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458
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1 // RowVector manipulations. -*- C++ -*- |
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2 /* |
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3 |
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1011
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4 Copyright (C) 1992, 1993, 1994, 1995 John W. Eaton |
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5 |
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6 This file is part of Octave. |
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7 |
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8 Octave is free software; you can redistribute it and/or modify it |
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9 under the terms of the GNU General Public License as published by the |
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10 Free Software Foundation; either version 2, or (at your option) any |
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11 later version. |
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12 |
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13 Octave is distributed in the hope that it will be useful, but WITHOUT |
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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16 for more details. |
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17 |
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18 You should have received a copy of the GNU General Public License |
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19 along with Octave; see the file COPYING. If not, write to the Free |
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20 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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21 |
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22 */ |
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23 |
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24 #if defined (__GNUG__) |
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25 #pragma implementation |
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26 #endif |
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27 |
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28 #ifdef HAVE_CONFIG_H |
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29 #include <config.h> |
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30 #endif |
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31 |
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32 #include <iostream.h> |
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33 |
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1847
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34 #include "f77-fcn.h" |
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35 #include "lo-error.h" |
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36 #include "mx-base.h" |
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37 #include "mx-inlines.cc" |
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38 #include "oct-cmplx.h" |
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39 |
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40 // Fortran functions we call. |
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41 |
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42 extern "C" |
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43 { |
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1253
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44 int F77_FCN (zgemv, ZGEMV) (const char*, const int&, const int&, |
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45 const Complex&, const Complex*, |
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46 const int&, const Complex*, const int&, |
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47 const Complex&, Complex*, const int&, |
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48 long); |
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458
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49 } |
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50 |
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1360
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51 // Complex Row Vector class |
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52 |
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53 ComplexRowVector::ComplexRowVector (const RowVector& a) |
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54 : MArray<Complex> (a.length ()) |
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55 { |
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56 for (int i = 0; i < length (); i++) |
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57 elem (i) = a.elem (i); |
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58 } |
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59 |
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60 int |
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61 ComplexRowVector::operator == (const ComplexRowVector& a) const |
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62 { |
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63 int len = length (); |
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64 if (len != a.length ()) |
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65 return 0; |
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66 return equal (data (), a.data (), len); |
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67 } |
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68 |
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69 int |
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70 ComplexRowVector::operator != (const ComplexRowVector& a) const |
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71 { |
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72 return !(*this == a); |
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73 } |
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74 |
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75 // destructive insert/delete/reorder operations |
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76 |
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77 ComplexRowVector& |
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78 ComplexRowVector::insert (const RowVector& a, int c) |
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79 { |
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80 int a_len = a.length (); |
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81 if (c < 0 || c + a_len > length ()) |
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82 { |
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83 (*current_liboctave_error_handler) ("range error for insert"); |
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84 return *this; |
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85 } |
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86 |
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87 for (int i = 0; i < a_len; i++) |
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88 elem (c+i) = a.elem (i); |
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89 |
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90 return *this; |
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91 } |
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92 |
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93 ComplexRowVector& |
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94 ComplexRowVector::insert (const ComplexRowVector& a, int c) |
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95 { |
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96 int a_len = a.length (); |
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97 if (c < 0 || c + a_len > length ()) |
