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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 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, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef __GNUG__ |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #include <iostream.h> |
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29 #include "CollocWt.h" |
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30 #include "f77-uscore.h" |
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31 |
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32 extern "C" |
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33 { |
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34 int F77_FCN (jcobi) (int*, int*, int*, int*, double*, double*, |
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35 double*, double*, double*, double*); |
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36 |
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37 int F77_FCN (dfopr) (int*, int*, int*, int*, int*, int*, |
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38 double*, double*, double*, double*, double*); |
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39 } |
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40 |
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41 // Error handling. |
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42 |
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43 void |
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44 CollocWt::error (const char* msg) |
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45 { |
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46 cerr << "Fatal CollocWt error. " << msg << "\n"; |
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47 exit(1); |
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48 } |
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49 |
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50 CollocWt::CollocWt (void) |
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51 { |
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52 n = 0; |
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53 inc_left = 0; |
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54 inc_right = 0; |
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55 lb = 0.0; |
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56 rb = 1.0; |
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57 |
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58 Alpha = 0.0; |
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59 Beta = 0.0; |
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60 |
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61 initialized = 0; |
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62 } |
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63 |
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64 CollocWt::CollocWt (int nc, int il, int ir) |
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65 { |
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66 n = nc; |
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67 inc_left = il; |
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68 inc_right = ir; |
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69 lb = 0.0; |
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70 rb = 1.0; |
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71 |
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72 Alpha = 0.0; |
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73 Beta = 0.0; |
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74 |
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75 initialized = 0; |
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76 } |
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77 |
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78 CollocWt::CollocWt (int nc, int ir, int il, double l, double r) |
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79 { |
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80 n = nc; |
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81 inc_left = il; |
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82 inc_right = ir; |
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83 lb = l; |
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84 rb = r; |
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85 |
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86 Alpha = 0.0; |
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87 Beta = 0.0; |
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88 |
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89 initialized = 0; |
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90 } |
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91 |
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92 CollocWt::CollocWt (int nc, double a, double b, int il, int ir) |
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93 { |
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94 n = nc; |
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95 inc_left = il; |
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96 inc_right = ir; |
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97 lb = 0.0; |
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98 rb = 1.0; |
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99 |
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100 Alpha = a; |
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101 Beta = b; |
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102 |
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103 initialized = 0; |
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104 } |
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105 |
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106 CollocWt::CollocWt (int nc, double a, double b, int ir, int il, |
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107 double l, double r) |
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108 { |
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109 n = nc; |
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110 inc_left = il; |
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111 inc_right = ir; |
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112 lb = l; |
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113 rb = r; |
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114 |
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115 Alpha = a; |
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116 Beta = b; |
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117 |
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118 initialized = 0; |
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119 } |
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120 |
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121 CollocWt::CollocWt (const CollocWt& a) |
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122 { |
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123 n = a.n; |
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124 inc_left = a.inc_left; |
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125 inc_right = a.inc_right; |
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126 lb = a.lb; |
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127 rb = a.rb; |
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128 r = a.r; |
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129 q = a.q; |
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130 A = a.A; |
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131 B = a.B; |
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132 |
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133 nt = n + inc_left + inc_right; |
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134 |
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135 initialized = a.initialized; |
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136 } |
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137 |
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138 CollocWt& |
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139 CollocWt::operator = (const CollocWt& a) |
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140 { |
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141 n = a.n; |
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142 inc_left = a.inc_left; |
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143 inc_right = a.inc_right; |
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144 lb = a.lb; |
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145 rb = a.rb; |
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146 r = a.r; |
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147 q = a.q; |
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148 A = a.A; |
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149 B = a.B; |
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150 |
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151 nt = a.nt; |
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152 |
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153 initialized = a.initialized; |
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154 |
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155 return *this; |
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156 } |
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157 |
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158 CollocWt& |
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159 CollocWt::resize (int ncol) |
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160 { |
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161 n = ncol; |
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162 initialized = 0; |
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163 return *this; |
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164 } |
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165 |
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166 CollocWt& |
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167 CollocWt::add_left (void) |
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168 { |
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169 inc_left = 1; |
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170 initialized = 0; |
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171 return *this; |
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172 } |
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173 |
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174 CollocWt& |
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175 CollocWt::delete_left (void) |
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176 { |
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177 inc_left = 0; |
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178 initialized = 0; |
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179 return *this; |
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180 } |
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181 |
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182 CollocWt& |
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183 CollocWt::set_left (double val) |
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184 { |
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185 if (val >= rb) |
