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1 // RowVector manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1994, 1995, 1996, 1997, 1999, 2000, 2001, 2002, 2003, |
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5 2004, 2005, 2006, 2007 John W. Eaton |
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6 |
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7 This file is part of Octave. |
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8 |
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9 Octave is free software; you can redistribute it and/or modify it |
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10 under the terms of the GNU General Public License as published by the |
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11 Free Software Foundation; either version 3 of the License, or (at your |
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12 option) any later version. |
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13 |
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14 Octave is distributed in the hope that it will be useful, but WITHOUT |
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15 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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16 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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17 for more details. |
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18 |
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19 You should have received a copy of the GNU General Public License |
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20 along with Octave; see the file COPYING. If not, see |
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21 <http://www.gnu.org/licenses/>. |
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22 |
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23 */ |
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24 |
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25 #ifdef HAVE_CONFIG_H |
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26 #include <config.h> |
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27 #endif |
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28 |
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29 #include <iostream> |
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30 |
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31 #include "Array-util.h" |
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32 #include "f77-fcn.h" |
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33 #include "lo-error.h" |
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34 #include "mx-base.h" |
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35 #include "mx-inlines.cc" |
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36 #include "oct-cmplx.h" |
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37 |
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38 // Fortran functions we call. |
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39 |
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40 extern "C" |
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41 { |
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42 F77_RET_T |
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43 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
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44 const octave_idx_type&, const octave_idx_type&, const Complex&, |
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45 const Complex*, const octave_idx_type&, const Complex*, |
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46 const octave_idx_type&, const Complex&, Complex*, const octave_idx_type& |
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47 F77_CHAR_ARG_LEN_DECL); |
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48 |
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49 F77_RET_T |
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50 F77_FUNC (xzdotu, XZDOTU) (const octave_idx_type&, const Complex*, const octave_idx_type&, |
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51 const Complex*, const octave_idx_type&, Complex&); |
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52 } |
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53 |
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54 // Complex Row Vector class |
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55 |
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56 ComplexRowVector::ComplexRowVector (const RowVector& a) |
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57 : MArray<Complex> (a.length ()) |
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458
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58 { |
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59 for (octave_idx_type i = 0; i < length (); i++) |
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60 elem (i) = a.elem (i); |
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61 } |
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62 |
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63 bool |
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64 ComplexRowVector::operator == (const ComplexRowVector& a) const |
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65 { |
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66 octave_idx_type len = length (); |
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67 if (len != a.length ()) |
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68 return 0; |
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69 return mx_inline_equal (data (), a.data (), len); |
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70 } |
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71 |
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72 bool |
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73 ComplexRowVector::operator != (const ComplexRowVector& a) const |
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74 { |
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75 return !(*this == a); |
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76 } |
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77 |
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78 // destructive insert/delete/reorder operations |
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79 |
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80 ComplexRowVector& |
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81 ComplexRowVector::insert (const RowVector& a, octave_idx_type c) |
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82 { |
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83 octave_idx_type a_len = a.length (); |
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84 |
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85 if (c < 0 || c + a_len > length ()) |
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86 { |
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87 (*current_liboctave_error_handler) ("range error for insert"); |
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88 return *this; |
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89 } |
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90 |
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91 if (a_len > 0) |
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92 { |
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93 make_unique (); |
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94 |
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95 for (octave_idx_type i = 0; i < a_len; i++) |
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96 xelem (c+i) = a.elem (i); |
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97 } |
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98 |
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99 return *this; |
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100 } |
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101 |
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102 ComplexRowVector& |
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103 ComplexRowVector::insert (const ComplexRowVector& a, octave_idx_type c) |
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104 { |
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105 octave_idx_type a_len = a.length (); |
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106 |
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107 if (c < 0 || c + a_len > length ()) |
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108 { |
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109 (*current_liboctave_error_handler) ("range error for insert"); |
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110 return *this; |
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111 } |
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112 |
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113 if (a_len > 0) |
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114 { |
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115 make_unique (); |
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116 |
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117 for (octave_idx_type i = 0; i < a_len; i++) |
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118 xelem (c+i) = a.elem (i); |
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119 } |
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120 |
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121 return *this; |
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122 } |
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123 |
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124 ComplexRowVector& |
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125 ComplexRowVector::fill (double val) |
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126 { |
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127 octave_idx_type len = length (); |
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128 |
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129 if (len > 0) |
