213 int have_sing = 0; |
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214 switch (nargin) |
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215 { |
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216 case 5: |
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217 if (indefinite) |
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218 QUAD_ABORT1 ("singularities not allowed on infinite intervals"); |
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219 |
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220 have_sing = 1; |
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221 |
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222 sing = ColumnVector (args(4).vector_value ()); |
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223 |
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224 if (error_state) |
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225 QUAD_ABORT1 ("expecting vector of singularities as fourth argument"); |
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226 |
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227 case 4: |
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228 tol = ColumnVector (args(3).vector_value ()); |
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229 |
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230 if (error_state) |
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231 QUAD_ABORT1 ("expecting vector of tolerances as fifth argument"); |
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232 |
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233 switch (tol.capacity ()) |
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234 { |
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235 case 2: |
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236 reltol = tol (1); |
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237 |
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238 case 1: |
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239 abstol = tol (0); |
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240 break; |
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241 |
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242 default: |
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243 QUAD_ABORT1 ("expecting tol to contain no more than two values"); |
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244 } |
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245 |
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246 case 3: |
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247 if (indefinite) |
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248 { |
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249 IndefQuad iq (quad_user_function, bound, indef_type, abstol, reltol); |
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250 iq.set_options (quad_opts); |
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251 val = iq.integrate (ier, nfun, abserr); |
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252 } |
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253 else |
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254 { |
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255 if (have_sing) |
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256 { |
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257 DefQuad dq (quad_user_function, a, b, sing, abstol, reltol); |
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258 dq.set_options (quad_opts); |
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259 val = dq.integrate (ier, nfun, abserr); |
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260 } |
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261 else |
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262 { |
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263 DefQuad dq (quad_user_function, a, b, abstol, reltol); |
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264 dq.set_options (quad_opts); |
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265 val = dq.integrate (ier, nfun, abserr); |
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266 } |
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267 } |
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268 break; |
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269 |
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270 default: |
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271 panic_impossible (); |
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272 break; |
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273 } |
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274 |
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275 retval(3) = abserr; |
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276 retval(2) = static_cast<double> (nfun); |
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277 retval(1) = static_cast<double> (ier); |
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278 retval(0) = val; |
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279 } |
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280 else |
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281 print_usage ("quad"); |
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282 |
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283 unwind_protect::run_frame ("Fquad"); |
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284 |
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285 return retval; |
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286 } |
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287 |
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288 typedef void (Quad_options::*d_set_opt_mf) (double); |
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289 typedef double (Quad_options::*d_get_opt_mf) (void); |
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290 |
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291 #define MAX_TOKENS 2 |
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292 |
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293 struct QUAD_OPTIONS |
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294 { |
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295 const char *keyword; |
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296 const char *kw_tok[MAX_TOKENS + 1]; |
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297 int min_len[MAX_TOKENS + 1]; |
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298 int min_toks_to_match; |
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299 d_set_opt_mf d_set_fcn; |
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300 d_get_opt_mf d_get_fcn; |
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301 }; |
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302 |
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303 static QUAD_OPTIONS quad_option_table [] = |
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304 { |
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305 { "absolute tolerance", |
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306 { "absolute", "tolerance", 0, }, |
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307 { 1, 0, 0, }, 1, |
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308 &Quad_options::set_absolute_tolerance, |
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309 &Quad_options::absolute_tolerance, }, |
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310 |
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311 { "relative tolerance", |
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312 { "relative", "tolerance", 0, }, |
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313 { 1, 0, 0, }, 1, |
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314 &Quad_options::set_relative_tolerance, |
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315 &Quad_options::relative_tolerance, }, |
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316 |
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317 { 0, |
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318 { 0, 0, 0, }, |
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319 { 0, 0, 0, }, 0, |
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320 0, 0, }, |
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321 }; |
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322 |
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323 static void |
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324 print_quad_option_list (std::ostream& os) |
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325 { |
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326 print_usage ("quad_options", 1); |
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327 |
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328 os << "\n" |
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329 << "Options for quad include:\n\n" |
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330 << " keyword value\n" |
