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458
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1 // ColumnVector manipulations. -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1996 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.h> |
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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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458
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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 int |
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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 int |
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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 if (len != a.length ()) |
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234 { |
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235 (*current_liboctave_error_handler) |
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236 ("nonconformant vector += operation attempted"); |
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237 return *this; |
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238 } |
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239 |
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240 if (len == 0) |
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241 return *this; |
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242 |
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243 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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244 |
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245 add2 (d, a.data (), len); |
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246 return *this; |
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247 } |
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248 |
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249 ComplexColumnVector& |
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250 ComplexColumnVector::operator -= (const ColumnVector& a) |
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251 { |
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252 int len = length (); |
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253 if (len != a.length ()) |
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254 { |
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255 (*current_liboctave_error_handler) |
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256 ("nonconformant vector -= operation attempted"); |
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257 return *this; |
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258 } |
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259 |
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260 if (len == 0) |
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261 return *this; |
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262 |
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263 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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264 |
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265 subtract2 (d, a.data (), len); |
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266 return *this; |
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267 } |
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268 |
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269 ComplexColumnVector& |
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270 ComplexColumnVector::operator += (const ComplexColumnVector& a) |
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271 { |
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272 int len = length (); |
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273 |
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274 if (len != a.length ()) |
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275 { |
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276 (*current_liboctave_error_handler) |
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277 ("nonconformant vector += operation attempted"); |
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278 return *this; |
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279 } |
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280 |
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281 if (len == 0) |
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282 return *this; |
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283 |
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284 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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285 |
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286 add2 (d, a.data (), len); |
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287 return *this; |
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288 } |
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289 |
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290 ComplexColumnVector& |
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291 ComplexColumnVector::operator -= (const ComplexColumnVector& a) |
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292 { |
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293 int len = length (); |
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294 if (len != a.length ()) |
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295 { |
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296 (*current_liboctave_error_handler) |
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297 ("nonconformant vector -= operation attempted"); |
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298 return *this; |
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299 } |
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300 |
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301 if (len == 0) |
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302 return *this; |
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303 |
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304 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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305 |