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130 { |
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131 make_unique (); |
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132 |
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133 for (octave_idx_type i = 0; i < len; i++) |
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134 xelem (i) = val; |
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135 } |
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136 |
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137 return *this; |
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138 } |
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139 |
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140 ComplexRowVector& |
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141 ComplexRowVector::fill (const Complex& val) |
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142 { |
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143 octave_idx_type len = length (); |
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144 |
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145 if (len > 0) |
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146 { |
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147 make_unique (); |
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148 |
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149 for (octave_idx_type i = 0; i < len; i++) |
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150 xelem (i) = val; |
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151 } |
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152 |
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153 return *this; |
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154 } |
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155 |
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156 ComplexRowVector& |
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157 ComplexRowVector::fill (double val, octave_idx_type c1, octave_idx_type c2) |
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158 { |
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159 octave_idx_type len = length (); |
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160 |
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161 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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162 { |
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163 (*current_liboctave_error_handler) ("range error for fill"); |
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164 return *this; |
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165 } |
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166 |
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167 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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168 |
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169 if (c2 >= c1) |
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170 { |
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171 make_unique (); |
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172 |
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173 for (octave_idx_type i = c1; i <= c2; i++) |
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174 xelem (i) = val; |
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175 } |
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176 |
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177 return *this; |
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178 } |
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179 |
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180 ComplexRowVector& |
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181 ComplexRowVector::fill (const Complex& val, octave_idx_type c1, octave_idx_type c2) |
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182 { |
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183 octave_idx_type len = length (); |
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184 |
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185 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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186 { |
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187 (*current_liboctave_error_handler) ("range error for fill"); |
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188 return *this; |
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189 } |
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190 |
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191 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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192 |
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193 if (c2 >= c1) |
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194 { |
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195 make_unique (); |
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196 |
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197 for (octave_idx_type i = c1; i <= c2; i++) |
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198 xelem (i) = val; |
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199 } |
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200 |
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201 return *this; |
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202 } |
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203 |
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204 ComplexRowVector |
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205 ComplexRowVector::append (const RowVector& a) const |
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206 { |
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207 octave_idx_type len = length (); |
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208 octave_idx_type nc_insert = len; |
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209 ComplexRowVector retval (len + a.length ()); |
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210 retval.insert (*this, 0); |
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211 retval.insert (a, nc_insert); |
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212 return retval; |
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213 } |
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214 |
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215 ComplexRowVector |
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216 ComplexRowVector::append (const ComplexRowVector& a) const |
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217 { |
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218 octave_idx_type len = length (); |
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219 octave_idx_type nc_insert = len; |
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220 ComplexRowVector retval (len + a.length ()); |
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221 retval.insert (*this, 0); |
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222 retval.insert (a, nc_insert); |
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223 return retval; |
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224 } |
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225 |
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226 ComplexColumnVector |
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227 ComplexRowVector::hermitian (void) const |
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228 { |
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229 octave_idx_type len = length (); |
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230 return ComplexColumnVector (mx_inline_conj_dup (data (), len), len); |
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231 } |
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232 |
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233 ComplexColumnVector |
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234 ComplexRowVector::transpose (void) const |
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235 { |
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236 return ComplexColumnVector (*this); |
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237 } |
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238 |
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239 ComplexRowVector |
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240 conj (const ComplexRowVector& a) |
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241 { |
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242 octave_idx_type a_len = a.length (); |
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243 ComplexRowVector retval; |
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244 if (a_len > 0) |
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245 retval = ComplexRowVector (mx_inline_conj_dup (a.data (), a_len), a_len); |
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246 return retval; |
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247 } |
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248 |
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249 // resize is the destructive equivalent for this one |
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250 |
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251 ComplexRowVector |
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252 ComplexRowVector::extract (octave_idx_type c1, octave_idx_type c2) const |
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253 { |
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254 if (c1 > c2) { octave_idx_type tmp = c1; c1 = c2; c2 = tmp; } |
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255 |
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256 octave_idx_type new_c = c2 - c1 + 1; |
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257 |
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258 ComplexRowVector result (new_c); |
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259 |
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260 for (octave_idx_type i = 0; i < new_c; i++) |
