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