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1 // RowVector manipulations. |
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2 /* |
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3 |
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4 Copyright (C) 1996, 1997 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 #if defined (__GNUG__) && defined (USE_PRAGMA_INTERFACE_IMPLEMENTATION) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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32 #include <iostream> |
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33 |
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34 #include "Array-util.h" |
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35 #include "f77-fcn.h" |
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36 #include "lo-error.h" |
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37 #include "mx-base.h" |
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38 #include "mx-inlines.cc" |
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39 #include "oct-cmplx.h" |
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40 |
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41 // Fortran functions we call. |
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42 |
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43 extern "C" |
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44 { |
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45 F77_RET_T |
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46 F77_FUNC (zgemv, ZGEMV) (F77_CONST_CHAR_ARG_DECL, |
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47 const int&, const int&, const Complex&, |
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48 const Complex*, const int&, const Complex*, |
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49 const int&, const Complex&, Complex*, const int& |
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50 F77_CHAR_ARG_LEN_DECL); |
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51 } |
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52 |
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53 // Complex Row Vector class |
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54 |
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55 ComplexRowVector::ComplexRowVector (const RowVector& a) |
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56 : MArray<Complex> (a.length ()) |
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57 { |
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58 for (int i = 0; i < length (); i++) |
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59 elem (i) = a.elem (i); |
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60 } |
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61 |
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62 bool |
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63 ComplexRowVector::operator == (const ComplexRowVector& a) const |
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64 { |
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65 int len = length (); |
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66 if (len != a.length ()) |
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67 return 0; |
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68 return mx_inline_equal (data (), a.data (), len); |
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69 } |
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70 |
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71 bool |
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72 ComplexRowVector::operator != (const ComplexRowVector& a) const |
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73 { |
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74 return !(*this == a); |
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75 } |
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76 |
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77 // destructive insert/delete/reorder operations |
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78 |
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79 ComplexRowVector& |
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80 ComplexRowVector::insert (const RowVector& a, int c) |
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81 { |
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82 int a_len = a.length (); |
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83 |
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84 if (c < 0 || c + a_len > length ()) |
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85 { |
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86 (*current_liboctave_error_handler) ("range error for insert"); |
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87 return *this; |
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88 } |
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89 |
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90 if (a_len > 0) |
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91 { |
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92 make_unique (); |
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93 |
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94 for (int i = 0; i < a_len; i++) |
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95 xelem (c+i) = a.elem (i); |
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96 } |
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97 |
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98 return *this; |
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99 } |
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100 |
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101 ComplexRowVector& |
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102 ComplexRowVector::insert (const ComplexRowVector& a, int c) |
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103 { |
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104 int a_len = a.length (); |
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105 |
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106 if (c < 0 || c + a_len > length ()) |
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107 { |
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108 (*current_liboctave_error_handler) ("range error for insert"); |
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109 return *this; |
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110 } |
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111 |
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112 if (a_len > 0) |
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113 { |
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114 make_unique (); |
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115 |
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116 for (int i = 0; i < a_len; i++) |
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117 xelem (c+i) = a.elem (i); |
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118 } |
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119 |
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120 return *this; |
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121 } |
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122 |
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123 ComplexRowVector& |
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124 ComplexRowVector::fill (double val) |
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125 { |
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126 int len = length (); |
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127 |
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128 if (len > 0) |
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129 { |
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130 make_unique (); |
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131 |
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132 for (int i = 0; i < len; i++) |
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133 xelem (i) = val; |
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134 } |
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135 |
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136 return *this; |
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137 } |
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138 |
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139 ComplexRowVector& |
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140 ComplexRowVector::fill (const Complex& val) |
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141 { |
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142 int len = length (); |
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143 |
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144 if (len > 0) |
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145 { |
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146 make_unique (); |
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147 |
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148 for (int i = 0; i < len; i++) |
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149 xelem (i) = val; |
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150 } |
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151 |
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152 return *this; |
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153 } |
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154 |
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155 ComplexRowVector& |
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156 ComplexRowVector::fill (double val, int c1, int c2) |
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157 { |