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306 subtract2 (d, a.data (), len); |
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307 return *this; |
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308 } |
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309 |
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310 // column vector by scalar -> column vector operations |
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311 |
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312 ComplexColumnVector |
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313 operator + (const ComplexColumnVector& v, double s) |
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314 { |
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315 int len = v.length (); |
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316 return ComplexColumnVector (add (v.data (), len, s), len); |
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317 } |
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318 |
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319 ComplexColumnVector |
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320 operator - (const ComplexColumnVector& v, double s) |
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321 { |
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322 int len = v.length (); |
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323 return ComplexColumnVector (subtract (v.data (), len, s), len); |
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324 } |
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325 |
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326 ComplexColumnVector |
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327 operator * (const ComplexColumnVector& v, double s) |
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328 { |
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329 int len = v.length (); |
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330 return ComplexColumnVector (multiply (v.data (), len, s), len); |
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331 } |
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332 |
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333 ComplexColumnVector |
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334 operator / (const ComplexColumnVector& v, double s) |
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335 { |
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336 int len = v.length (); |
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337 return ComplexColumnVector (divide (v.data (), len, s), len); |
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338 } |
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339 |
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340 ComplexColumnVector |
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341 operator + (const ColumnVector& a, const Complex& s) |
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342 { |
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343 int len = a.length (); |
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344 return ComplexColumnVector (add (a.data (), len, s), len); |
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345 } |
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346 |
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347 ComplexColumnVector |
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348 operator - (const ColumnVector& a, const Complex& s) |
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349 { |
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350 int len = a.length (); |
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351 return ComplexColumnVector (subtract (a.data (), len, s), len); |
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352 } |
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353 |
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354 ComplexColumnVector |
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355 operator * (const ColumnVector& a, const Complex& s) |
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356 { |
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357 int len = a.length (); |
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358 return ComplexColumnVector (multiply (a.data (), len, s), len); |
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359 } |
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360 |
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361 ComplexColumnVector |
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362 operator / (const ColumnVector& a, const Complex& s) |
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363 { |
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364 int len = a.length (); |
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365 return ComplexColumnVector (divide (a.data (), len, s), len); |
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366 } |
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367 |
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458
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368 // scalar by column vector -> column vector operations |
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369 |
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370 ComplexColumnVector |
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371 operator + (double s, const ComplexColumnVector& a) |
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372 { |
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373 int a_len = a.length (); |
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374 return ComplexColumnVector (add (a.data (), a_len, s), a_len); |
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375 } |
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376 |
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377 ComplexColumnVector |
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378 operator - (double s, const ComplexColumnVector& a) |
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379 { |
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380 int a_len = a.length (); |
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381 return ComplexColumnVector (subtract (s, a.data (), a_len), a_len); |