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98 { |
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99 (*current_liboctave_error_handler) ("range error for insert"); |
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100 return *this; |
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101 } |
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102 |
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103 for (int i = 0; i < a_len; i++) |
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104 elem (c+i) = a.elem (i); |
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105 |
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106 return *this; |
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107 } |
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108 |
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109 ComplexRowVector& |
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110 ComplexRowVector::fill (double val) |
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111 { |
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112 int len = length (); |
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113 if (len > 0) |
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114 for (int i = 0; i < len; i++) |
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115 elem (i) = val; |
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116 return *this; |
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117 } |
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118 |
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119 ComplexRowVector& |
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120 ComplexRowVector::fill (const Complex& val) |
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121 { |
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122 int len = length (); |
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123 if (len > 0) |
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124 for (int i = 0; i < len; i++) |
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125 elem (i) = val; |
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126 return *this; |
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127 } |
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128 |
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129 ComplexRowVector& |
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130 ComplexRowVector::fill (double val, int c1, int c2) |
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131 { |
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132 int len = length (); |
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133 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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134 { |
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135 (*current_liboctave_error_handler) ("range error for fill"); |
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136 return *this; |
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137 } |
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138 |
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139 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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140 |
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141 for (int i = c1; i <= c2; i++) |
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142 elem (i) = val; |
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143 |
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144 return *this; |
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145 } |
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146 |
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147 ComplexRowVector& |
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148 ComplexRowVector::fill (const Complex& val, int c1, int c2) |
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149 { |
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150 int len = length (); |
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151 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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152 { |
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153 (*current_liboctave_error_handler) ("range error for fill"); |
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154 return *this; |
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155 } |
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156 |
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157 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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158 |
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159 for (int i = c1; i <= c2; i++) |
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160 elem (i) = val; |
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161 |
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162 return *this; |
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163 } |
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164 |
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165 ComplexRowVector |
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166 ComplexRowVector::append (const RowVector& a) const |
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167 { |
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168 int len = length (); |
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169 int nc_insert = len; |
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170 ComplexRowVector retval (len + a.length ()); |
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171 retval.insert (*this, 0); |
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172 retval.insert (a, nc_insert); |
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173 return retval; |
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174 } |
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175 |
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176 ComplexRowVector |
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177 ComplexRowVector::append (const ComplexRowVector& a) const |
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178 { |
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179 int len = length (); |
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180 int nc_insert = len; |
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181 ComplexRowVector retval (len + a.length ()); |
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182 retval.insert (*this, 0); |
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183 retval.insert (a, nc_insert); |
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184 return retval; |
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185 } |
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186 |
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187 ComplexColumnVector |
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188 ComplexRowVector::hermitian (void) const |
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189 { |
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190 int len = length (); |
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191 return ComplexColumnVector (conj_dup (data (), len), len); |
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192 } |
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193 |
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194 ComplexColumnVector |
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195 ComplexRowVector::transpose (void) const |
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196 { |
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197 return ComplexColumnVector (*this); |
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198 } |
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199 |
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200 ComplexRowVector |
