1993
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1 // ColumnVector manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1996, 1997 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 #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> |
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29 |
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30 #include "Array-util.h" |
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31 #include "f77-fcn.h" |
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32 #include "lo-error.h" |
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33 #include "mx-base.h" |
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34 #include "mx-inlines.cc" |
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35 #include "oct-cmplx.h" |
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36 |
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37 // Fortran functions we call. |
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38 |
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39 extern "C" |
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40 { |
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41 F77_RET_T |
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42 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
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43 const int&, const int&, const Complex&, |
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44 const Complex*, const int&, const Complex*, |
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45 const int&, const Complex&, Complex*, const int& |
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46 F77_CHAR_ARG_LEN_DECL); |
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47 } |
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48 |
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49 // Complex Column Vector class |
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50 |
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51 ComplexColumnVector::ComplexColumnVector (const ColumnVector& a) |
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52 : MArray<Complex> (a.length ()) |
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53 { |
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54 for (int i = 0; i < length (); i++) |
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55 elem (i) = a.elem (i); |
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56 } |
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57 |
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58 bool |
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59 ComplexColumnVector::operator == (const ComplexColumnVector& a) const |
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60 { |
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61 int len = length (); |
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62 if (len != a.length ()) |
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63 return 0; |
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64 return mx_inline_equal (data (), a.data (), len); |
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65 } |
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66 |
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67 bool |
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68 ComplexColumnVector::operator != (const ComplexColumnVector& a) const |
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69 { |
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70 return !(*this == a); |
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71 } |
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72 |
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73 // destructive insert/delete/reorder operations |
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74 |
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75 ComplexColumnVector& |
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76 ComplexColumnVector::insert (const ColumnVector& a, int r) |
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77 { |
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78 int a_len = a.length (); |
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79 |
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80 if (r < 0 || r + a_len > length ()) |
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81 { |
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82 (*current_liboctave_error_handler) ("range error for insert"); |
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83 return *this; |
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84 } |
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85 |
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86 if (a_len > 0) |
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87 { |
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88 make_unique (); |
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89 |
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90 for (int i = 0; i < a_len; i++) |
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91 xelem (r+i) = a.elem (i); |
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92 } |
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93 |
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94 return *this; |
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95 } |
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96 |
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97 ComplexColumnVector& |
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98 ComplexColumnVector::insert (const ComplexColumnVector& a, int r) |
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99 { |
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100 int a_len = a.length (); |
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101 |
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102 if (r < 0 || r + a_len > length ()) |
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103 { |
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104 (*current_liboctave_error_handler) ("range error for insert"); |
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105 return *this; |
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106 } |
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107 |
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108 if (a_len > 0) |
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109 { |
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110 make_unique (); |
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111 |
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112 for (int i = 0; i < a_len; i++) |
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113 xelem (r+i) = a.elem (i); |
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114 } |
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115 |
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116 return *this; |
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117 } |
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118 |
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119 ComplexColumnVector& |
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120 ComplexColumnVector::fill (double val) |
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121 { |
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122 int len = length (); |
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123 |
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124 if (len > 0) |
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125 { |
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126 make_unique (); |
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127 |
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128 for (int i = 0; i < len; i++) |
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129 xelem (i) = val; |
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130 } |
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131 |
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132 return *this; |
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133 } |
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134 |
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135 ComplexColumnVector& |
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136 ComplexColumnVector::fill (const Complex& val) |
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137 { |
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138 int len = length (); |
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139 |
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140 if (len > 0) |
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141 { |
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142 make_unique (); |
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143 |
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144 for (int i = 0; i < len; i++) |
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145 xelem (i) = val; |
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146 } |
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147 |
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148 |
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149 return *this; |
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150 } |
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151 |
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152 ComplexColumnVector& |
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153 ComplexColumnVector::fill (double val, int r1, int r2) |
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154 { |
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155 int len = length (); |
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156 |
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157 if (r1 < 0 || r2 < 0 || r1 >= len || r2 >= len) |
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158 { |
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159 (*current_liboctave_error_handler) ("range error for fill"); |
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160 return *this; |
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161 } |
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162 |
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163 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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164 |
