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