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158 int len = length (); |
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159 |
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160 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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161 { |
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162 (*current_liboctave_error_handler) ("range error for fill"); |
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163 return *this; |
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164 } |
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165 |
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166 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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167 |
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168 if (c2 >= c1) |
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169 { |
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170 make_unique (); |
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171 |
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172 for (int i = c1; i <= c2; i++) |
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173 xelem (i) = val; |
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174 } |
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175 |
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176 return *this; |
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177 } |
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178 |
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179 ComplexRowVector& |
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180 ComplexRowVector::fill (const Complex& val, int c1, int c2) |
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181 { |
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182 int len = length (); |
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183 |
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184 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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185 { |
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186 (*current_liboctave_error_handler) ("range error for fill"); |
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187 return *this; |
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188 } |
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189 |
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190 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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191 |
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192 if (c2 >= c1) |
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193 { |
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194 make_unique (); |
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195 |
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196 for (int i = c1; i <= c2; i++) |
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197 xelem (i) = val; |
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198 } |
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199 |
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200 return *this; |
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201 } |
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202 |
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203 ComplexRowVector |
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204 ComplexRowVector::append (const RowVector& a) const |
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205 { |
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206 int len = length (); |
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207 int nc_insert = len; |
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208 ComplexRowVector retval (len + a.length ()); |
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209 retval.insert (*this, 0); |
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210 retval.insert (a, nc_insert); |
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211 return retval; |
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212 } |
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213 |
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214 ComplexRowVector |
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215 ComplexRowVector::append (const ComplexRowVector& a) const |
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216 { |
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217 int len = length (); |
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218 int nc_insert = len; |
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219 ComplexRowVector retval (len + a.length ()); |
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220 retval.insert (*this, 0); |
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221 retval.insert (a, nc_insert); |
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222 return retval; |
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223 } |
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224 |
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225 ComplexColumnVector |
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226 ComplexRowVector::hermitian (void) const |
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227 { |
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228 int len = length (); |
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229 return ComplexColumnVector (mx_inline_conj_dup (data (), len), len); |
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230 } |
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231 |
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232 ComplexColumnVector |
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233 ComplexRowVector::transpose (void) const |
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234 { |
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235 return ComplexColumnVector (*this); |
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236 } |
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237 |
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238 ComplexRowVector |
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239 conj (const ComplexRowVector& a) |
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240 { |
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241 int a_len = a.length (); |
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242 ComplexRowVector retval; |
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243 if (a_len > 0) |
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244 retval = ComplexRowVector (mx_inline_conj_dup (a.data (), a_len), a_len); |
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245 return retval; |
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246 } |
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247 |
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248 // resize is the destructive equivalent for this one |
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249 |
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250 ComplexRowVector |
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251 ComplexRowVector::extract (int c1, int c2) const |
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252 { |
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253 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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254 |
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255 int new_c = c2 - c1 + 1; |
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256 |
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257 ComplexRowVector result (new_c); |
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258 |
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259 for (int i = 0; i < new_c; i++) |
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260 result.elem (i) = elem (c1+i); |
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261 |
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262 return result; |
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263 } |
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264 |
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265 ComplexRowVector |
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266 ComplexRowVector::extract_n (int r1, int n) const |
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267 { |
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268 ComplexRowVector result (n); |
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269 |
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270 for (int i = 0; i < n; i++) |
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271 result.elem (i) = elem (r1+i); |
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272 |
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273 return result; |
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274 } |
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275 |
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276 // row vector by row vector -> row vector operations |
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277 |
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278 ComplexRowVector& |
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279 ComplexRowVector::operator += (const RowVector& a) |
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280 { |
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281 int len = length (); |
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282 |
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283 int a_len = a.length (); |
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284 |
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285 if (len != a_len) |