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165 if (r2 >= r1) |
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166 { |
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167 make_unique (); |
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168 |
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169 for (int i = r1; i <= r2; i++) |
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170 xelem (i) = val; |
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171 } |
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172 |
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173 return *this; |
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174 } |
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175 |
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176 ComplexColumnVector& |
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177 ComplexColumnVector::fill (const Complex& val, int r1, int r2) |
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178 { |
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179 int len = length (); |
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180 |
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181 if (r1 < 0 || r2 < 0 || r1 >= len || r2 >= len) |
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182 { |
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183 (*current_liboctave_error_handler) ("range error for fill"); |
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184 return *this; |
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185 } |
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186 |
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187 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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188 |
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189 if (r2 >= r1) |
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190 { |
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191 make_unique (); |
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192 |
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193 for (int i = r1; i <= r2; i++) |
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194 xelem (i) = val; |
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195 } |
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196 |
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197 return *this; |
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198 } |
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199 |
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200 ComplexColumnVector |
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201 ComplexColumnVector::stack (const ColumnVector& a) const |
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202 { |
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203 int len = length (); |
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204 int nr_insert = len; |
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205 ComplexColumnVector retval (len + a.length ()); |
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206 retval.insert (*this, 0); |
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207 retval.insert (a, nr_insert); |
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208 return retval; |
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209 } |
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210 |
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211 ComplexColumnVector |
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212 ComplexColumnVector::stack (const ComplexColumnVector& a) const |
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213 { |
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214 int len = length (); |
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215 int nr_insert = len; |
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216 ComplexColumnVector retval (len + a.length ()); |
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217 retval.insert (*this, 0); |
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218 retval.insert (a, nr_insert); |
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219 return retval; |
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220 } |
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221 |
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222 ComplexRowVector |
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223 ComplexColumnVector::hermitian (void) const |
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224 { |
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225 int len = length (); |
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226 return ComplexRowVector (mx_inline_conj_dup (data (), len), len); |
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227 } |
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228 |
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229 ComplexRowVector |
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230 ComplexColumnVector::transpose (void) const |
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231 { |
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232 return ComplexRowVector (*this); |
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233 } |
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234 |
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235 ComplexColumnVector |
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236 conj (const ComplexColumnVector& a) |
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237 { |
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238 int a_len = a.length (); |
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239 ComplexColumnVector retval; |
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240 if (a_len > 0) |
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241 retval = ComplexColumnVector (mx_inline_conj_dup (a.data (), a_len), a_len); |
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242 return retval; |
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243 } |
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244 |
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245 // resize is the destructive equivalent for this one |
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246 |
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247 ComplexColumnVector |
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248 ComplexColumnVector::extract (int r1, int r2) const |
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249 { |
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250 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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251 |
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252 int new_r = r2 - r1 + 1; |
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253 |
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254 ComplexColumnVector result (new_r); |
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255 |
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256 for (int i = 0; i < new_r; i++) |
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257 result.elem (i) = elem (r1+i); |
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258 |
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259 return result; |
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260 } |
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261 |
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262 ComplexColumnVector |
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263 ComplexColumnVector::extract_n (int r1, int n) const |
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264 { |
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265 ComplexColumnVector result (n); |
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266 |
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267 for (int i = 0; i < n; i++) |
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268 result.elem (i) = elem (r1+i); |
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269 |
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270 return result; |
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271 } |
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272 |
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273 // column vector by column vector -> column vector operations |
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274 |
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275 ComplexColumnVector& |
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276 ComplexColumnVector::operator += (const ColumnVector& a) |
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277 { |
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278 int len = length (); |
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279 |
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280 int a_len = a.length (); |
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281 |
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282 if (len != a_len) |
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283 { |
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284 gripe_nonconformant ("operator +=", len, a_len); |
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285 return *this; |
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286 } |
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287 |
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288 if (len == 0) |
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289 return *this; |
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290 |
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291 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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292 |
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293 mx_inline_add2 (d, a.data (), len); |
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294 return *this; |
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295 } |
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296 |
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297 ComplexColumnVector& |
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298 ComplexColumnVector::operator -= (const ColumnVector& a) |
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299 { |
