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1993
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1 // RowVector manipulations. |
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458
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2 /* |
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3 |
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2847
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4 Copyright (C) 1996, 1997 John W. Eaton |
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458
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 #ifdef HAVE_CONFIG_H |
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1192
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25 #include <config.h> |
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458
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26 #endif |
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27 |
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3503
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28 #include <iostream> |
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29 |
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4669
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30 #include "Array-util.h" |
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1847
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31 #include "f77-fcn.h" |
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1368
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32 #include "lo-error.h" |
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458
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33 #include "mx-base.h" |
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34 #include "mx-inlines.cc" |
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1650
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35 #include "oct-cmplx.h" |
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458
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36 |
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37 // Fortran functions we call. |
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38 |
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39 extern "C" |
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40 { |
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4552
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41 F77_RET_T |
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42 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
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5275
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43 const octave_idx_type&, const octave_idx_type&, const Complex&, |
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44 const Complex*, const octave_idx_type&, const Complex*, |
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45 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& |
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4552
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46 F77_CHAR_ARG_LEN_DECL); |
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458
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47 } |
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48 |
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1360
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49 // Complex Row Vector class |
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458
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50 |
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51 ComplexRowVector::ComplexRowVector (const RowVector& a) |
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1214
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52 : MArray<Complex> (a.length ()) |
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458
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53 { |
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54 for (octave_idx_type i = 0; i < length (); i++) |
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458
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55 elem (i) = a.elem (i); |
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56 } |
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57 |
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2386
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58 bool |
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458
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59 ComplexRowVector::operator == (const ComplexRowVector& a) const |
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60 { |
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5275
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61 octave_idx_type len = length (); |
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458
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62 if (len != a.length ()) |
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63 return 0; |
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64 return mx_inline_equal (data (), a.data (), len); |
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458
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65 } |
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66 |
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67 bool |
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458
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68 ComplexRowVector::operator != (const ComplexRowVector& a) const |
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69 { |
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70 return !(*this == a); |
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71 } |
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72 |
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73 // destructive insert/delete/reorder operations |
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74 |
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75 ComplexRowVector& |
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5275
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76 ComplexRowVector::insert (const RowVector& a, octave_idx_type c) |
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458
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77 { |
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5275
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78 octave_idx_type a_len = a.length (); |
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4316
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79 |
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1699
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80 if (c < 0 || c + a_len > length ()) |
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458
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81 { |
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82 (*current_liboctave_error_handler) ("range error for insert"); |
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83 return *this; |
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84 } |
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85 |
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4316
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86 if (a_len > 0) |
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87 { |
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88 make_unique (); |
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89 |
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5275
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90 for (octave_idx_type i = 0; i < a_len; i++) |
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91 xelem (c+i) = a.elem (i); |
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92 } |
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93 |
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94 return *this; |
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95 } |
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96 |
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97 ComplexRowVector& |
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98 ComplexRowVector::insert (const ComplexRowVector& a, octave_idx_type c) |
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458
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99 { |
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5275
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100 octave_idx_type a_len = a.length (); |
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101 |
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1699
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102 if (c < 0 || c + a_len > length ()) |
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103 { |
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104 (*current_liboctave_error_handler) ("range error for insert"); |
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105 return *this; |
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106 } |
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107 |
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108 if (a_len > 0) |
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109 { |
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110 make_unique (); |
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111 |
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112 for (octave_idx_type i = 0; i < a_len; i++) |
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113 xelem (c+i) = a.elem (i); |
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114 } |
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115 |
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116 return *this; |
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117 } |
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118 |
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119 ComplexRowVector& |
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120 ComplexRowVector::fill (double val) |
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121 { |
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122 octave_idx_type len = length (); |
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123 |
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458
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124 if (len > 0) |
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4316
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125 { |
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126 make_unique (); |
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127 |
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128 for (octave_idx_type i = 0; i < len; i++) |
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129 xelem (i) = val; |
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130 } |
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131 |
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458
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132 return *this; |
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133 } |
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134 |
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135 ComplexRowVector& |
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136 ComplexRowVector::fill (const Complex& val) |
