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 #if defined (__GNUG__) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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32 #include <iostream> |
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33 |
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34 #include "f77-fcn.h" |
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35 #include "lo-error.h" |
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36 #include "mx-base.h" |
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37 #include "mx-inlines.cc" |
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38 #include "oct-cmplx.h" |
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39 |
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40 // Fortran functions we call. |
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41 |
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42 extern "C" |
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43 { |
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44 int F77_FCN (zgemv, ZGEMV) (const char*, const int&, const int&, |
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45 const Complex&, const Complex*, |
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46 const int&, const Complex*, const int&, |
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47 const Complex&, Complex*, const int&, |
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48 long); |
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49 } |
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50 |
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51 // Complex Column Vector class |
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52 |
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53 ComplexColumnVector::ComplexColumnVector (const ColumnVector& a) |
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54 : MArray<Complex> (a.length ()) |
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55 { |
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56 for (int i = 0; i < length (); i++) |
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57 elem (i) = a.elem (i); |
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58 } |
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59 |
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60 bool |
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61 ComplexColumnVector::operator == (const ComplexColumnVector& a) const |
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62 { |
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63 int len = length (); |
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64 if (len != a.length ()) |
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65 return 0; |
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66 return equal (data (), a.data (), len); |
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67 } |
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68 |
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69 bool |
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70 ComplexColumnVector::operator != (const ComplexColumnVector& a) const |
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71 { |
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72 return !(*this == a); |
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73 } |
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74 |
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75 // destructive insert/delete/reorder operations |
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76 |
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77 ComplexColumnVector& |
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78 ComplexColumnVector::insert (const ColumnVector& a, int r) |
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79 { |
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80 int a_len = a.length (); |
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81 if (r < 0 || r + a_len > length ()) |
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82 { |
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83 (*current_liboctave_error_handler) ("range error for insert"); |
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84 return *this; |
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85 } |
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86 |
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87 for (int i = 0; i < a_len; i++) |
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88 elem (r+i) = a.elem (i); |
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89 |
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90 return *this; |
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91 } |
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92 |
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93 ComplexColumnVector& |
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94 ComplexColumnVector::insert (const ComplexColumnVector& a, int r) |
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95 { |
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96 int a_len = a.length (); |
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97 if (r < 0 || r + a_len > length ()) |
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98 { |
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99 (*current_liboctave_error_handler) ("range error for insert"); |
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100 return *this; |
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101 } |
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102 |
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103 for (int i = 0; i < a_len; i++) |
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104 elem (r+i) = a.elem (i); |
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105 |
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106 return *this; |
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107 } |
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108 |
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109 ComplexColumnVector& |
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110 ComplexColumnVector::fill (double val) |
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111 { |
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112 int len = length (); |
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113 if (len > 0) |
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114 for (int i = 0; i < len; i++) |
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115 elem (i) = val; |
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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 (const Complex& val) |
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121 { |
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122 int len = length (); |
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123 if (len > 0) |
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124 for (int i = 0; i < len; i++) |
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125 elem (i) = val; |
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126 return *this; |
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127 } |
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128 |
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129 ComplexColumnVector& |
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130 ComplexColumnVector::fill (double val, int r1, int r2) |
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131 { |
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132 int len = length (); |
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133 if (r1 < 0 || r2 < 0 || r1 >= len || r2 >= len) |
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134 { |
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135 (*current_liboctave_error_handler) ("range error for fill"); |
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136 return *this; |
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137 } |
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138 |
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139 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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140 |
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141 for (int i = r1; i <= r2; i++) |
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142 elem (i) = val; |
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143 |
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144 return *this; |
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145 } |
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146 |
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147 ComplexColumnVector& |
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148 ComplexColumnVector::fill (const Complex& val, int r1, int r2) |
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149 { |
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150 int len = length (); |
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151 if (r1 < 0 || r2 < 0 || r1 >= len || r2 >= len) |