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382 } |
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383 |
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384 ComplexColumnVector |
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385 operator * (double s, const ComplexColumnVector& a) |
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386 { |
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387 int a_len = a.length (); |
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388 return ComplexColumnVector (multiply (a.data (), a_len, s), a_len); |
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389 } |
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390 |
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391 ComplexColumnVector |
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392 operator / (double s, const ComplexColumnVector& a) |
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393 { |
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394 int a_len = a.length (); |
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395 return ComplexColumnVector (divide (s, a.data (), a_len), a_len); |
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396 } |
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397 |
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1205
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398 ComplexColumnVector |
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399 operator + (const Complex& s, const ColumnVector& a) |
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400 { |
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401 int a_len = a.length (); |
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402 return ComplexColumnVector (add (a.data (), a_len, s), a_len); |
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403 } |
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404 |
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405 ComplexColumnVector |
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406 operator - (const Complex& s, const ColumnVector& a) |
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407 { |
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408 int a_len = a.length (); |
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409 return ComplexColumnVector (subtract (s, a.data (), a_len), a_len); |
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410 } |
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411 |
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412 ComplexColumnVector |
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413 operator * (const Complex& s, const ColumnVector& a) |
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414 { |
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415 int a_len = a.length (); |
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416 return ComplexColumnVector (multiply (a.data (), a_len, s), a_len); |
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417 } |
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458
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418 |
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1205
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419 ComplexColumnVector |
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420 operator / (const Complex& s, const ColumnVector& a) |
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458
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421 { |
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422 int a_len = a.length (); |
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423 return ComplexColumnVector (divide (s, a.data (), a_len), a_len); |
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424 } |
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425 |
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426 // matrix by column vector -> column vector operations |
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427 |
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428 ComplexColumnVector |
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429 operator * (const ComplexMatrix& m, const ColumnVector& a) |
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430 { |
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431 ComplexColumnVector tmp (a); |
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432 return m * tmp; |
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433 } |
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434 |
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435 ComplexColumnVector |
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436 operator * (const ComplexMatrix& m, const ComplexColumnVector& a) |
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437 { |
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438 int nr = m.rows (); |
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439 int nc = m.cols (); |
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440 if (nc != a.length ()) |
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458
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441 { |
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442 (*current_liboctave_error_handler) |
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1205
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443 ("nonconformant matrix multiplication attempted"); |
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444 return ComplexColumnVector (); |
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458
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445 } |
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446 |
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1205
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447 if (nc == 0 || nr == 0) |
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448 return ComplexColumnVector (0); |
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458
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449 |
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1205
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450 int ld = nr; |
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458