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137 { |
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138 octave_idx_type len = length (); |
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139 |
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458
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140 if (len > 0) |
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4316
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141 { |
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142 make_unique (); |
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143 |
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5275
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144 for (octave_idx_type i = 0; i < len; i++) |
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145 xelem (i) = val; |
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146 } |
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147 |
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458
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148 return *this; |
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149 } |
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150 |
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151 ComplexRowVector& |
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5275
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152 ComplexRowVector::fill (double val, octave_idx_type c1, octave_idx_type c2) |
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458
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153 { |
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5275
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154 octave_idx_type len = length (); |
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155 |
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458
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156 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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157 { |
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158 (*current_liboctave_error_handler) ("range error for fill"); |
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159 return *this; |
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160 } |
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161 |
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5275
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162 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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163 |
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4316
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164 if (c2 >= c1) |
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165 { |
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166 make_unique (); |
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167 |
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5275
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168 for (octave_idx_type i = c1; i <= c2; i++) |
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169 xelem (i) = val; |
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170 } |
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458
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171 |
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172 return *this; |
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173 } |
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174 |
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175 ComplexRowVector& |
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5275
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176 ComplexRowVector::fill (const Complex& val, octave_idx_type c1, octave_idx_type c2) |
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458
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177 { |
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5275
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178 octave_idx_type len = length (); |
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179 |
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458
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180 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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181 { |
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182 (*current_liboctave_error_handler) ("range error for fill"); |
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183 return *this; |
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184 } |
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185 |
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5275
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186 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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458
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187 |
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4316
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188 if (c2 >= c1) |
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189 { |
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190 make_unique (); |
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191 |
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5275
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192 for (octave_idx_type i = c1; i <= c2; i++) |
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4316
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193 xelem (i) = val; |
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194 } |
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458
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195 |
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196 return *this; |
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197 } |
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198 |
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199 ComplexRowVector |
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200 ComplexRowVector::append (const RowVector& a) const |
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201 { |
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5275
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202 octave_idx_type len = length (); |
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203 octave_idx_type nc_insert = len; |
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458
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204 ComplexRowVector retval (len + a.length ()); |
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205 retval.insert (*this, 0); |
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206 retval.insert (a, nc_insert); |
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207 return retval; |
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208 } |
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209 |
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210 ComplexRowVector |
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211 ComplexRowVector::append (const ComplexRowVector& a) const |
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212 { |
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5275
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213 octave_idx_type len = length (); |
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214 octave_idx_type nc_insert = len; |
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458
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215 ComplexRowVector retval (len + a.length ()); |
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216 retval.insert (*this, 0); |
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217 retval.insert (a, nc_insert); |
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218 return retval; |
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219 } |
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220 |
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221 ComplexColumnVector |
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222 ComplexRowVector::hermitian (void) const |
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223 { |
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5275
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224 octave_idx_type len = length (); |
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3769
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225 return ComplexColumnVector (mx_inline_conj_dup (data (), len), len); |
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458
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226 } |
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227 |
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228 ComplexColumnVector |
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229 ComplexRowVector::transpose (void) const |
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230 { |
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1858
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231 return ComplexColumnVector (*this); |
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458
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232 } |
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233 |
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234 ComplexRowVector |
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235 conj (const ComplexRowVector& a) |
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236 { |
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5275
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237 octave_idx_type a_len = a.length (); |
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458
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238 ComplexRowVector retval; |
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239 if (a_len > 0) |
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240 retval = ComplexRowVector (mx_inline_conj_dup (a.data (), a_len), a_len); |
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458
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241 return retval; |
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242 } |
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243 |
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244 // resize is the destructive equivalent for this one |
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245 |
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246 ComplexRowVector |
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5275
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247 ComplexRowVector::extract (octave_idx_type c1, octave_idx_type c2) const |
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458
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248 { |
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5275
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249 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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458
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250 |
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5275
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251 octave_idx_type new_c = c2 - c1 + 1; |
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458
