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1 // CollocWt.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 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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24 #if defined (__GNUG__) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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32 #include <iostream.h> |
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33 |
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34 #include "CollocWt.h" |
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35 #include "f77-uscore.h" |
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227
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36 #include "lo-error.h" |
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37 |
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38 extern "C" |
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39 { |
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40 int F77_FCN (jcobi, JCOBI) (int&, int&, int&, int&, double&, |
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41 double&, double*, double*, double*, |
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42 double*); |
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43 |
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44 int F77_FCN (dfopr, DFOPR) (int&, int&, int&, int&, int&, int&, |
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45 double*, double*, double*, double*, |
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46 double*); |
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47 } |
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48 |
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49 // Error handling. |
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50 |
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51 void |
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52 CollocWt::error (const char* msg) |
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53 { |
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54 (*current_liboctave_error_handler) ("fatal CollocWt error: %s", msg); |
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55 } |
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56 |
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57 CollocWt::CollocWt (void) |
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58 { |
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59 n = 0; |
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60 inc_left = 0; |
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61 inc_right = 0; |
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62 lb = 0.0; |
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63 rb = 1.0; |
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64 |
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65 Alpha = 0.0; |
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66 Beta = 0.0; |
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67 |
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68 initialized = 0; |
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69 } |
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70 |
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71 CollocWt::CollocWt (int nc, int il, int ir) |
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72 { |
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73 n = nc; |
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74 inc_left = il; |
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75 inc_right = ir; |
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76 lb = 0.0; |
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77 rb = 1.0; |
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78 |
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79 Alpha = 0.0; |
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80 Beta = 0.0; |
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81 |
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82 initialized = 0; |
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83 } |
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84 |
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85 CollocWt::CollocWt (int nc, int ir, int il, double l, double r) |
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86 { |
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87 n = nc; |
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88 inc_left = il; |
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89 inc_right = ir; |
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90 lb = l; |
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91 rb = r; |
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92 |
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93 Alpha = 0.0; |
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94 Beta = 0.0; |
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95 |
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96 initialized = 0; |
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97 } |
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98 |
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99 CollocWt::CollocWt (int nc, double a, double b, int il, int ir) |
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100 { |
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101 n = nc; |
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102 inc_left = il; |
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103 inc_right = ir; |
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104 lb = 0.0; |
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105 rb = 1.0; |
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106 |
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107 Alpha = a; |
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108 Beta = b; |
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109 |
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110 initialized = 0; |
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111 } |
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112 |
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113 CollocWt::CollocWt (int nc, double a, double b, int ir, int il, |
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114 double l, double r) |
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115 { |
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116 n = nc; |
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117 inc_left = il; |
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118 inc_right = ir; |
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119 lb = l; |
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120 rb = r; |
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121 |
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122 Alpha = a; |
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123 Beta = b; |
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124 |
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125 initialized = 0; |
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126 } |
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127 |
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128 CollocWt::CollocWt (const CollocWt& a) |
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129 { |
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130 n = a.n; |
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131 inc_left = a.inc_left; |
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132 inc_right = a.inc_right; |
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133 lb = a.lb; |
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134 rb = a.rb; |
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135 r = a.r; |
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136 q = a.q; |
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137 A = a.A; |
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138 B = a.B; |
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139 |
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140 nt = n + inc_left + inc_right; |
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141 |
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142 initialized = a.initialized; |
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143 } |
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144 |
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145 CollocWt& |
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146 CollocWt::operator = (const CollocWt& a) |
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147 { |
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148 n = a.n; |
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149 inc_left = a.inc_left; |
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150 inc_right = a.inc_right; |
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151 lb = a.lb; |
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152 rb = a.rb; |
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153 r = a.r; |
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154 q = a.q; |
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155 A = a.A; |
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156 B = a.B; |
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157 |
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158 nt = a.nt; |
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159 |
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160 initialized = a.initialized; |
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161 |
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162 return *this; |
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163 } |
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164 |
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165 CollocWt& |
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166 CollocWt::resize (int ncol) |
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167 { |
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168 n = ncol; |
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169 initialized = 0; |
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170 return *this; |
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171 } |
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172 |
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173 CollocWt& |
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174 CollocWt::add_left (void) |
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175 { |
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176 inc_left = 1; |
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177 initialized = 0; |
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178 return *this; |
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179 } |
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180 |
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181 CollocWt& |
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182 CollocWt::delete_left (void) |
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183 { |
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184 inc_left = 0; |
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185 initialized = 0; |
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186 return *this; |
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187 } |
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188 |
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189 CollocWt& |
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190 CollocWt::set_left (double val) |
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191 { |
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192 if (val >= rb) |
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193 { |
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194 error ("left bound greater than right bound"); |