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201 conj (const ComplexRowVector& a) |
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202 { |
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203 int a_len = a.length (); |
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204 ComplexRowVector retval; |
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205 if (a_len > 0) |
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206 retval = ComplexRowVector (conj_dup (a.data (), a_len), a_len); |
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207 return retval; |
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208 } |
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209 |
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210 // resize is the destructive equivalent for this one |
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211 |
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212 ComplexRowVector |
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213 ComplexRowVector::extract (int c1, int c2) const |
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214 { |
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215 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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216 |
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217 int new_c = c2 - c1 + 1; |
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218 |
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219 ComplexRowVector result (new_c); |
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220 |
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221 for (int i = 0; i < new_c; i++) |
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222 result.elem (i) = elem (c1+i); |
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223 |
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224 return result; |
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225 } |
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226 |
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227 // row vector by row vector -> row vector operations |
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228 |
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229 ComplexRowVector& |
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230 ComplexRowVector::operator += (const RowVector& a) |
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231 { |
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232 int len = length (); |
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233 if (len != a.length ()) |
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234 { |
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235 (*current_liboctave_error_handler) |
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236 ("nonconformant vector += operation attempted"); |
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237 return *this; |
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238 } |
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239 |
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240 if (len == 0) |
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241 return *this; |
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242 |
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243 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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244 |
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245 add2 (d, a.data (), len); |
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246 return *this; |
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247 } |
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248 |
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249 ComplexRowVector& |
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250 ComplexRowVector::operator -= (const RowVector& a) |
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251 { |
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252 int len = length (); |
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253 if (len != a.length ()) |
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254 { |
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255 (*current_liboctave_error_handler) |
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256 ("nonconformant vector -= operation attempted"); |
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257 return *this; |
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258 } |
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259 |
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260 if (len == 0) |
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261 return *this; |
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262 |
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263 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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264 |
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265 subtract2 (d, a.data (), len); |
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266 return *this; |
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267 } |
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268 |
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269 ComplexRowVector& |
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270 ComplexRowVector::operator += (const ComplexRowVector& a) |
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271 { |
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272 int len = length (); |
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273 if (len != a.length ()) |
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274 { |
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275 (*current_liboctave_error_handler) |
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276 ("nonconformant vector += operation attempted"); |
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277 return *this; |
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278 } |
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279 |
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280 if (len == 0) |
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281 return *this; |
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282 |
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283 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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284 |
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285 add2 (d, a.data (), len); |
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286 return *this; |
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287 } |
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288 |
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289 ComplexRowVector& |
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290 ComplexRowVector::operator -= (const ComplexRowVector& a) |
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291 { |
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292 int len = length (); |
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293 if (len != a.length ()) |
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294 { |
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295 (*current_liboctave_error_handler) |
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296 ("nonconformant vector -= operation attempted"); |
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297 return *this; |
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298 } |
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299 |
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300 if (len == 0) |
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301 return *this; |
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302 |