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252 |
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253 ComplexRowVector result (new_c); |
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254 |
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5275
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255 for (octave_idx_type i = 0; i < new_c; i++) |
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458
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256 result.elem (i) = elem (c1+i); |
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257 |
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258 return result; |
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259 } |
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260 |
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4316
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261 ComplexRowVector |
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5275
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262 ComplexRowVector::extract_n (octave_idx_type r1, octave_idx_type n) const |
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4316
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263 { |
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264 ComplexRowVector result (n); |
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265 |
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5275
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266 for (octave_idx_type i = 0; i < n; i++) |
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4316
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267 result.elem (i) = elem (r1+i); |
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268 |
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269 return result; |
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270 } |
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271 |
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458
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272 // row vector by row vector -> row vector operations |
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273 |
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274 ComplexRowVector& |
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275 ComplexRowVector::operator += (const RowVector& a) |
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276 { |
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5275
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277 octave_idx_type len = length (); |
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2386
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278 |
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5275
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279 octave_idx_type a_len = a.length (); |
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2386
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280 |
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281 if (len != a_len) |
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458
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282 { |
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2386
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283 gripe_nonconformant ("operator +=", len, a_len); |
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458
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284 return *this; |
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285 } |
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286 |
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287 if (len == 0) |
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288 return *this; |
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289 |
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290 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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291 |
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3769
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292 mx_inline_add2 (d, a.data (), len); |
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458
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293 return *this; |
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294 } |
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295 |
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296 ComplexRowVector& |
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297 ComplexRowVector::operator -= (const RowVector& a) |
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298 { |
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5275
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299 octave_idx_type len = length (); |
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2386
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300 |
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5275
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301 octave_idx_type a_len = a.length (); |
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2386
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302 |
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303 if (len != a_len) |
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458
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304 { |
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2386
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305 gripe_nonconformant ("operator -=", len, a_len); |
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458
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306 return *this; |
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307 } |
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308 |
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309 if (len == 0) |
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310 return *this; |
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311 |
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312 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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313 |
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3769
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314 mx_inline_subtract2 (d, a.data (), len); |
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458
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315 return *this; |
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316 } |
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317 |
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318 // row vector by matrix -> row vector |
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319 |
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320 ComplexRowVector |
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321 operator * (const ComplexRowVector& v, const ComplexMatrix& a) |
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322 { |
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1947
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323 ComplexRowVector retval; |
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324 |
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5275
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325 octave_idx_type len = v.length (); |
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1947
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326 |
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5275
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327 octave_idx_type a_nr = a.rows (); |
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328 octave_idx_type a_nc = a.cols (); |
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2386
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329 |
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330 if (a_nr != len) |
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331 gripe_nonconformant ("operator *", 1, len, a_nr, a_nc); |
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1947
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332 else |
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458
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333 { |
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1947
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334 if (len == 0) |
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335 retval.resize (a_nc, 0.0); |
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336 else |
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337 { |
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338 // Transpose A to form A'*x == (x'*A)' |
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339 |
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5275
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340 octave_idx_type ld = a_nr; |
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1947
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341 |
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342 retval.resize (a_nc); |
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343 Complex *y = retval.fortran_vec (); |
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344 |
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4552
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345 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 ("T", 1), |
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346 a_nr, a_nc, 1.0, a.data (), |
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347 ld, v.data (), 1, 0.0, y, 1 |
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348 F77_CHAR_ARG_LEN (1))); |
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1947
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349 |
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350 if (f77_exception_encountered) |
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351 (*current_liboctave_error_handler) |
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352 ("unrecoverable error in zgemv"); |
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353 } |
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458
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354 } |
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355 |
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1947
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356 return retval; |
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458
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357 } |
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358 |
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1205
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359 ComplexRowVector |
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360 operator * (const RowVector& v, const ComplexMatrix& a) |
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361 { |
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362 ComplexRowVector tmp (v); |
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363 return tmp * a; |
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364 } |
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365 |
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458
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366 // other operations |
