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1 // f-quad.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1993, 1994, 1995 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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240
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24 #ifdef HAVE_CONFIG_H |
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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include <strstream.h> |
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29 |
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30 #include "Quad.h" |
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31 |
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32 #include "tree-const.h" |
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33 #include "variables.h" |
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34 #include "mappers.h" |
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35 #include "gripes.h" |
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36 #include "error.h" |
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37 #include "utils.h" |
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289
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38 #include "pager.h" |
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544
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39 #include "help.h" |
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519
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40 #include "defun-dld.h" |
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41 |
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42 // Global pointer for user defined function required by quadrature functions. |
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43 static tree_fvc *quad_fcn; |
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44 |
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289
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45 static Quad_options quad_opts; |
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46 |
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47 double |
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48 quad_user_function (double x) |
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49 { |
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50 double retval = 0.0; |
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51 |
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52 Octave_object args; |
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53 args(0) = x; |
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54 |
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55 if (quad_fcn) |
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56 { |
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57 Octave_object tmp = quad_fcn->eval (0, 1, args); |
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260
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58 |
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59 if (error_state) |
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60 { |
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61 quad_integration_error = 1; // XXX FIXME XXX |
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62 gripe_user_supplied_eval ("quad"); |
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63 return retval; |
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64 } |
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65 |
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66 if (tmp.length () && tmp(0).is_defined ()) |
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67 { |
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68 retval = tmp(0).double_value (); |
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69 |
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70 if (error_state) |
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71 { |
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72 quad_integration_error = 1; // XXX FIXME XXX |
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73 gripe_user_supplied_eval ("quad"); |
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74 } |
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75 } |
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76 else |
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77 { |
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78 quad_integration_error = 1; // XXX FIXME XXX |
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79 gripe_user_supplied_eval ("quad"); |
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80 } |
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81 } |
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82 |
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83 return retval; |
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84 } |
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85 |
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86 DEFUN_DLD_BUILTIN ("quad", Fquad, Squad, 5, 3, |
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87 "[V, IER, NFUN] = quad (F, A, B [, TOL] [, SING])\n\ |
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88 \n\ |
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89 Where the first argument is the name of the function to call to\n\ |
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90 compute the value of the integrand. It must have the form\n\ |
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91 \n\ |
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92 y = f (x) |
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93 \n\ |
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94 where y and x are scalars.\n\ |
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95 \n\ |
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96 The second and third arguments are limits of integration. Either or\n\ |
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97 both may be infinite.\n\ |
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98 \n\ |
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99 The optional argument tol is a vector that specifies the desired\n\ |
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100 accuracy of the result. The first element of the vector is the desired\n\ |
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101 absolute tolerance, and the second element is the desired relative\n\ |
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102 tolerance.\n\ |
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103 \n\ |
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104 The optional argument @var{sing} is a vector of values at which the\n\ |
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105 integrand is singular.") |
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106 { |
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107 Octave_object retval; |
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108 |
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109 int nargin = args.length (); |
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110 |
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111 if (nargin < 3 || nargin > 5 || nargout > 4) |
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112 { |
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113 print_usage ("quad"); |
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114 return retval; |
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115 } |
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116 |
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117 quad_fcn = is_valid_function (args(0), "quad", 1); |
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118 if (! quad_fcn || takes_correct_nargs (quad_fcn, 1, "quad", 1) != 1) |
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119 return retval; |
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120 |
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121 double a = args(1).double_value (); |
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122 |
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123 if (error_state) |
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124 { |
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125 error ("quad: expecting second argument to be a scalar"); |
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126 return retval; |
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127 } |
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128 |
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129 double b = args(2).double_value (); |
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130 |
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131 if (error_state) |
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132 { |
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133 error ("quad: expecting third argument to be a scalar"); |
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134 return retval; |
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135 } |
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136 |
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137 int indefinite = 0; |
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138 IndefQuad::IntegralType indef_type = IndefQuad::doubly_infinite; |
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139 double bound = 0.0; |
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140 if ((int) xisinf (a) && (int) xisinf (b)) |
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141 { |
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142 indefinite = 1; |
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143 indef_type = IndefQuad::doubly_infinite; |