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303 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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304 |
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305 subtract2 (d, a.data (), len); |
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306 return *this; |
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307 } |
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308 |
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309 // row vector by scalar -> row vector operations |
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310 |
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311 ComplexRowVector |
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312 operator + (const ComplexRowVector& v, double s) |
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313 { |
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314 int len = v.length (); |
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315 return ComplexRowVector (add (v.data (), len, s), len); |
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316 } |
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317 |
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318 ComplexRowVector |
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319 operator - (const ComplexRowVector& v, double s) |
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320 { |
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321 int len = v.length (); |
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322 return ComplexRowVector (subtract (v.data (), len, s), len); |
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323 } |
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324 |
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325 ComplexRowVector |
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326 operator * (const ComplexRowVector& v, double s) |
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327 { |
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328 int len = v.length (); |
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329 return ComplexRowVector (multiply (v.data (), len, s), len); |
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330 } |
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331 |
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332 ComplexRowVector |
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333 operator / (const ComplexRowVector& v, double s) |
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334 { |
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335 int len = v.length (); |
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336 return ComplexRowVector (divide (v.data (), len, s), len); |
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337 } |
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338 |
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339 ComplexRowVector |
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340 operator + (const RowVector& v, const Complex& s) |
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341 { |
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342 int len = v.length (); |
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343 return ComplexRowVector (add (v.data (), len, s), len); |
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344 } |
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345 |
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346 ComplexRowVector |
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347 operator - (const RowVector& v, const Complex& s) |
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348 { |
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349 int len = v.length (); |
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350 return ComplexRowVector (subtract (v.data (), len, s), len); |
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351 } |
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352 |
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353 ComplexRowVector |
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354 operator * (const RowVector& v, const Complex& s) |
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355 { |
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356 int len = v.length (); |
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357 return ComplexRowVector (multiply (v.data (), len, s), len); |
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358 } |
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359 |
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360 ComplexRowVector |
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361 operator / (const RowVector& v, const Complex& s) |
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362 { |
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363 int len = v.length (); |
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364 return ComplexRowVector (divide (v.data (), len, s), len); |
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365 } |
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366 |
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458
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367 // scalar by row vector -> row vector operations |
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368 |
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369 ComplexRowVector |
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370 operator + (double s, const ComplexRowVector& a) |
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371 { |
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372 int a_len = a.length (); |
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373 return ComplexRowVector (add (a.data (), a_len, s), a_len); |
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374 } |
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375 |
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376 ComplexRowVector |
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377 operator - (double s, const ComplexRowVector& a) |
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378 { |
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379 int a_len = a.length (); |
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380 return ComplexRowVector (subtract (s, a.data (), a_len), a_len); |
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381 } |
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382 |
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383 ComplexRowVector |
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384 operator * (double s, const ComplexRowVector& a) |
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385 { |
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386 int a_len = a.length (); |
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387 return ComplexRowVector (multiply (a.data (), a_len, s), a_len); |
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388 } |
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389 |
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390 ComplexRowVector |
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391 operator / (double s, const ComplexRowVector& a) |
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392 { |
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393 int a_len = a.length (); |
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394 return ComplexRowVector (divide (s, a.data (), a_len), a_len); |
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395 } |
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396 |
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1205
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397 ComplexRowVector |
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398 operator + (const Complex& s, const RowVector& a) |
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458