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300 int len = length (); |
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301 |
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302 int a_len = a.length (); |
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303 |
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304 if (len != a_len) |
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305 { |
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306 gripe_nonconformant ("operator -=", len, a_len); |
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307 return *this; |
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308 } |
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309 |
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310 if (len == 0) |
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311 return *this; |
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312 |
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313 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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314 |
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315 mx_inline_subtract2 (d, a.data (), len); |
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316 return *this; |
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317 } |
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318 |
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319 // matrix by column vector -> column vector operations |
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320 |
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321 ComplexColumnVector |
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322 operator * (const ComplexMatrix& m, const ColumnVector& a) |
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323 { |
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324 ComplexColumnVector tmp (a); |
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325 return m * tmp; |
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326 } |
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327 |
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328 ComplexColumnVector |
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329 operator * (const ComplexMatrix& m, const ComplexColumnVector& a) |
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330 { |
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331 ComplexColumnVector retval; |
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332 |
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333 int nr = m.rows (); |
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334 int nc = m.cols (); |
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335 |
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336 int a_len = a.length (); |
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337 |
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338 if (nc != a_len) |
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339 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
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340 else |
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341 { |
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342 if (nc == 0 || nr == 0) |
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343 retval.resize (nr, 0.0); |
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344 else |
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345 { |
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346 int ld = nr; |
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347 |
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348 retval.resize (nr); |
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349 Complex *y = retval.fortran_vec (); |
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350 |
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351 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 ("N", 1), |
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352 nr, nc, 1.0, m.data (), ld, |
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353 a.data (), 1, 0.0, y, 1 |
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354 F77_CHAR_ARG_LEN (1))); |
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355 |
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356 if (f77_exception_encountered) |
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357 (*current_liboctave_error_handler) |
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358 ("unrecoverable error in zgemv"); |
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359 } |
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360 } |
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361 |
1947
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362 return retval; |
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363 } |
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364 |
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365 // matrix by column vector -> column vector operations |
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366 |
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367 ComplexColumnVector |
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368 operator * (const Matrix& m, const ComplexColumnVector& a) |
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369 { |
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370 ComplexMatrix tmp (m); |
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371 return tmp * a; |
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372 } |
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373 |
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374 // diagonal matrix by column vector -> column vector operations |
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375 |
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376 ComplexColumnVector |
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377 operator * (const DiagMatrix& m, const ComplexColumnVector& a) |
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378 { |
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379 int nr = m.rows (); |
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380 int nc = m.cols (); |
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381 |
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382 int a_len = a.length (); |
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383 |
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384 if (nc != a_len) |
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385 { |
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386 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
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387 return ComplexColumnVector (); |
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388 } |
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389 |
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390 if (nc == 0 || nr == 0) |
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391 return ComplexColumnVector (0); |
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392 |
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393 ComplexColumnVector result (nr); |
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394 |
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395 for (int i = 0; i < a_len; i++) |
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396 result.elem (i) = a.elem (i) * m.elem (i, i); |
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397 |
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398 for (int i = a_len; i < nr; i++) |
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399 result.elem (i) = 0.0; |
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400 |
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401 return result; |
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402 } |
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403 |
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404 ComplexColumnVector |
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405 operator * (const ComplexDiagMatrix& m, const ColumnVector& a) |
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406 { |
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407 int nr = m.rows (); |
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408 int nc = m.cols (); |
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409 |
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410 int a_len = a.length (); |
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411 |
1205
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412 if (nc != a_len) |
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413 { |
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414 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
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415 return ComplexColumnVector (); |
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416 } |
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417 |
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418 if (nc == 0 || nr == 0) |
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419 return ComplexColumnVector (0); |
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420 |
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421 ComplexColumnVector result (nr); |
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422 |
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423 for (int i = 0; i < a_len; i++) |
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424 result.elem (i) = a.elem (i) * m.elem (i, i); |
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425 |
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426 for (int i = a_len; i < nr; i++) |
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427 result.elem (i) = 0.0; |
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428 |
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429 return result; |
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430 } |
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431 |
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432 ComplexColumnVector |
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433 operator * (const ComplexDiagMatrix& m, const ComplexColumnVector& a) |
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434 { |