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152 { |
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153 (*current_liboctave_error_handler) ("range error for fill"); |
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154 return *this; |
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155 } |
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156 |
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157 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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158 |
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159 for (int i = r1; i <= r2; i++) |
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160 elem (i) = val; |
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161 |
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162 return *this; |
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163 } |
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164 |
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165 ComplexColumnVector |
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166 ComplexColumnVector::stack (const ColumnVector& a) const |
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167 { |
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168 int len = length (); |
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169 int nr_insert = len; |
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170 ComplexColumnVector retval (len + a.length ()); |
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171 retval.insert (*this, 0); |
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172 retval.insert (a, nr_insert); |
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173 return retval; |
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174 } |
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175 |
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176 ComplexColumnVector |
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177 ComplexColumnVector::stack (const ComplexColumnVector& a) const |
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178 { |
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179 int len = length (); |
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180 int nr_insert = len; |
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181 ComplexColumnVector retval (len + a.length ()); |
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182 retval.insert (*this, 0); |
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183 retval.insert (a, nr_insert); |
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184 return retval; |
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185 } |
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186 |
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187 ComplexRowVector |
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188 ComplexColumnVector::hermitian (void) const |
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189 { |
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190 int len = length (); |
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191 return ComplexRowVector (conj_dup (data (), len), len); |
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192 } |
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193 |
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194 ComplexRowVector |
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195 ComplexColumnVector::transpose (void) const |
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196 { |
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197 return ComplexRowVector (*this); |
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198 } |
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199 |
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200 ComplexColumnVector |
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201 conj (const ComplexColumnVector& a) |
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202 { |
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203 int a_len = a.length (); |
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204 ComplexColumnVector retval; |
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205 if (a_len > 0) |
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206 retval = ComplexColumnVector (conj_dup (a.data (), a_len), a_len); |
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207 return retval; |
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208 } |
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209 |
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210 // resize is the destructive equivalent for this one |
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211 |
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212 ComplexColumnVector |
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213 ComplexColumnVector::extract (int r1, int r2) const |
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214 { |
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215 if (r1 > r2) { int tmp = r1; r1 = r2; r2 = tmp; } |
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216 |
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217 int new_r = r2 - r1 + 1; |
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218 |
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219 ComplexColumnVector result (new_r); |
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220 |
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221 for (int i = 0; i < new_r; i++) |
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222 result.elem (i) = elem (r1+i); |
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223 |
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224 return result; |
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225 } |
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226 |
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227 // column vector by column vector -> column vector operations |
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228 |
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229 ComplexColumnVector& |
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230 ComplexColumnVector::operator += (const ColumnVector& a) |
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231 { |
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232 int len = length (); |
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233 |
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234 int a_len = a.length (); |
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235 |
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236 if (len != a_len) |
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237 { |
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238 gripe_nonconformant ("operator +=", len, a_len); |
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239 return *this; |
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240 } |
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241 |
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242 if (len == 0) |
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243 return *this; |
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244 |
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245 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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246 |
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247 add2 (d, a.data (), len); |
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248 return *this; |
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249 } |
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250 |
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251 ComplexColumnVector& |
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252 ComplexColumnVector::operator -= (const ColumnVector& a) |
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253 { |
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254 int len = length (); |
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255 |
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256 int a_len = a.length (); |
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257 |
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258 if (len != a_len) |
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259 { |
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260 gripe_nonconformant ("operator -=", len, a_len); |
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261 return *this; |
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262 } |
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263 |
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264 if (len == 0) |
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265 return *this; |
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266 |
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267 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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268 |
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269 subtract2 (d, a.data (), len); |
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270 return *this; |