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399 { |
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1485
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400 int a_len = a.length (); |
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401 return ComplexRowVector (add (a.data (), a_len, s), a_len); |
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458
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402 } |
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403 |
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1205
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404 ComplexRowVector |
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405 operator - (const Complex& s, const RowVector& a) |
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458
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406 { |
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407 int a_len = a.length (); |
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408 return ComplexRowVector (subtract (s, a.data (), a_len), a_len); |
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409 } |
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410 |
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1205
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411 ComplexRowVector |
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412 operator * (const Complex& s, const RowVector& a) |
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413 { |
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414 int a_len = a.length (); |
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415 return ComplexRowVector (multiply (a.data (), a_len, s), a_len); |
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416 } |
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417 |
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1205
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418 ComplexRowVector |
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419 operator / (const Complex& s, const RowVector& a) |
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420 { |
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421 int a_len = a.length (); |
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422 return ComplexRowVector (divide (s, a.data (), a_len), a_len); |
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458
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423 } |
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424 |
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425 // row vector by matrix -> row vector |
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426 |
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427 ComplexRowVector |
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428 operator * (const ComplexRowVector& v, const ComplexMatrix& a) |
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429 { |
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430 int len = v.length (); |
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431 if (a.rows () != len) |
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432 { |
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433 (*current_liboctave_error_handler) |
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434 ("nonconformant vector multiplication attempted"); |
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435 return ComplexRowVector (); |
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436 } |
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437 |
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1677
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438 if (len == 0) |
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439 return ComplexRowVector (a.cols (), 0.0); |
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458
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440 |
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1360
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441 // Transpose A to form A'*x == (x'*A)' |
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458
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442 |
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443 int a_nr = a.rows (); |
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444 int a_nc = a.cols (); |
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445 |
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446 int ld = a_nr; |
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447 |
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1677
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448 Complex *y = new Complex [a_nc]; |
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458
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449 |
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1678
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450 F77_FCN (zgemv, ZGEMV) ("T", a_nr, a_nc, 1.0, a.data (), ld, |
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1253
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451 v.data (), 1, 0.0, y, 1, 1L); |
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458
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452 |
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1677
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453 return ComplexRowVector (y, a_nc); |
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458
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454 } |
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455 |
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1205
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456 ComplexRowVector |
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457 operator * (const RowVector& v, const ComplexMatrix& a) |
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458 { |
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459 ComplexRowVector tmp (v); |
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460 return tmp * a; |
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461 } |
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462 |
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458
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463 // row vector by row vector -> row vector operations |
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464 |
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465 ComplexRowVector |
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466 operator + (const ComplexRowVector& v, const RowVector& a) |
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467 { |
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468 int len = v.length (); |
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469 if (len != a.length ()) |
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470 { |
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471 (*current_liboctave_error_handler) |
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472 ("nonconformant vector addition attempted"); |
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473 return ComplexRowVector (); |
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474 } |
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475 |
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476 if (len == 0) |
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477 return ComplexRowVector (0); |
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478 |
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479 return ComplexRowVector (add (v.data (), a.data (), len), len); |
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480 } |
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481 |
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482 ComplexRowVector |
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483 operator - (const ComplexRowVector& v, const RowVector& a) |