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261 result.elem (i) = elem (c1+i); |
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262 |
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263 return result; |
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264 } |
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265 |
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266 ComplexRowVector |
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267 ComplexRowVector::extract_n (octave_idx_type r1, octave_idx_type n) const |
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268 { |
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269 ComplexRowVector result (n); |
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270 |
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271 for (octave_idx_type i = 0; i < n; i++) |
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272 result.elem (i) = elem (r1+i); |
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273 |
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274 return result; |
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275 } |
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276 |
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277 // row vector by row vector -> row vector operations |
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278 |
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279 ComplexRowVector& |
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280 ComplexRowVector::operator += (const RowVector& a) |
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281 { |
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282 octave_idx_type len = length (); |
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283 |
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284 octave_idx_type a_len = a.length (); |
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285 |
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286 if (len != a_len) |
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287 { |
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288 gripe_nonconformant ("operator +=", len, a_len); |
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289 return *this; |
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290 } |
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291 |
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292 if (len == 0) |
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293 return *this; |
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294 |
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295 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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296 |
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297 mx_inline_add2 (d, a.data (), len); |
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458
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298 return *this; |
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299 } |
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300 |
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301 ComplexRowVector& |
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302 ComplexRowVector::operator -= (const RowVector& a) |
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303 { |
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304 octave_idx_type len = length (); |
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305 |
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306 octave_idx_type a_len = a.length (); |
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307 |
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308 if (len != a_len) |
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458
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309 { |
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310 gripe_nonconformant ("operator -=", len, a_len); |
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458
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311 return *this; |
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312 } |
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313 |
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314 if (len == 0) |
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315 return *this; |
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316 |
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317 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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318 |
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3769
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319 mx_inline_subtract2 (d, a.data (), len); |
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458
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320 return *this; |
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321 } |
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322 |
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323 // row vector by matrix -> row vector |
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324 |
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325 ComplexRowVector |
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326 operator * (const ComplexRowVector& v, const ComplexMatrix& a) |
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327 { |
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1947
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328 ComplexRowVector retval; |
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329 |
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330 octave_idx_type len = v.length (); |
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1947
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331 |
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332 octave_idx_type a_nr = a.rows (); |
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333 octave_idx_type a_nc = a.cols (); |
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2386
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334 |
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335 if (a_nr != len) |
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336 gripe_nonconformant ("operator *", 1, len, a_nr, a_nc); |
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1947
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337 else |
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458
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338 { |
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1947
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339 if (len == 0) |
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340 retval.resize (a_nc, 0.0); |
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341 else |
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342 { |
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343 // Transpose A to form A'*x == (x'*A)' |
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344 |
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345 octave_idx_type ld = a_nr; |
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1947
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346 |
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347 retval.resize (a_nc); |
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348 Complex *y = retval.fortran_vec (); |
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349 |
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4552
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350 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 ("T", 1), |
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351 a_nr, a_nc, 1.0, a.data (), |
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352 ld, v.data (), 1, 0.0, y, 1 |
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353 F77_CHAR_ARG_LEN (1))); |
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1947
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354 |
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355 if (f77_exception_encountered) |
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356 (*current_liboctave_error_handler) |
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357 ("unrecoverable error in zgemv"); |
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358 } |
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458
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359 } |
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360 |
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1947
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361 return retval; |
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458
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362 } |
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363 |
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1205
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364 ComplexRowVector |
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365 operator * (const RowVector& v, const ComplexMatrix& a) |
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366 { |
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367 ComplexRowVector tmp (v); |
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368 return tmp * a; |
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369 } |
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370 |
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458
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371 // other operations |
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372 |
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373 ComplexRowVector |
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2676
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374 ComplexRowVector::map (c_c_Mapper f) const |
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458
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375 { |
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2676
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376 ComplexRowVector b (*this); |