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271 } |
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272 |
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273 // matrix by column vector -> column vector operations |
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274 |
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275 ComplexColumnVector |
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276 operator * (const ComplexMatrix& m, const ColumnVector& a) |
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277 { |
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278 ComplexColumnVector tmp (a); |
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279 return m * tmp; |
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280 } |
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281 |
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282 ComplexColumnVector |
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283 operator * (const ComplexMatrix& m, const ComplexColumnVector& a) |
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284 { |
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285 ComplexColumnVector retval; |
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286 |
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287 int nr = m.rows (); |
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288 int nc = m.cols (); |
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289 |
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290 int a_len = a.length (); |
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291 |
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292 if (nc != a_len) |
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293 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
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294 else |
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295 { |
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296 if (nc == 0 || nr == 0) |
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297 retval.resize (nr, 0.0); |
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298 else |
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299 { |
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300 int ld = nr; |
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301 |
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302 retval.resize (nr); |
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303 Complex *y = retval.fortran_vec (); |
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304 |
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305 F77_XFCN (zgemv, ZGEMV, ("N", nr, nc, 1.0, m.data (), ld, |
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306 a.data (), 1, 0.0, y, 1, 1L)); |
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307 |
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308 if (f77_exception_encountered) |
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309 (*current_liboctave_error_handler) |
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310 ("unrecoverable error in zgemv"); |
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311 } |
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312 } |
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313 |
1947
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314 return retval; |
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315 } |
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316 |
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317 // column vector by column vector -> column vector operations |
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318 |
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319 ComplexColumnVector |
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320 operator + (const ComplexColumnVector& v, const ColumnVector& a) |
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321 { |
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322 int len = v.length (); |
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323 |
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324 int a_len = a.length (); |
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325 |
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326 if (len != a_len) |
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327 { |
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328 gripe_nonconformant ("operator +", len, a_len); |
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329 return ComplexColumnVector (); |
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330 } |
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331 |
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332 if (len == 0) |
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333 return ComplexColumnVector (0); |
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334 |
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335 return ComplexColumnVector (add (v.data (), a.data (), len), len); |
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336 } |
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337 |
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338 ComplexColumnVector |
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339 operator - (const ComplexColumnVector& v, const ColumnVector& a) |
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340 { |
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341 int len = v.length (); |
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342 |
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343 int a_len = a.length (); |
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344 |
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345 if (len != a_len) |
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346 { |
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347 gripe_nonconformant ("operator -", len, a_len); |
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348 return ComplexColumnVector (); |
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349 } |
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350 |
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351 if (len == 0) |
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352 return ComplexColumnVector (0); |
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353 |
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354 return ComplexColumnVector (subtract (v.data (), a.data (), len), len); |
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355 } |
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356 |
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357 ComplexColumnVector |
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358 operator + (const ColumnVector& v, const ComplexColumnVector& a) |
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359 { |
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360 int len = v.length (); |
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361 |
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362 int a_len = a.length (); |
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363 |
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364 if (len != a_len) |
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365 { |
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366 gripe_nonconformant ("operator +", len, a_len); |
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367 return ComplexColumnVector (); |
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368 } |
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369 |
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370 if (len == 0) |
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371 return ComplexColumnVector (0); |
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372 |
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373 return ComplexColumnVector (add (v.data (), a.data (), len), len); |
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374 } |
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375 |
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376 ComplexColumnVector |
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377 operator - (const ColumnVector& v, const ComplexColumnVector& a) |
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378 { |
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379 int len = v.length (); |
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380 |
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381 int a_len = a.length (); |
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382 |
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383 if (len != a_len) |
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384 { |
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385 gripe_nonconformant ("operator -", len, a_len); |
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386 return ComplexColumnVector (); |
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387 } |
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388 |
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389 if (len == 0) |