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484 { |
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485 int len = v.length (); |
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486 if (len != a.length ()) |
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487 { |
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488 (*current_liboctave_error_handler) |
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489 ("nonconformant vector subtraction attempted"); |
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490 return ComplexRowVector (); |
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491 } |
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492 |
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493 if (len == 0) |
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494 return ComplexRowVector (0); |
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495 |
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496 return ComplexRowVector (subtract (v.data (), a.data (), len), len); |
|
|
497 } |
|
|
498 |
|
|
499 ComplexRowVector |
|
1205
|
500 operator + (const RowVector& v, const ComplexRowVector& a) |
|
|
501 { |
|
|
502 int len = v.length (); |
|
|
503 if (len != a.length ()) |
|
|
504 { |
|
|
505 (*current_liboctave_error_handler) |
|
|
506 ("nonconformant vector addition attempted"); |
|
|
507 return ComplexRowVector (); |
|
|
508 } |
|
|
509 |
|
|
510 if (len == 0) |
|
|
511 return ComplexRowVector (0); |
|
|
512 |
|
|
513 return ComplexRowVector (add (v.data (), a.data (), len), len); |
|
|
514 } |
|
|
515 |
|
|
516 ComplexRowVector |
|
|
517 operator - (const RowVector& v, const ComplexRowVector& a) |
|
|
518 { |
|
|
519 int len = v.length (); |
|
|
520 if (len != a.length ()) |
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|
521 { |
|
|
522 (*current_liboctave_error_handler) |
|
|
523 ("nonconformant vector subtraction attempted"); |
|
|
524 return ComplexRowVector (); |
|
|
525 } |
|
|
526 |
|
|
527 if (len == 0) |
|
|
528 return ComplexRowVector (0); |
|
|
529 |
|
|
530 return ComplexRowVector (subtract (v.data (), a.data (), len), len); |
|
|
531 } |
|
|
532 |
|
|
533 ComplexRowVector |
|
458
|
534 product (const ComplexRowVector& v, const RowVector& a) |
|
|
535 { |
|
|
536 int len = v.length (); |
|
|
537 if (len != a.length ()) |
|
|
538 { |
|
|
539 (*current_liboctave_error_handler) |
|
|
540 ("nonconformant vector product attempted"); |
|
|
541 return ComplexRowVector (); |
|
|
542 } |
|
|
543 |
|
|
544 if (len == 0) |
|
|
545 return ComplexRowVector (0); |
|
|
546 |
|
|
547 return ComplexRowVector (multiply (v.data (), a.data (), len), len); |
|
|
548 } |
|
|
549 |
|
|
550 ComplexRowVector |
|
|
551 quotient (const ComplexRowVector& v, const RowVector& a) |
|
|
552 { |
|
|
553 int len = v.length (); |
|
|
554 if (len != a.length ()) |
|
|
555 { |
|
|
556 (*current_liboctave_error_handler) |
|
|
557 ("nonconformant vector quotient attempted"); |
|
|
558 return ComplexRowVector (); |
|
|
559 } |
|
|
560 |
|
|
561 if (len == 0) |
|
|
562 return ComplexRowVector (0); |
|
|
563 |
|
|
564 return ComplexRowVector (divide (v.data (), a.data (), len), len); |
|
|
565 } |
|
|
566 |
|
1205
|
567 ComplexRowVector |
|
|
568 product (const RowVector& v, const ComplexRowVector& a) |
|
|
569 { |
|
|
570 int len = v.length (); |
|
|
571 if (len != a.length ()) |
|
|
572 { |
|
|
573 (*current_liboctave_error_handler) |
|
|
574 ("nonconformant vector product attempted"); |
|
|
575 return ComplexRowVector (); |
|
|
576 } |
|
|
577 |
|
|
578 if (len == 0) |
|
|
579 return ComplexRowVector (0); |
|
|
580 |
|
|
581 return ComplexRowVector (multiply (v.data (), a.data (), len), len); |
|
|
582 } |
|
|
583 |
|
|
584 ComplexRowVector |
|
|
585 quotient (const RowVector& v, const ComplexRowVector& a) |
|
|
586 { |
|
|
587 int len = v.length (); |
|
|
588 if (len != a.length ()) |
|
|
589 { |
|
|
590 (*current_liboctave_error_handler) |
|
|
591 ("nonconformant vector quotient attempted"); |
|
|
592 return ComplexRowVector (); |
|
|
593 } |
|
|
594 |
|
|
595 if (len == 0) |
|
|
596 return ComplexRowVector (0); |
|
|
597 |
|
|
598 return ComplexRowVector (divide (v.data (), a.data (), len), len); |
|
|
599 } |
|
|
600 |
|
458
|
601 // other operations |
|
|
602 |
|
|
603 ComplexRowVector |
|
|
604 map (c_c_Mapper f, const ComplexRowVector& a) |
|
|
605 { |
|
|
606 ComplexRowVector b (a); |
|
|
607 b.map (f); |
|
|
608 return b; |
|
|
609 } |
|
|
610 |
|
|
611 void |
|
|
612 ComplexRowVector::map (c_c_Mapper f) |
|
|
613 { |
|
|
614 for (int i = 0; i < length (); i++) |
|
|
615 elem (i) = f (elem (i)); |
|
|
616 } |
|
|
617 |
|
|
618 Complex |
|
|
619 ComplexRowVector::min (void) const |
|
|
620 { |
|
|
621 int len = length (); |
|
|
622 if (len == 0) |
|
|
623 return Complex (0.0); |
|
|
624 |
|
|
625 Complex res = elem (0); |
|
|
626 double absres = abs (res); |
|
|
627 |
|
|
628 for (int i = 1; i < len; i++) |
|
|
629 if (abs (elem (i)) < absres) |
|
|
630 { |
|
|
631 res = elem (i); |
|
|
632 absres = abs (res); |
|
|
633 } |
|
|
634 |
|
|
635 return res; |
|
|
636 } |
|
|
637 |
|
|
638 Complex |
|
|
639 ComplexRowVector::max (void) const |
|
|
640 { |
|
|
641 int len = length (); |
|
|
642 if (len == 0) |
|
|
643 return Complex (0.0); |
|
|
644 |
|
|
645 Complex res = elem (0); |
|
|
646 double absres = abs (res); |
|
|
647 |
|
|
648 for (int i = 1; i < len; i++) |
|
|
649 if (abs (elem (i)) > absres) |
|
|
650 { |
|
|
651 res = elem (i); |
|
|
652 absres = abs (res); |
|
|
653 } |
|
|
654 |
|
|
655 return res; |
|
|
656 } |
|
|
657 |
|
|
658 // i/o |
|
|
659 |
|
|
660 ostream& |
|
|
661 operator << (ostream& os, const ComplexRowVector& a) |
|
|
662 { |
|
|
663 // int field_width = os.precision () + 7; |
|
|
664 for (int i = 0; i < a.length (); i++) |
|
|
665 os << " " /* setw (field_width) */ << a.elem (i); |
|
|
666 return os; |
|
|
667 } |
|
|
668 |
|
|
669 istream& |
|
|
670 operator >> (istream& is, ComplexRowVector& a) |
|
|
671 { |
|
|
672 int len = a.length(); |
|
|
673 |
|
|
674 if (len < 1) |
|
|
675 is.clear (ios::badbit); |
|
|
676 else |
|
|
677 { |
|
|
678 Complex tmp; |
|
|
679 for (int i = 0; i < len; i++) |
|
|
680 { |
|
|
681 is >> tmp; |
|
|
682 if (is) |
|
|
683 a.elem (i) = tmp; |
|
|
684 else |
|
|
685 break; |
|
|
686 } |
|
|
687 } |
|
532
|
688 return is; |
|
458
|
689 } |
|
|
690 |
|
1205
|
691 // row vector by column vector -> scalar |
|
|
692 |
|
|
693 // row vector by column vector -> scalar |
|
|
694 |
|
|
695 Complex |
|
|
696 operator * (const ComplexRowVector& v, const ColumnVector& a) |
|
|
697 { |
|
|
698 ComplexColumnVector tmp (a); |
|
|
699 return v * tmp; |
|
|
700 } |
|
|
701 |
|
|
702 Complex |
|
|
703 operator * (const ComplexRowVector& v, const ComplexColumnVector& a) |
|
|
704 { |
|
|
705 int len = v.length (); |
|
|
706 if (len != a.length ()) |
|
|
707 { |
|
|
708 (*current_liboctave_error_handler) |
|
|
709 ("nonconformant vector multiplication attempted"); |
|
|
710 return 0.0; |
|
|
711 } |
|
|
712 |
|
|
713 Complex retval (0.0, 0.0); |
|
|
714 |
|
|
715 for (int i = 0; i < len; i++) |
|
|
716 retval += v.elem (i) * a.elem (i); |
|
|
717 |
|
|
718 return retval; |
|
|
719 } |
|
|
720 |
|
|
721 // other operations |
|
|
722 |
|
|
723 ComplexRowVector |
|
|
724 linspace (const Complex& x1, const Complex& x2, int n) |
|
|
725 { |
|
|
726 ComplexRowVector retval; |
|
|
727 |
|
|
728 if (n > 0) |
|
|
729 { |
|
|
730 retval.resize (n); |
|
|
731 Complex delta = (x2 - x1) / (n - 1); |
|
|
732 retval.elem (0) = x1; |
|
|
733 for (int i = 1; i < n-1; i++) |
|
|
734 retval.elem (i) = x1 + i * delta; |
|
|
735 retval.elem (n-1) = x2; |
|
|
736 } |
|
|
737 |
|
|
738 return retval; |
|
|
739 } |
|
|
740 |
|
458
|
741 /* |
|
|
742 ;;; Local Variables: *** |
|
|
743 ;;; mode: C++ *** |
|
|
744 ;;; page-delimiter: "^/\\*" *** |
|
|
745 ;;; End: *** |
|
|
746 */ |