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186 error ("left bound greater than right bound"); |
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187 |
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188 lb = val; |
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189 initialized = 0; |
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190 return *this; |
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191 } |
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192 |
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193 CollocWt& |
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194 CollocWt::add_right (void) |
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195 { |
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196 inc_right = 1; |
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197 initialized = 0; |
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198 return *this; |
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199 } |
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200 |
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201 CollocWt& |
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202 CollocWt::delete_right (void) |
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203 { |
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204 inc_right = 0; |
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205 initialized = 0; |
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206 return *this; |
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207 } |
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208 |
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209 CollocWt& |
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210 CollocWt::set_right (double val) |
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211 { |
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212 if (val <= lb) |
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213 error ("right bound less than left bound"); |
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214 |
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215 rb = val; |
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216 initialized = 0; |
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217 return *this; |
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218 } |
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219 |
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220 CollocWt& |
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221 CollocWt::set_alpha (double val) |
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222 { |
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223 Alpha = val; |
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224 initialized = 0; |
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225 return *this; |
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226 } |
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227 |
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228 CollocWt& |
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229 CollocWt::set_beta (double val) |
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230 { |
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231 Beta = val; |
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232 initialized = 0; |
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233 return *this; |
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234 } |
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235 |
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236 void |
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237 CollocWt::init (void) |
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238 { |
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239 // Check for possible errors. |
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240 |
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241 double wid = rb - lb; |
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242 if (wid <= 0.0) |
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243 error ("width less than or equal to zero"); |
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244 |
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245 nt = n + inc_left + inc_right; |
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246 if (nt < 0) |
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247 error ("total number of collocation points less than zero"); |
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248 else if (nt == 0) |
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249 return; |
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250 |
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251 double *dif1 = new double [nt]; |
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252 double *dif2 = new double [nt]; |
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253 double *dif3 = new double [nt]; |
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254 double *vect = new double [nt]; |
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255 |
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256 r.resize (nt); |
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257 q.resize (nt); |
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258 A.resize (nt, nt); |
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259 B.resize (nt, nt); |
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260 |
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261 double *pr = r.fortran_vec (); |
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262 |
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263 // Compute roots. |
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264 |
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265 F77_FCN (jcobi) (&nt, &n, &inc_left, &inc_right, &Alpha, &Beta, |
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266 dif1, dif2, dif3, pr); |
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267 |
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268 int id; |
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269 int i, j; |
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270 |
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271 // First derivative weights. |
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272 |
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273 id = 1; |
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274 for (i = 1; i <= nt; i++) |
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275 { |
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276 F77_FCN (dfopr) (&nt, &n, &inc_left, &inc_right, &i, &id, dif1, |
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277 dif2, dif3, pr, vect); |
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278 |
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279 for (j = 0; j < nt; j++) |
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280 A (i-1, j) = vect[j]; |
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281 } |
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282 |
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283 // Second derivative weights. |
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284 |
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285 id = 2; |
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286 for (i = 1; i <= nt; i++) |
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287 { |
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288 F77_FCN (dfopr) (&nt, &n, &inc_left, &inc_right, &i, &id, dif1, |
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289 dif2, dif3, pr, vect); |
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290 |
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291 for (j = 0; j < nt; j++) |
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292 B (i-1, j) = vect[j]; |
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293 } |
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294 |
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295 // Gaussian quadrature weights. |
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296 |
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297 id = 3; |
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298 double *pq = q.fortran_vec (); |
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299 F77_FCN (dfopr) (&nt, &n, &inc_left, &inc_right, &i, &id, dif1, |
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300 dif2, dif3, pr, pq); |
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301 |
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302 delete dif1; |
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303 delete dif2; |
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304 delete dif3; |
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305 delete vect; |
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306 |
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307 initialized = 1; |
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308 } |
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309 |
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310 ostream& |
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311 operator << (ostream& os, const CollocWt& a) |
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312 { |
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313 if (a.left_included ()) |
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314 os << "left boundary is included\n"; |
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315 else |
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316 os << "left boundary is not included\n"; |
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317 |
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318 if (a.right_included ()) |
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319 os << "right boundary is included\n"; |
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320 else |
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321 os << "right boundary is not included\n"; |
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322 |
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323 os << "\n"; |
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324 |
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325 os << a.Alpha << " " << a.Beta << "\n\n" |
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326 << a.r << "\n\n" |
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327 << a.q << "\n\n" |
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328 << a.A << "\n" |
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329 << a.B << "\n"; |
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330 |
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331 return os; |
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332 } |
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333 |
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334 /* |
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335 ;;; Local Variables: *** |
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336 ;;; mode: C++ *** |
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337 ;;; page-delimiter: "^/\\*" *** |
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338 ;;; End: *** |
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339 */ |