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390 return ComplexColumnVector (0); |
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391 |
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392 return ComplexColumnVector (subtract (v.data (), a.data (), len), len); |
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393 } |
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394 |
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395 ComplexColumnVector |
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396 product (const ComplexColumnVector& v, const ColumnVector& a) |
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397 { |
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398 int len = v.length (); |
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399 |
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400 int a_len = a.length (); |
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401 |
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402 if (len != a_len) |
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403 { |
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404 gripe_nonconformant ("product", len, a_len); |
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405 return ComplexColumnVector (); |
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406 } |
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407 |
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408 if (len == 0) |
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409 return ComplexColumnVector (0); |
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410 |
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411 return ComplexColumnVector (multiply (v.data (), a.data (), len), len); |
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412 } |
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413 |
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414 ComplexColumnVector |
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415 quotient (const ComplexColumnVector& v, const ColumnVector& a) |
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416 { |
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417 int len = v.length (); |
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418 |
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419 int a_len = a.length (); |
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420 |
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421 if (len != a_len) |
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422 { |
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423 gripe_nonconformant ("quotient", len, a_len); |
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424 return ComplexColumnVector (); |
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425 } |
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426 |
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427 if (len == 0) |
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428 return ComplexColumnVector (0); |
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429 |
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430 return ComplexColumnVector (divide (v.data (), a.data (), len), len); |
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431 } |
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432 |
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433 ComplexColumnVector |
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434 product (const ColumnVector& v, const ComplexColumnVector& a) |
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435 { |
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436 int len = v.length (); |
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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 (len != a_len) |
1205
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441 { |
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442 gripe_nonconformant ("product", len, a_len); |
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443 return ColumnVector (); |
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444 } |
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445 |
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446 if (len == 0) |
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447 return ComplexColumnVector (0); |
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448 |
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449 return ComplexColumnVector (multiply (v.data (), a.data (), len), len); |
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450 } |
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451 |
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452 ComplexColumnVector |
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453 quotient (const ColumnVector& v, const ComplexColumnVector& a) |
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454 { |
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455 int len = v.length (); |
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456 |
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457 int a_len = a.length (); |
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458 |
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459 if (len != a_len) |
1205
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460 { |
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461 gripe_nonconformant ("quotient", len, a_len); |
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462 return ColumnVector (); |
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463 } |
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464 |
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465 if (len == 0) |
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466 return ComplexColumnVector (0); |
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467 |
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468 return ComplexColumnVector (divide (v.data (), a.data (), len), len); |
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469 } |
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470 |
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471 // matrix by column vector -> column vector operations |
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472 |
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473 ComplexColumnVector |
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474 operator * (const Matrix& m, const ComplexColumnVector& a) |
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475 { |
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476 ComplexMatrix tmp (m); |
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477 return tmp * a; |
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478 } |
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479 |
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480 // diagonal matrix by column vector -> column vector operations |
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481 |
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482 ComplexColumnVector |
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483 operator * (const DiagMatrix& m, const ComplexColumnVector& a) |
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484 { |
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485 int nr = m.rows (); |
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486 int nc = m.cols (); |
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487 |
1205
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488 int a_len = a.length (); |
2386
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489 |
1205
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490 if (nc != a_len) |
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491 { |
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492 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
1205
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493 return ColumnVector (); |
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494 } |
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495 |
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496 if (nc == 0 || nr == 0) |
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497 return ComplexColumnVector (0); |
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498 |
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499 ComplexColumnVector result (nr); |
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500 |
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501 for (int i = 0; i < a_len; i++) |
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502 result.elem (i) = a.elem (i) * m.elem (i, i); |
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503 |
1321
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504 for (int i = a_len; i < nr; i++) |
1205
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505 result.elem (i) = 0.0; |
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506 |
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507 return result; |
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508 } |
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509 |
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510 ComplexColumnVector |