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286 { |
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287 gripe_nonconformant ("operator +=", len, a_len); |
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288 return *this; |
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289 } |
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290 |
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291 if (len == 0) |
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292 return *this; |
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293 |
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294 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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295 |
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296 mx_inline_add2 (d, a.data (), len); |
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297 return *this; |
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298 } |
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299 |
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300 ComplexRowVector& |
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301 ComplexRowVector::operator -= (const RowVector& a) |
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302 { |
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303 int len = length (); |
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304 |
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305 int a_len = a.length (); |
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306 |
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307 if (len != a_len) |
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308 { |
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309 gripe_nonconformant ("operator -=", len, a_len); |
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310 return *this; |
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311 } |
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312 |
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313 if (len == 0) |
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314 return *this; |
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315 |
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316 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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317 |
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318 mx_inline_subtract2 (d, a.data (), len); |
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319 return *this; |
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320 } |
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321 |
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322 // row vector by matrix -> row vector |
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323 |
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324 ComplexRowVector |
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325 operator * (const ComplexRowVector& v, const ComplexMatrix& a) |
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326 { |
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327 ComplexRowVector retval; |
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328 |
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329 int len = v.length (); |
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330 |
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331 int a_nr = a.rows (); |
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332 int a_nc = a.cols (); |
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333 |
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334 if (a_nr != len) |
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335 gripe_nonconformant ("operator *", 1, len, a_nr, a_nc); |
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336 else |
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337 { |
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338 if (len == 0) |
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339 retval.resize (a_nc, 0.0); |
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340 else |
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341 { |
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342 // Transpose A to form A'*x == (x'*A)' |
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343 |
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344 int ld = a_nr; |
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345 |
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346 retval.resize (a_nc); |
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347 Complex *y = retval.fortran_vec (); |
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348 |
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349 F77_XFCN (zgemv, ZGEMV, (F77_CONST_CHAR_ARG2 ("T", 1), |
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350 a_nr, a_nc, 1.0, a.data (), |
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351 ld, v.data (), 1, 0.0, y, 1 |
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352 F77_CHAR_ARG_LEN (1))); |
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353 |
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354 if (f77_exception_encountered) |
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355 (*current_liboctave_error_handler) |
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356 ("unrecoverable error in zgemv"); |
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357 } |
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358 } |
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359 |
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360 return retval; |
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361 } |
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362 |
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363 ComplexRowVector |
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364 operator * (const RowVector& v, const ComplexMatrix& a) |
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365 { |
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366 ComplexRowVector tmp (v); |
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367 return tmp * a; |
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368 } |
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369 |
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370 // other operations |
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371 |
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372 ComplexRowVector |
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373 ComplexRowVector::map (c_c_Mapper f) const |
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374 { |
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375 ComplexRowVector b (*this); |
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376 return b.apply (f); |
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377 } |
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378 |
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379 RowVector |
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380 ComplexRowVector::map (d_c_Mapper f) const |
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381 { |
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382 const Complex *d = data (); |
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383 |
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384 int len = length (); |
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385 |
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386 RowVector retval (len); |
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387 |
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388 double *r = retval.fortran_vec (); |
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389 |
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390 for (int i = 0; i < len; i++) |
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391 r[i] = f (d[i]); |
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392 |
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393 return retval; |
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394 } |
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395 |
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396 ComplexRowVector& |
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397 ComplexRowVector::apply (c_c_Mapper f) |
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398 { |
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399 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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400 |
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401 for (int i = 0; i < length (); i++) |
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402 d[i] = f (d[i]); |
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403 |
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404 return *this; |
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405 } |
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406 |
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407 Complex |
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408 ComplexRowVector::min (void) const |
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409 { |
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410 int len = length (); |
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411 if (len == 0) |
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412 return Complex (0.0); |
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413 |
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414 Complex res = elem (0); |
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415 double absres = abs (res); |
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416 |
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417 for (int i = 1; i < len; i++) |