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367 |
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368 ComplexRowVector |
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2676
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369 ComplexRowVector::map (c_c_Mapper f) const |
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458
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370 { |
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2676
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371 ComplexRowVector b (*this); |
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372 return b.apply (f); |
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458
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373 } |
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374 |
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2676
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375 RowVector |
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376 ComplexRowVector::map (d_c_Mapper f) const |
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458
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377 { |
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2676
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378 const Complex *d = data (); |
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379 |
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5275
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380 octave_idx_type len = length (); |
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2676
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381 |
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382 RowVector retval (len); |
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383 |
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384 double *r = retval.fortran_vec (); |
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385 |
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5275
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386 for (octave_idx_type i = 0; i < len; i++) |
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2676
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387 r[i] = f (d[i]); |
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388 |
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389 return retval; |
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390 } |
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391 |
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392 ComplexRowVector& |
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393 ComplexRowVector::apply (c_c_Mapper f) |
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394 { |
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395 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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396 |
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5275
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397 for (octave_idx_type i = 0; i < length (); i++) |
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2676
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398 d[i] = f (d[i]); |
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399 |
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400 return *this; |
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458
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401 } |
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402 |
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403 Complex |
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404 ComplexRowVector::min (void) const |
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405 { |
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5275
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406 octave_idx_type len = length (); |
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458
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407 if (len == 0) |
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408 return Complex (0.0); |
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409 |
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410 Complex res = elem (0); |
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5260
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411 double absres = std::abs (res); |
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458
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412 |
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5275
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413 for (octave_idx_type i = 1; i < len; i++) |
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5260
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414 if (std::abs (elem (i)) < absres) |
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458
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415 { |
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416 res = elem (i); |
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5260
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417 absres = std::abs (res); |
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458
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418 } |
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419 |
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420 return res; |
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421 } |
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422 |
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423 Complex |
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424 ComplexRowVector::max (void) const |
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425 { |
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5275
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426 octave_idx_type len = length (); |
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458
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427 if (len == 0) |
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428 return Complex (0.0); |
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429 |
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430 Complex res = elem (0); |
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5260
|
431 double absres = std::abs (res); |
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458
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432 |
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5275
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433 for (octave_idx_type i = 1; i < len; i++) |
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5260
|
434 if (std::abs (elem (i)) > absres) |
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458
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435 { |
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436 res = elem (i); |
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5260
|
437 absres = std::abs (res); |
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458
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438 } |
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439 |
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440 return res; |
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441 } |
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442 |
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443 // i/o |
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444 |
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3504
|
445 std::ostream& |
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|
446 operator << (std::ostream& os, const ComplexRowVector& a) |
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458
|
447 { |
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|
448 // int field_width = os.precision () + 7; |
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5275
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449 for (octave_idx_type i = 0; i < a.length (); i++) |
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458
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450 os << " " /* setw (field_width) */ << a.elem (i); |
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|
451 return os; |
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|
452 } |
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|
453 |
|
3504
|
454 std::istream& |
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|
455 operator >> (std::istream& is, ComplexRowVector& a) |
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458
|
456 { |
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5275
|
457 octave_idx_type len = a.length(); |
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458
|
458 |
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|
459 if (len < 1) |
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3504
|
460 is.clear (std::ios::badbit); |
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458
|
461 else |
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|
462 { |
|
|
463 Complex tmp; |
|
5275
|
464 for (octave_idx_type i = 0; i < len; i++) |
|
458
|
465 { |
|
|
466 is >> tmp; |
|
|
467 if (is) |
|
|
468 a.elem (i) = tmp; |
|
|
469 else |
|
|
470 break; |
|
|
471 } |
|
|
472 } |
|
532
|
473 return is; |
|
458
|
474 } |
|
|
475 |
|
1205
|
476 // row vector by column vector -> scalar |
|
|
477 |
|
|
478 // row vector by column vector -> scalar |
|
|
479 |
|
|
480 Complex |
|
|
481 operator * (const ComplexRowVector& v, const ColumnVector& a) |
|
|
482 { |
|
|
483 ComplexColumnVector tmp (a); |
|
|
484 return v * tmp; |
|
|
485 } |
|
|
486 |
|
|
487 Complex |
|
|
488 operator * (const ComplexRowVector& v, const ComplexColumnVector& a) |
|
|
489 { |
|
5275
|
490 octave_idx_type len = v.length (); |
|
2386
|
491 |
|
5275
|
492 octave_idx_type a_len = a.length (); |
|
2386
|
493 |
|
|
494 if (len != a_len) |
|
1205
|
495 { |
|
2386
|
496 gripe_nonconformant ("operator *", len, a_len); |
|
1205
|
497 return 0.0; |
|
|
498 } |
|
|
499 |
|
|
500 Complex retval (0.0, 0.0); |
|
|
501 |
|
5275
|
502 for (octave_idx_type i = 0; i < len; i++) |
|
1205
|
503 retval += v.elem (i) * a.elem (i); |
|
|
504 |
|
|
505 return retval; |
|
|
506 } |
|
|
507 |
|
|
508 // other operations |
|
|
509 |
|
|
510 ComplexRowVector |
|
5275
|
511 linspace (const Complex& x1, const Complex& x2, octave_idx_type n) |
|
1205
|
512 { |
|
|
513 ComplexRowVector retval; |
|
|
514 |
|
|
515 if (n > 0) |
|
|
516 { |
|
|
517 retval.resize (n); |
|
3092
|
518 Complex delta = (x2 - x1) / (n - 1.0); |
|
1205
|
519 retval.elem (0) = x1; |
|
5275
|
520 for (octave_idx_type i = 1; i < n-1; i++) |
|
3092
|
521 retval.elem (i) = x1 + 1.0 * i * delta; |
|
1205
|
522 retval.elem (n-1) = x2; |
|
|
523 } |
|
3322
|
524 else if (n == 1) |
|
|
525 { |
|
|
526 if (x1 == x2) |
|
|
527 { |
|
|
528 retval.resize (1); |
|
|
529 retval.elem (0) = x1; |
|
|
530 } |
|
|
531 else |
|
|
532 (*current_liboctave_error_handler) |
|
|
533 ("linspace: npoints is 1, but x1 != x2"); |
|
|
534 } |
|
|
535 else |
|
|
536 (*current_liboctave_error_handler) |
|
|
537 ("linspace: npoints must be greater than 0"); |
|
1205
|
538 |
|
|
539 return retval; |
|
|
540 } |
|
|
541 |
|
458
|
542 /* |
|
|
543 ;;; Local Variables: *** |
|
|
544 ;;; mode: C++ *** |
|
|
545 ;;; End: *** |
|
|
546 */ |