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511 operator * (const ComplexDiagMatrix& m, const ColumnVector& a) |
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512 { |
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513 int nr = m.rows (); |
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514 int nc = m.cols (); |
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515 |
1205
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516 int a_len = a.length (); |
2386
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517 |
1205
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518 if (nc != a_len) |
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519 { |
2386
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520 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
1205
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521 return ComplexColumnVector (); |
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522 } |
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523 |
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524 if (nc == 0 || nr == 0) |
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525 return ComplexColumnVector (0); |
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526 |
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527 ComplexColumnVector result (nr); |
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528 |
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529 for (int i = 0; i < a_len; i++) |
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530 result.elem (i) = a.elem (i) * m.elem (i, i); |
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531 |
1321
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532 for (int i = a_len; i < nr; i++) |
1205
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533 result.elem (i) = 0.0; |
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534 |
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535 return result; |
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536 } |
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537 |
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538 ComplexColumnVector |
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539 operator * (const ComplexDiagMatrix& m, const ComplexColumnVector& a) |
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540 { |
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541 int nr = m.rows (); |
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542 int nc = m.cols (); |
2386
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543 |
1205
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544 int a_len = a.length (); |
2386
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545 |
1205
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546 if (nc != a_len) |
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547 { |
2386
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548 gripe_nonconformant ("operator *", nr, nc, a_len, 1); |
1205
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549 return ComplexColumnVector (); |
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550 } |
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551 |
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552 if (nc == 0 || nr == 0) |
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553 return ComplexColumnVector (0); |
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554 |
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555 ComplexColumnVector result (nr); |
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556 |
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557 for (int i = 0; i < a_len; i++) |
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558 result.elem (i) = a.elem (i) * m.elem (i, i); |
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559 |
1321
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560 for (int i = a_len; i < nr; i++) |
1205
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561 result.elem (i) = 0.0; |
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562 |
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563 return result; |
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564 } |
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565 |
458
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566 // other operations |
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567 |
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568 ComplexColumnVector |
2676
|
569 ComplexColumnVector::map (c_c_Mapper f) const |
458
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570 { |
2676
|
571 ComplexColumnVector b (*this); |
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572 return b.apply (f); |
458
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573 } |
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574 |
2676
|
575 ColumnVector |
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576 ComplexColumnVector::map (d_c_Mapper f) const |
458
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577 { |
2676
|
578 const Complex *d = data (); |
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579 |
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580 int len = length (); |
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581 |
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582 ColumnVector retval (len); |
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583 |
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584 double *r = retval.fortran_vec (); |
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585 |
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586 for (int i = 0; i < len; i++) |
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587 r[i] = f (d[i]); |
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588 |
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589 return retval; |
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590 } |
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591 |
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592 ComplexColumnVector& |
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593 ComplexColumnVector::apply (c_c_Mapper f) |
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594 { |
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595 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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596 |
458
|
597 for (int i = 0; i < length (); i++) |
2676
|
598 d[i] = f (d[i]); |
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599 |
|
600 return *this; |
458
|
601 } |
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602 |
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603 Complex |
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604 ComplexColumnVector::min (void) const |
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605 { |
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606 int len = length (); |
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607 if (len == 0) |
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608 return 0.0; |
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609 |
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610 Complex res = elem (0); |
|
611 double absres = abs (res); |
|
612 |
|
613 for (int i = 1; i < len; i++) |
|
614 if (abs (elem (i)) < absres) |
|
615 { |
|
616 res = elem (i); |
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617 absres = abs (res); |
|
618 } |
|
619 |
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620 return res; |
|
621 } |
|
622 |
|
623 Complex |
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624 ComplexColumnVector::max (void) const |
|
625 { |
|
626 int len = length (); |
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627 if (len == 0) |
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628 return 0.0; |
|
629 |
|
630 Complex res = elem (0); |
|
631 double absres = abs (res); |
|
632 |
|
633 for (int i = 1; i < len; i++) |
|
634 if (abs (elem (i)) > absres) |
|
635 { |
|
636 res = elem (i); |
|
637 absres = abs (res); |
|
638 } |
|
639 |
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640 return res; |
|
641 } |
|
642 |
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643 // i/o |
|
644 |
3504
|
645 std::ostream& |
|
646 operator << (std::ostream& os, const ComplexColumnVector& a) |
458
|
647 { |
|
648 // int field_width = os.precision () + 7; |
|
649 for (int i = 0; i < a.length (); i++) |
|
650 os << /* setw (field_width) << */ a.elem (i) << "\n"; |
|
651 return os; |
|
652 } |
|
653 |
3504
|
654 std::istream& |
|
655 operator >> (std::istream& is, ComplexColumnVector& a) |
458
|
656 { |
|
657 int len = a.length(); |
|
658 |
|
659 if (len < 1) |
3504
|
660 is.clear (std::ios::badbit); |
458
|
661 else |
|
662 { |
|
663 double tmp; |
|
664 for (int i = 0; i < len; i++) |
|
665 { |
|
666 is >> tmp; |
|
667 if (is) |
|
668 a.elem (i) = tmp; |
|
669 else |
|
670 break; |
|
671 } |
|
672 } |
532
|
673 return is; |
458
|
674 } |
|
675 |
|
676 /* |
|
677 ;;; Local Variables: *** |
|
678 ;;; mode: C++ *** |
|
679 ;;; End: *** |
|
680 */ |