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144 } |
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145 else if ((int) xisinf (a)) |
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146 { |
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147 indefinite = 1; |
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148 bound = b; |
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149 indef_type = IndefQuad::neg_inf_to_bound; |
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150 } |
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151 else if ((int) xisinf (b)) |
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152 { |
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153 indefinite = 1; |
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154 bound = a; |
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155 indef_type = IndefQuad::bound_to_inf; |
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156 } |
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157 |
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158 int ier = 0; |
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159 int nfun = 0; |
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160 double abserr = 0.0; |
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161 double val = 0.0; |
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162 double abstol = 1e-6; |
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163 double reltol = 1e-6; |
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164 Vector tol (2); |
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165 Vector sing; |
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166 int have_sing = 0; |
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167 switch (nargin) |
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168 { |
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169 case 5: |
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170 if (indefinite) |
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171 { |
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172 error("quad: singularities not allowed on infinite intervals"); |
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173 return retval; |
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174 } |
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175 |
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176 have_sing = 1; |
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177 |
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178 sing = args(4).vector_value (); |
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179 |
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180 if (error_state) |
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181 { |
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182 error ("quad: expecting vector of singularities as fourth argument"); |
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183 return retval; |
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184 } |
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185 |
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186 case 4: |
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187 tol = args(3).vector_value (); |
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188 |
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189 if (error_state) |
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190 { |
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191 error ("quad: expecting vector of tolerances as fifth argument"); |
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192 return retval; |
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193 } |
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194 |
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195 switch (tol.capacity ()) |
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196 { |
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197 case 2: |
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198 reltol = tol.elem (1); |
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199 |
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200 case 1: |
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201 abstol = tol.elem (0); |
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202 break; |
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203 |
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204 default: |
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205 error ("quad: expecting tol to contain no more than two values"); |
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206 return retval; |
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207 } |
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208 |
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209 case 3: |
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210 if (indefinite) |
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211 { |
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212 IndefQuad iq (quad_user_function, bound, indef_type, abstol, reltol); |
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213 iq.copy (quad_opts); |
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214 val = iq.integrate (ier, nfun, abserr); |
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215 } |
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216 else |
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217 { |
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218 if (have_sing) |
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219 { |
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220 DefQuad dq (quad_user_function, a, b, sing, abstol, reltol); |
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221 dq.copy (quad_opts); |
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222 val = dq.integrate (ier, nfun, abserr); |
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223 } |
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224 else |
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225 { |
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226 DefQuad dq (quad_user_function, a, b, abstol, reltol); |
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227 dq.copy (quad_opts); |
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228 val = dq.integrate (ier, nfun, abserr); |
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229 } |
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230 } |
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231 break; |
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232 |
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233 default: |
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234 panic_impossible (); |
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235 break; |
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236 } |
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237 |
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238 retval(3) = abserr; |
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239 retval(2) = nfun; |
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240 retval(1) = ier; |
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241 retval(0) = val; |
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242 |
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243 return retval; |
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244 } |
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245 |
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246 typedef void (Quad_options::*d_set_opt_mf) (double); |
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247 typedef double (Quad_options::*d_get_opt_mf) (void); |
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248 |
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249 #define MAX_TOKENS 2 |
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250 |
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251 struct QUAD_OPTIONS |
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252 { |
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253 const char *keyword; |
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254 const char *kw_tok[MAX_TOKENS + 1]; |
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255 int min_len[MAX_TOKENS + 1]; |
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256 int min_toks_to_match; |
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257 d_set_opt_mf d_set_fcn; |
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258 d_get_opt_mf d_get_fcn; |
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259 }; |
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260 |
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261 static QUAD_OPTIONS quad_option_table [] = |
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262 { |
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263 { "absolute tolerance", |
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264 { "absolute", "tolerance", 0, }, |
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265 { 1, 0, 0, }, 1, |
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266 Quad_options::set_absolute_tolerance, |
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267 Quad_options::absolute_tolerance, }, |
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268 |
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269 { "relative tolerance", |
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270 { "relative", "tolerance", 0, }, |
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271 { 1, 0, 0, }, 1, |
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272 Quad_options::set_relative_tolerance, |
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273 Quad_options::relative_tolerance, }, |