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331 << " ------- -----\n\n"; |
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332 |
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333 QUAD_OPTIONS *list = quad_option_table; |
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334 |
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335 const char *keyword; |
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336 while ((keyword = list->keyword) != 0) |
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337 { |
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338 os << std::setw (40) |
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339 << std::setfill (' ') |
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340 << std::setiosflags (std::ios::left) |
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341 << " " << keyword << " " |
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342 << std::resetiosflags (std::ios::left); |
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343 |
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344 double val = (quad_opts.*list->d_get_fcn) (); |
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345 if (val < 0.0) |
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346 os << "computed automatically"; |
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347 else |
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348 os << val; |
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349 |
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350 os << "\n"; |
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351 list++; |
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352 } |
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353 |
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354 os << "\n"; |
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355 } |
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356 |
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357 static void |
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358 set_quad_option (const std::string& keyword, double val) |
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359 { |
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360 QUAD_OPTIONS *list = quad_option_table; |
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361 |
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362 while (list->keyword != 0) |
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363 { |
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364 if (keyword_almost_match (list->kw_tok, list->min_len, keyword, |
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365 list->min_toks_to_match, MAX_TOKENS)) |
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366 { |
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367 (quad_opts.*list->d_set_fcn) (val); |
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368 |
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369 return; |
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370 } |
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371 list++; |
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372 } |
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373 |
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374 warning ("quad_options: no match for `%s'", keyword.c_str ()); |
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375 } |
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376 |
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377 static octave_value_list |
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378 show_quad_option (const std::string& keyword) |
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379 { |
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380 octave_value retval; |
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381 |
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382 QUAD_OPTIONS *list = quad_option_table; |
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383 |
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384 while (list->keyword != 0) |
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385 { |
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386 if (keyword_almost_match (list->kw_tok, list->min_len, keyword, |
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387 list->min_toks_to_match, MAX_TOKENS)) |
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388 { |
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389 return (quad_opts.*list->d_get_fcn) (); |
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390 } |
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391 list++; |
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392 } |
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393 |
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394 warning ("quad_options: no match for `%s'", keyword.c_str ()); |
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395 |
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396 return retval; |
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397 } |
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398 |
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399 DEFUN_DLD (quad_options, args, , |
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400 "-*- texinfo -*-\n\ |
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401 @deftypefn {Loadable Function} {} quad_options (@var{opt}, @var{val})\n\ |
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402 When called with two arguments, this function allows you set options\n\ |
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403 parameters for the function @code{quad}. Given one argument,\n\ |
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404 @code{quad_options} returns the value of the corresponding option. If\n\ |
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405 no arguments are supplied, the names of all the available options and\n\ |
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406 their current values are displayed.\n\ |
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407 @end deftypefn") |
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408 { |
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409 octave_value_list retval; |
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410 |
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411 int nargin = args.length (); |
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412 |
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413 if (nargin == 0) |
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414 { |
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415 print_quad_option_list (octave_stdout); |
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416 return retval; |
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417 } |
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418 else if (nargin == 1 || nargin == 2) |
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419 { |
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420 std::string keyword = args(0).string_value (); |
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421 |
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422 if (! error_state) |
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423 { |
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424 if (nargin == 1) |
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425 return show_quad_option (keyword); |
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426 else |
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427 { |
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428 double val = args(1).double_value (); |
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429 |
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430 if (! error_state) |
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431 { |
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432 set_quad_option (keyword, val); |
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433 return retval; |
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434 } |
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435 } |
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436 } |
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437 } |
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438 |
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439 print_usage ("quad_options"); |
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440 |
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441 return retval; |
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442 } |
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443 |
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444 /* |
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445 ;;; Local Variables: *** |
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446 ;;; mode: C++ *** |
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447 ;;; End: *** |
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448 */ |