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195 return *this; |
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196 } |
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197 |
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198 lb = val; |
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199 initialized = 0; |
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200 return *this; |
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201 } |
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202 |
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203 CollocWt& |
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204 CollocWt::add_right (void) |
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205 { |
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206 inc_right = 1; |
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207 initialized = 0; |
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208 return *this; |
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209 } |
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210 |
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211 CollocWt& |
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212 CollocWt::delete_right (void) |
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213 { |
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214 inc_right = 0; |
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215 initialized = 0; |
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216 return *this; |
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217 } |
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218 |
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219 CollocWt& |
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220 CollocWt::set_right (double val) |
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221 { |
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222 if (val <= lb) |
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223 { |
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224 error ("right bound less than left bound"); |
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225 return *this; |
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226 } |
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227 |
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228 rb = val; |
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229 initialized = 0; |
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230 return *this; |
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231 } |
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232 |
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233 CollocWt& |
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234 CollocWt::set_alpha (double val) |
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235 { |
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236 Alpha = val; |
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237 initialized = 0; |
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238 return *this; |
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239 } |
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240 |
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241 CollocWt& |
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242 CollocWt::set_beta (double val) |
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243 { |
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244 Beta = val; |
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245 initialized = 0; |
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246 return *this; |
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247 } |
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248 |
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249 void |
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250 CollocWt::init (void) |
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251 { |
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252 // Check for possible errors. |
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253 |
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254 double wid = rb - lb; |
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255 if (wid <= 0.0) |
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256 { |
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257 error ("width less than or equal to zero"); |
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258 return; |
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259 } |
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260 |
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261 nt = n + inc_left + inc_right; |
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262 if (nt < 0) |
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263 { |
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264 error ("total number of collocation points less than zero"); |
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265 return; |
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266 } |
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267 else if (nt == 0) |
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268 return; |
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269 |
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270 double *dif1 = new double [nt]; |
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271 double *dif2 = new double [nt]; |
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272 double *dif3 = new double [nt]; |
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273 double *vect = new double [nt]; |
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274 |
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275 r.resize (nt); |
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276 q.resize (nt); |
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277 A.resize (nt, nt); |
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278 B.resize (nt, nt); |
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279 |
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280 double *pr = r.fortran_vec (); |
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281 |
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282 // Compute roots. |
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283 |
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284 F77_FCN (jcobi, JCOBI) (nt, n, inc_left, inc_right, Alpha, Beta, |
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285 dif1, dif2, dif3, pr); |
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286 |
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287 int id; |
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288 |
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289 // First derivative weights. |
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290 |
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291 id = 1; |
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292 for (int i = 1; i <= nt; i++) |
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293 { |
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294 F77_FCN (dfopr, DFOPR) (nt, n, inc_left, inc_right, i, id, dif1, |
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295 dif2, dif3, pr, vect); |
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296 |
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297 for (int j = 0; j < nt; j++) |
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298 A (i-1, j) = vect[j]; |
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299 } |
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300 |
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301 // Second derivative weights. |
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302 |
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303 id = 2; |
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304 for (int i = 1; i <= nt; i++) |
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305 { |
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306 F77_FCN (dfopr, DFOPR) (nt, n, inc_left, inc_right, i, id, dif1, |
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307 dif2, dif3, pr, vect); |
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308 |
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309 for (int j = 0; j < nt; j++) |
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310 B (i-1, j) = vect[j]; |
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311 } |
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312 |
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313 // Gaussian quadrature weights. |
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314 |
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315 id = 3; |
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316 double *pq = q.fortran_vec (); |
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317 F77_FCN (dfopr, DFOPR) (nt, n, inc_left, inc_right, id, id, dif1, |
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318 dif2, dif3, pr, pq); |
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319 |
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320 delete [] dif1; |
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321 delete [] dif2; |
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322 delete [] dif3; |
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323 delete [] vect; |
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324 |
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325 initialized = 1; |
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326 } |
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327 |
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328 ostream& |
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329 operator << (ostream& os, const CollocWt& a) |
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330 { |
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331 if (a.left_included ()) |
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332 os << "left boundary is included\n"; |
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333 else |
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334 os << "left boundary is not included\n"; |
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335 |
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336 if (a.right_included ()) |
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337 os << "right boundary is included\n"; |
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338 else |
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339 os << "right boundary is not included\n"; |
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340 |
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341 os << "\n"; |
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342 |
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343 os << a.Alpha << " " << a.Beta << "\n\n" |
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344 << a.r << "\n\n" |
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345 << a.q << "\n\n" |
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346 << a.A << "\n" |
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347 << a.B << "\n"; |
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348 |
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349 return os; |
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350 } |
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351 |
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352 /* |
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353 ;;; Local Variables: *** |
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354 ;;; mode: C++ *** |
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355 ;;; page-delimiter: "^/\\*" *** |
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356 ;;; End: *** |
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357 */ |