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418 if (abs (elem (i)) < absres) |
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419 { |
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420 res = elem (i); |
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421 absres = abs (res); |
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422 } |
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423 |
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424 return res; |
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425 } |
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426 |
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427 Complex |
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428 ComplexRowVector::max (void) const |
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429 { |
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430 int len = length (); |
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431 if (len == 0) |
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432 return Complex (0.0); |
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433 |
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434 Complex res = elem (0); |
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435 double absres = abs (res); |
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436 |
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437 for (int i = 1; i < len; i++) |
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438 if (abs (elem (i)) > absres) |
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439 { |
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440 res = elem (i); |
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441 absres = abs (res); |
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442 } |
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443 |
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444 return res; |
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445 } |
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446 |
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447 // i/o |
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448 |
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449 std::ostream& |
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450 operator << (std::ostream& os, const ComplexRowVector& a) |
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451 { |
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452 // int field_width = os.precision () + 7; |
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453 for (int i = 0; i < a.length (); i++) |
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454 os << " " /* setw (field_width) */ << a.elem (i); |
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455 return os; |
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456 } |
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457 |
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458 std::istream& |
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459 operator >> (std::istream& is, ComplexRowVector& a) |
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460 { |
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461 int len = a.length(); |
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462 |
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463 if (len < 1) |
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464 is.clear (std::ios::badbit); |
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465 else |
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466 { |
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467 Complex tmp; |
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468 for (int i = 0; i < len; i++) |
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469 { |
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470 is >> tmp; |
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471 if (is) |
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472 a.elem (i) = tmp; |
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473 else |
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474 break; |
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475 } |
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476 } |
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477 return is; |
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478 } |
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479 |
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480 // row vector by column vector -> scalar |
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481 |
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482 // row vector by column vector -> scalar |
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483 |
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484 Complex |
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485 operator * (const ComplexRowVector& v, const ColumnVector& a) |
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486 { |
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487 ComplexColumnVector tmp (a); |
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488 return v * tmp; |
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489 } |
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490 |
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491 Complex |
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492 operator * (const ComplexRowVector& v, const ComplexColumnVector& a) |
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493 { |
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494 int len = v.length (); |
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495 |
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496 int a_len = a.length (); |
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497 |
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498 if (len != a_len) |
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499 { |
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500 gripe_nonconformant ("operator *", len, a_len); |
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501 return 0.0; |
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502 } |
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503 |
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504 Complex retval (0.0, 0.0); |
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505 |
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506 for (int i = 0; i < len; i++) |
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507 retval += v.elem (i) * a.elem (i); |
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508 |
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509 return retval; |
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510 } |
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511 |
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512 // other operations |
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513 |
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514 ComplexRowVector |
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515 linspace (const Complex& x1, const Complex& x2, int n) |
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516 { |
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517 ComplexRowVector retval; |
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518 |
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519 if (n > 0) |
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520 { |
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521 retval.resize (n); |
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522 Complex delta = (x2 - x1) / (n - 1.0); |
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523 retval.elem (0) = x1; |
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524 for (int i = 1; i < n-1; i++) |
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525 retval.elem (i) = x1 + 1.0 * i * delta; |
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526 retval.elem (n-1) = x2; |
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527 } |
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528 else if (n == 1) |
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529 { |
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530 if (x1 == x2) |
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531 { |
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532 retval.resize (1); |
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533 retval.elem (0) = x1; |
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534 } |
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535 else |
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536 (*current_liboctave_error_handler) |
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537 ("linspace: npoints is 1, but x1 != x2"); |
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538 } |
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539 else |
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540 (*current_liboctave_error_handler) |
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541 ("linspace: npoints must be greater than 0"); |
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542 |
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543 return retval; |
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544 } |
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545 |
458
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546 /* |
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547 ;;; Local Variables: *** |
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548 ;;; mode: C++ *** |
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549 ;;; End: *** |
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550 */ |