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451 |
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1205
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452 Complex *y = new Complex [nr]; |
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458
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453 |
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1253
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454 F77_FCN (zgemv, ZGEMV) ("N", nr, nc, 1.0, m.data (), ld, a.data (), |
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455 1, 0.0, y, 1, 1L); |
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458
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456 |
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1205
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457 return ComplexColumnVector (y, nr); |
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458
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458 } |
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459 |
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460 // column vector by column vector -> column vector operations |
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461 |
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462 ComplexColumnVector |
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463 operator + (const ComplexColumnVector& v, const ColumnVector& a) |
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464 { |
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465 int len = v.length (); |
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466 if (len != a.length ()) |
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467 { |
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468 (*current_liboctave_error_handler) |
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469 ("nonconformant vector addition attempted"); |
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470 return ComplexColumnVector (); |
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471 } |
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472 |
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473 if (len == 0) |
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474 return ComplexColumnVector (0); |
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475 |
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476 return ComplexColumnVector (add (v.data (), a.data (), len), len); |
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477 } |
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478 |
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479 ComplexColumnVector |
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480 operator - (const ComplexColumnVector& v, const ColumnVector& a) |
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481 { |
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482 int len = v.length (); |
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483 if (len != a.length ()) |
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484 { |
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485 (*current_liboctave_error_handler) |
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486 ("nonconformant vector subtraction attempted"); |
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487 return ComplexColumnVector (); |
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488 } |
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489 |
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490 if (len == 0) |
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491 return ComplexColumnVector (0); |
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492 |
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493 return ComplexColumnVector (subtract (v.data (), a.data (), len), len); |
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494 } |
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495 |
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496 ComplexColumnVector |
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1205
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497 operator + (const ColumnVector& v, const ComplexColumnVector& a) |
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498 { |
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499 int len = v.length (); |
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500 if (len != a.length ()) |
|
|
501 { |
|
|
502 (*current_liboctave_error_handler) |
|
|
503 ("nonconformant vector subtraction attempted"); |
|
|
504 return ComplexColumnVector (); |
|
|
505 } |
|
|
506 |
|
|
507 if (len == 0) |
|
|
508 return ComplexColumnVector (0); |
|
|
509 |
|
|
510 return ComplexColumnVector (add (v.data (), a.data (), len), len); |
|
|
511 } |
|
|
512 |
|
|
513 ComplexColumnVector |
|
|
514 operator - (const ColumnVector& v, const ComplexColumnVector& a) |
|
|
515 { |
|
|
516 int len = v.length (); |
|
|
517 if (len != a.length ()) |
|
|
518 { |
|
|
519 (*current_liboctave_error_handler) |
|
|
520 ("nonconformant vector subtraction attempted"); |
|
|
521 return ComplexColumnVector (); |
|
|
522 } |
|
|
523 |
|
|
524 if (len == 0) |
|
|
525 return ComplexColumnVector (0); |
|
|
526 |
|
|
527 return ComplexColumnVector (subtract (v.data (), a.data (), len), len); |
|
|
528 } |
|
|
529 |
|
|
530 ComplexColumnVector |
|
458
|
531 product (const ComplexColumnVector& v, const ColumnVector& a) |
|
|
532 { |
|
|
533 int len = v.length (); |
|
|
534 if (len != a.length ()) |
|
|
535 { |
|
|
536 (*current_liboctave_error_handler) |
|
|
537 ("nonconformant vector product attempted"); |
|
|
538 return ComplexColumnVector (); |
|
|
539 } |
|
|
540 |
|
|
541 if (len == 0) |
|
|
542 return ComplexColumnVector (0); |
|
|
543 |
|
|
544 return ComplexColumnVector (multiply (v.data (), a.data (), len), len); |
|
|
545 } |
|
|
546 |
|
|
547 ComplexColumnVector |
|
|
548 quotient (const ComplexColumnVector& v, const ColumnVector& a) |
|
|
549 { |
|
|
550 int len = v.length (); |
|
|
551 if (len != a.length ()) |
|
|
552 { |
|
|
553 (*current_liboctave_error_handler) |
|
|
554 ("nonconformant vector quotient attempted"); |
|
|
555 return ComplexColumnVector (); |
|
|
556 } |
|
|
557 |
|
|
558 if (len == 0) |
|
|