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435 int nr = m.rows (); |
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436 int nc = m.cols (); |
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437 |
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438 int a_len = a.length (); |
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439 |
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440 if (nc != a_len) |
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441 { |
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442 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
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443 return ComplexColumnVector (); |
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444 } |
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445 |
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446 if (nc == 0 || nr == 0) |
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447 return ComplexColumnVector (0); |
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448 |
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449 ComplexColumnVector result (nr); |
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450 |
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451 for (int i = 0; i < a_len; i++) |
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452 result.elem (i) = a.elem (i) * m.elem (i, i); |
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453 |
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454 for (int i = a_len; i < nr; i++) |
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455 result.elem (i) = 0.0; |
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456 |
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457 return result; |
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458 } |
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459 |
458
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460 // other operations |
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461 |
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462 ComplexColumnVector |
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463 ComplexColumnVector::map (c_c_Mapper f) const |
458
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464 { |
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465 ComplexColumnVector b (*this); |
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466 return b.apply (f); |
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467 } |
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468 |
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469 ColumnVector |
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470 ComplexColumnVector::map (d_c_Mapper f) const |
458
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471 { |
2676
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472 const Complex *d = data (); |
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473 |
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474 int len = length (); |
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475 |
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476 ColumnVector retval (len); |
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477 |
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478 double *r = retval.fortran_vec (); |
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479 |
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480 for (int i = 0; i < len; i++) |
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481 r[i] = f (d[i]); |
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482 |
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483 return retval; |
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484 } |
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485 |
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486 ComplexColumnVector& |
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487 ComplexColumnVector::apply (c_c_Mapper f) |
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488 { |
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489 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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490 |
458
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491 for (int i = 0; i < length (); i++) |
2676
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492 d[i] = f (d[i]); |
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493 |
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494 return *this; |
458
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495 } |
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496 |
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497 Complex |
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498 ComplexColumnVector::min (void) const |
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499 { |
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500 int len = length (); |
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501 if (len == 0) |
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502 return 0.0; |
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503 |
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504 Complex res = elem (0); |
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505 double absres = std::abs (res); |
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506 |
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507 for (int i = 1; i < len; i++) |
5260
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508 if (std::abs (elem (i)) < absres) |
458
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509 { |
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510 res = elem (i); |
5260
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511 absres = std::abs (res); |
458
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512 } |
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513 |
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514 return res; |
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515 } |
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516 |
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517 Complex |
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518 ComplexColumnVector::max (void) const |
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519 { |
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520 int len = length (); |
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521 if (len == 0) |
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522 return 0.0; |
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523 |
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524 Complex res = elem (0); |
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525 double absres = std::abs (res); |
458
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526 |
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527 for (int i = 1; i < len; i++) |
5260
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528 if (std::abs (elem (i)) > absres) |
458
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529 { |
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530 res = elem (i); |
5260
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531 absres = std::abs (res); |
458
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532 } |
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533 |
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534 return res; |
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535 } |
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536 |
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537 // i/o |
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538 |
3504
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539 std::ostream& |
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540 operator << (std::ostream& os, const ComplexColumnVector& a) |
458
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541 { |
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542 // int field_width = os.precision () + 7; |
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543 for (int i = 0; i < a.length (); i++) |
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544 os << /* setw (field_width) << */ a.elem (i) << "\n"; |
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545 return os; |
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546 } |
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547 |
3504
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548 std::istream& |
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549 operator >> (std::istream& is, ComplexColumnVector& a) |
458
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550 { |
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551 int len = a.length(); |
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552 |
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553 if (len < 1) |
3504
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554 is.clear (std::ios::badbit); |
458
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555 else |
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556 { |
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557 double tmp; |
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558 for (int i = 0; i < len; i++) |
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559 { |
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560 is >> tmp; |
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561 if (is) |
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562 a.elem (i) = tmp; |
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563 else |
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564 break; |
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565 } |
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566 } |
532
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567 return is; |
458
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568 } |
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569 |
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570 /* |
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571 ;;; Local Variables: *** |
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572 ;;; mode: C++ *** |
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573 ;;; End: *** |
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574 */ |