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377 return b.apply (f); |
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458
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378 } |
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379 |
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2676
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380 RowVector |
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381 ComplexRowVector::map (d_c_Mapper f) const |
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458
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382 { |
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2676
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383 const Complex *d = data (); |
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384 |
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5275
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385 octave_idx_type len = length (); |
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2676
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386 |
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387 RowVector retval (len); |
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388 |
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389 double *r = retval.fortran_vec (); |
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390 |
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5275
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391 for (octave_idx_type i = 0; i < len; i++) |
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2676
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392 r[i] = f (d[i]); |
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393 |
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394 return retval; |
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395 } |
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396 |
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397 ComplexRowVector& |
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398 ComplexRowVector::apply (c_c_Mapper f) |
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399 { |
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400 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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401 |
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5275
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402 for (octave_idx_type i = 0; i < length (); i++) |
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2676
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403 d[i] = f (d[i]); |
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404 |
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405 return *this; |
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458
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406 } |
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407 |
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408 Complex |
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409 ComplexRowVector::min (void) const |
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410 { |
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5275
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411 octave_idx_type len = length (); |
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458
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412 if (len == 0) |
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413 return Complex (0.0); |
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414 |
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415 Complex res = elem (0); |
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5260
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416 double absres = std::abs (res); |
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458
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417 |
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5275
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418 for (octave_idx_type i = 1; i < len; i++) |
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5260
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419 if (std::abs (elem (i)) < absres) |
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458
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420 { |
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421 res = elem (i); |
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5260
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422 absres = std::abs (res); |
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458
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423 } |
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424 |
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425 return res; |
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426 } |
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427 |
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428 Complex |
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429 ComplexRowVector::max (void) const |
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430 { |
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5275
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431 octave_idx_type len = length (); |
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458
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432 if (len == 0) |
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433 return Complex (0.0); |
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434 |
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435 Complex res = elem (0); |
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5260
|
436 double absres = std::abs (res); |
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458
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437 |
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5275
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438 for (octave_idx_type i = 1; i < len; i++) |
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5260
|
439 if (std::abs (elem (i)) > absres) |
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458
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440 { |
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441 res = elem (i); |
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5260
|
442 absres = std::abs (res); |
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458
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443 } |
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444 |
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445 return res; |
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446 } |
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447 |
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448 // i/o |
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449 |
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3504
|
450 std::ostream& |
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|
451 operator << (std::ostream& os, const ComplexRowVector& a) |
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458
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452 { |
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|
453 // int field_width = os.precision () + 7; |
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5275
|
454 for (octave_idx_type i = 0; i < a.length (); i++) |
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458
|
455 os << " " /* setw (field_width) */ << a.elem (i); |
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|
456 return os; |
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|
457 } |
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|
458 |
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3504
|
459 std::istream& |
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|
460 operator >> (std::istream& is, ComplexRowVector& a) |
|
458
|
461 { |
|
5275
|
462 octave_idx_type len = a.length(); |
|
458
|
463 |
|
|
464 if (len < 1) |
|
3504
|
465 is.clear (std::ios::badbit); |
|
458
|
466 else |
|
|
467 { |
|
|
468 Complex tmp; |
|
5275
|
469 for (octave_idx_type i = 0; i < len; i++) |
|
458
|
470 { |
|
|
471 is >> tmp; |
|
|
472 if (is) |
|
|
473 a.elem (i) = tmp; |
|
|
474 else |
|
|
475 break; |
|
|
476 } |
|
|
477 } |
|
532
|
478 return is; |
|
458
|
479 } |
|
|
480 |
|
1205
|
481 // row vector by column vector -> scalar |
|
|
482 |
|
|
483 // row vector by column vector -> scalar |
|
|
484 |
|
|
485 Complex |
|
|
486 operator * (const ComplexRowVector& v, const ColumnVector& a) |
|
|
487 { |
|
|
488 ComplexColumnVector tmp (a); |
|
|
489 return v * tmp; |
|
|
490 } |
|
|
491 |
|
|
492 Complex |
|
|
493 operator * (const ComplexRowVector& v, const ComplexColumnVector& a) |
|
|
494 { |
|
5983
|
495 Complex retval (0.0, 0.0); |
|
|
496 |
|
5275
|
497 octave_idx_type len = v.length (); |
|
2386
|
498 |
|
5275
|
499 octave_idx_type a_len = a.length (); |
|
2386
|
500 |
|
|
501 if (len != a_len) |
|
5983
|
502 gripe_nonconformant ("operator *", len, a_len); |
|
|
503 else if (len != 0) |
|
|
504 F77_FUNC (xzdotu, XZDOTU) (len, v.data (), 1, a.data (), 1, retval); |
|
5275
|
505 for (octave_idx_type i = 0; i < len; i++) |
|
1205
|
506 retval += v.elem (i) * a.elem (i); |
|
|
507 |
|
|
508 return retval; |
|
|
509 } |
|
|
510 |
|
|
511 // other operations |
|
|
512 |
|
|
513 ComplexRowVector |
|
5275
|
514 linspace (const Complex& x1, const Complex& x2, octave_idx_type n) |
|
1205
|
515 { |
|
|
516 ComplexRowVector retval; |
|
|
517 |
|
|
518 if (n > 0) |
|
|
519 { |
|
|
520 retval.resize (n); |
|
3092
|
521 Complex delta = (x2 - x1) / (n - 1.0); |
|
1205
|
522 retval.elem (0) = x1; |
|
5275
|
523 for (octave_idx_type i = 1; i < n-1; i++) |
|
3092
|
524 retval.elem (i) = x1 + 1.0 * i * delta; |
|
1205
|
525 retval.elem (n-1) = x2; |
|
|
526 } |
|
6630
|
527 else |
|
3322
|
528 { |
|
6629
|
529 retval.resize (1); |
|
|
530 retval.elem (0) = x2; |
|
3322
|
531 } |
|
1205
|
532 |
|
|
533 return retval; |
|
|
534 } |
|
|
535 |
|
458
|
536 /* |
|
|
537 ;;; Local Variables: *** |
|
|
538 ;;; mode: C++ *** |
|
|
539 ;;; End: *** |
|
|
540 */ |