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274 |
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275 { 0, |
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276 { 0, 0, 0, }, |
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277 { 0, 0, 0, }, 0, |
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278 0, 0, }, |
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279 }; |
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280 |
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281 static void |
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282 print_quad_option_list (void) |
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283 { |
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284 ostrstream output_buf; |
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285 |
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286 print_usage ("quad_options", 1); |
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287 |
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288 output_buf << "\n" |
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289 << "Options for quad include:\n\n" |
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290 << " keyword value\n" |
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291 << " ------- -----\n\n"; |
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292 |
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293 QUAD_OPTIONS *list = quad_option_table; |
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294 |
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295 const char *keyword; |
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296 while ((keyword = list->keyword) != 0) |
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289
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297 { |
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298 output_buf.form (" %-40s ", keyword); |
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299 |
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300 double val = (quad_opts.*list->d_get_fcn) (); |
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301 if (val < 0.0) |
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302 output_buf << "computed automatically"; |
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303 else |
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304 output_buf << val; |
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305 |
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306 output_buf << "\n"; |
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307 list++; |
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308 } |
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309 |
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310 output_buf << "\n" << ends; |
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311 maybe_page_output (output_buf); |
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312 } |
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313 |
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314 static void |
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315 set_quad_option (char *keyword, double val) |
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316 { |
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317 QUAD_OPTIONS *list = quad_option_table; |
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318 |
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319 while (list->keyword != 0) |
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320 { |
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321 if (keyword_almost_match (list->kw_tok, list->min_len, keyword, |
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322 list->min_toks_to_match, MAX_TOKENS)) |
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323 { |
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324 (quad_opts.*list->d_set_fcn) (val); |
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325 |
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326 return; |
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327 } |
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328 list++; |
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329 } |
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330 |
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331 warning ("quad_options: no match for `%s'", keyword); |
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332 } |
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333 |
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334 static Octave_object |
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335 show_quad_option (char *keyword) |
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336 { |
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337 Octave_object retval; |
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338 |
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339 QUAD_OPTIONS *list = quad_option_table; |
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340 |
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341 while (list->keyword != 0) |
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342 { |
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343 if (keyword_almost_match (list->kw_tok, list->min_len, keyword, |
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344 list->min_toks_to_match, MAX_TOKENS)) |
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345 { |
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346 return (quad_opts.*list->d_get_fcn) (); |
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347 } |
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348 list++; |
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349 } |
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350 |
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351 warning ("quad_options: no match for `%s'", keyword); |
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352 |
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353 return retval; |
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354 } |
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355 |
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356 DEFUN_DLD_BUILTIN ("quad_options", Fquad_options, Squad_options, -1, 1, |
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357 "quad_options (KEYWORD, VALUE)\n\ |
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358 \n\ |
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359 Set or show options for quad. Keywords may be abbreviated\n\ |
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360 to the shortest match.") |
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272
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361 { |
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362 Octave_object retval; |
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363 |
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364 int nargin = args.length (); |
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365 |
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366 if (nargin == 0) |
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367 { |
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368 print_quad_option_list (); |
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369 return retval; |
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370 } |
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371 else if (nargin == 1 || nargin == 2) |
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372 { |
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373 char *keyword = args(0).string_value (); |
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374 |
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375 if (! error_state) |
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376 { |
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377 if (nargin == 1) |
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378 return show_quad_option (keyword); |
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379 else |
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380 { |
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381 double val = args(1).double_value (); |
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382 |
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383 if (! error_state) |
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384 { |
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385 set_quad_option (keyword, val); |
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386 return retval; |
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387 } |
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388 } |
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289
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389 } |
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390 } |
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391 |
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392 print_usage ("quad_options"); |
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393 |
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394 return retval; |
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395 } |
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396 |
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397 /* |
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398 ;;; Local Variables: *** |
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399 ;;; mode: C++ *** |
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400 ;;; page-delimiter: "^/\\*" *** |
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401 ;;; End: *** |
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402 */ |