559 return ComplexColumnVector (0); |
|
|
560 |
|
|
561 return ComplexColumnVector (divide (v.data (), a.data (), len), len); |
|
|
562 } |
|
|
563 |
|
1205
|
564 ComplexColumnVector |
|
|
565 product (const ColumnVector& v, const ComplexColumnVector& a) |
|
|
566 { |
|
|
567 int len = v.length (); |
|
|
568 if (len != a.length ()) |
|
|
569 { |
|
|
570 (*current_liboctave_error_handler) |
|
|
571 ("nonconformant vector product attempted"); |
|
|
572 return ColumnVector (); |
|
|
573 } |
|
|
574 |
|
|
575 if (len == 0) |
|
|
576 return ComplexColumnVector (0); |
|
|
577 |
|
|
578 return ComplexColumnVector (multiply (v.data (), a.data (), len), len); |
|
|
579 } |
|
|
580 |
|
|
581 ComplexColumnVector |
|
|
582 quotient (const ColumnVector& v, const ComplexColumnVector& a) |
|
|
583 { |
|
|
584 int len = v.length (); |
|
|
585 if (len != a.length ()) |
|
|
586 { |
|
|
587 (*current_liboctave_error_handler) |
|
|
588 ("nonconformant vector quotient attempted"); |
|
|
589 return ColumnVector (); |
|
|
590 } |
|
|
591 |
|
|
592 if (len == 0) |
|
|
593 return ComplexColumnVector (0); |
|
|
594 |
|
|
595 return ComplexColumnVector (divide (v.data (), a.data (), len), len); |
|
|
596 } |
|
|
597 |
|
|
598 // matrix by column vector -> column vector operations |
|
|
599 |
|
|
600 ComplexColumnVector |
|
|
601 operator * (const Matrix& m, const ComplexColumnVector& a) |
|
|
602 { |
|
|
603 ComplexMatrix tmp (m); |
|
|
604 return tmp * a; |
|
|
605 } |
|
|
606 |
|
|
607 // diagonal matrix by column vector -> column vector operations |
|
|
608 |
|
|
609 ComplexColumnVector |
|
|
610 operator * (const DiagMatrix& m, const ComplexColumnVector& a) |
|
|
611 { |
|
|
612 int nr = m.rows (); |
|
|
613 int nc = m.cols (); |
|
|
614 int a_len = a.length (); |
|
|
615 if (nc != a_len) |
|
|
616 { |
|
|
617 (*current_liboctave_error_handler) |
|
|
618 ("nonconformant matrix multiplication attempted"); |
|
|
619 return ColumnVector (); |
|
|
620 } |
|
|
621 |
|
|
622 if (nc == 0 || nr == 0) |
|
|
623 return ComplexColumnVector (0); |
|
|
624 |
|
|
625 ComplexColumnVector result (nr); |
|
|
626 |
|
|
627 for (int i = 0; i < a_len; i++) |
|
|
628 result.elem (i) = a.elem (i) * m.elem (i, i); |
|
|
629 |
|
1321
|
630 for (int i = a_len; i < nr; i++) |
|
1205
|
631 result.elem (i) = 0.0; |
|
|
632 |
|
|
633 return result; |
|
|
634 } |
|
|
635 |
|
|
636 ComplexColumnVector |
|
|
637 operator * (const ComplexDiagMatrix& m, const ColumnVector& a) |
|
|
638 { |
|
|
639 int nr = m.rows (); |
|
|
640 int nc = m.cols (); |
|
|
641 int a_len = a.length (); |
|
|
642 if (nc != a_len) |
|
|
643 { |
|
|
644 (*current_liboctave_error_handler) |
|
|
645 ("nonconformant matrix muliplication attempted"); |
|
|
646 return ComplexColumnVector (); |
|
|
647 } |
|
|
648 |
|
|
649 if (nc == 0 || nr == 0) |
|
|
650 return ComplexColumnVector (0); |
|
|
651 |
|
|
652 ComplexColumnVector result (nr); |
|
|
653 |
|
|
654 for (int i = 0; i < a_len; i++) |
|
|
655 result.elem (i) = a.elem (i) * m.elem (i, i); |
|
|
656 |
|
1321
|
657 for (int i = a_len; i < nr; i++) |
|
1205
|
658 result.elem (i) = 0.0; |
|
|
659 |
|
|
660 return result; |
|
|
661 } |
|
|
662 |
|
|
663 ComplexColumnVector |
|
|
664 operator * (const ComplexDiagMatrix& m, const ComplexColumnVector& a) |
|
|
665 { |
|
|
666 int nr = m.rows (); |
|
|
667 int nc = m.cols (); |
|
|
668 int a_len = a.length (); |
|
|
669 if (nc != a_len) |
|
|
670 { |
|
|
671 (*current_liboctave_error_handler) |
|
|
672 ("nonconformant matrix muliplication attempted"); |
|
|
673 return ComplexColumnVector (); |
|
|
674 } |
|
|
675 |
|
|
676 if (nc == 0 || nr == 0) |
|
|
677 return ComplexColumnVector (0); |
|
|
678 |
|
|
679 ComplexColumnVector result (nr); |
|
|
680 |
|
|
681 for (int i = 0; i < a_len; i++) |
|
|
682 result.elem (i) = a.elem (i) * m.elem (i, i); |
|
|
683 |
|
1321
|
684 for (int i = a_len; i < nr; i++) |
|
1205
|
685 result.elem (i) = 0.0; |
|
|
686 |
|
|
687 return result; |
|
|
688 } |
|
|
689 |
|
458
|
690 // other operations |
|
|
691 |
|
|
692 ComplexColumnVector |
|
|
693 map (c_c_Mapper f, const ComplexColumnVector& a) |
|
|
694 { |
|
|
695 ComplexColumnVector b (a); |
|
|
696 b.map (f); |
|
|
697 return b; |
|
|
698 } |
|
|
699 |
|
|
700 void |
|
|
701 ComplexColumnVector::map (c_c_Mapper f) |
|
|
702 { |
|
|
703 for (int i = 0; i < length (); i++) |
|
|
704 elem (i) = f (elem (i)); |
|
|
705 } |
|
|
706 |
|
|
707 Complex |
|
|
708 ComplexColumnVector::min (void) const |
|
|
709 { |
|
|
710 int len = length (); |
|
|
711 if (len == 0) |
|
|
712 return 0.0; |
|
|
713 |
|
|
714 Complex res = elem (0); |
|
|
715 double absres = abs (res); |
|
|
716 |
|
|
717 for (int i = 1; i < len; i++) |
|
|
718 if (abs (elem (i)) < absres) |
|
|
719 { |
|
|
720 res = elem (i); |
|
|
721 absres = abs (res); |
|
|
722 } |
|
|
723 |
|
|
724 return res; |
|
|
725 } |
|
|
726 |
|
|
727 Complex |
|
|
728 ComplexColumnVector::max (void) const |
|
|
729 { |
|
|
730 int len = length (); |
|
|
731 if (len == 0) |
|
|
732 return 0.0; |
|
|
733 |
|
|
734 Complex res = elem (0); |
|
|
735 double absres = abs (res); |
|
|
736 |
|
|
737 for (int i = 1; i < len; i++) |
|
|
738 if (abs (elem (i)) > absres) |
|
|
739 { |
|
|
740 res = elem (i); |
|
|
741 absres = abs (res); |
|
|
742 } |
|
|
743 |
|
|
744 return res; |
|
|
745 } |
|
|
746 |
|
|
747 // i/o |
|
|
748 |
|
|
749 ostream& |
|
|
750 operator << (ostream& os, const ComplexColumnVector& a) |
|
|
751 { |
|
|
752 // int field_width = os.precision () + 7; |
|
|
753 for (int i = 0; i < a.length (); i++) |
|
|
754 os << /* setw (field_width) << */ a.elem (i) << "\n"; |
|
|
755 return os; |
|
|
756 } |
|
|
757 |
|
|
758 istream& |
|
|
759 operator >> (istream& is, ComplexColumnVector& a) |
|
|
760 { |
|
|
761 int len = a.length(); |
|
|
762 |
|
|
763 if (len < 1) |
|
|
764 is.clear (ios::badbit); |
|
|
765 else |
|
|
766 { |
|
|
767 double tmp; |
|
|
768 for (int i = 0; i < len; i++) |
|
|
769 { |
|
|
770 is >> tmp; |
|
|
771 if (is) |
|
|
772 a.elem (i) = tmp; |
|
|
773 else |
|
|
774 break; |
|
|
775 } |
|
|
776 } |
|
532
|
777 return is; |
|
458
|
778 } |
|
|
779 |
|
|
780 /* |
|
|
781 ;;; Local Variables: *** |
|
|
782 ;;; mode: C++ *** |
|
|
783 ;;; page-delimiter: "^/\\*" *** |
|
|
784 ;;; End: *** |
|
|
785 */ |
