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3
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1 // RowVector manipulations. -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 1992, 1993 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, 675 Mass Ave, Cambridge, MA 02139, USA. |
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21 |
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22 */ |
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23 |
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24 // I\'m not sure how this is supposed to work if the .h file declares |
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25 // several classes, each of which is defined in a separate file... |
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26 // |
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27 // #ifdef __GNUG__ |
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28 // #pragma implementation "Matrix.h" |
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29 // #endif |
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30 |
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31 #include "Matrix.h" |
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32 #include "mx-inlines.cc" |
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33 |
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34 /* |
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35 * Row Vector class. |
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36 */ |
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37 |
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38 RowVector::RowVector (int n) |
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39 { |
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40 if (n < 0) |
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41 FAIL; |
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42 |
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43 len = n; |
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44 if (len > 0) |
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45 data = new double [len]; |
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46 else |
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47 data = (double *) NULL; |
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48 } |
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49 |
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50 RowVector::RowVector (int n, double val) |
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51 { |
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52 if (n < 0) |
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53 FAIL; |
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54 |
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55 len = n; |
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56 if (len > 0) |
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57 { |
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58 data = new double [len]; |
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59 copy (data, len, val); |
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60 } |
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61 else |
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62 data = (double *) NULL; |
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63 } |
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64 |
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65 RowVector::RowVector (const RowVector& a) |
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66 { |
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67 len = a.len; |
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68 if (len > 0) |
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69 { |
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70 data = new double [len]; |
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71 copy (data, a.data, len); |
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72 } |
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73 else |
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74 data = (double *) NULL; |
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75 } |
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76 |
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77 RowVector::RowVector (double a) |
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78 { |
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79 len = 1; |
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80 data = new double [1]; |
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81 data[0] = a; |
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82 } |
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83 |
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84 RowVector& |
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85 RowVector::operator = (const RowVector& a) |
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86 { |
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87 if (this != &a) |
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88 { |
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89 delete [] data; |
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90 len = a.len; |
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91 if (len > 0) |
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92 { |
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93 data = new double [len]; |
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94 copy (data, a.data, len); |
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95 } |
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96 else |
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97 data = (double *) NULL; |
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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 RowVector& |
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103 RowVector::resize (int n) |
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104 { |
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105 if (n < 0) |
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106 FAIL; |
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107 |
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108 double *new_data = (double *) NULL; |
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109 if (n > 0) |
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110 { |
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111 new_data = new double [n]; |
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112 int min_len = len < n ? len : n; |
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113 |
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114 for (int i = 0; i < min_len; i++) |
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115 new_data[i] = data[i]; |
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116 } |
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117 |
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118 delete [] data; |
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119 len = n; |
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120 data = new_data; |
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121 |
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122 return *this; |
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123 } |
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124 |
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125 RowVector& |
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126 RowVector::resize (int n, double val) |
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127 { |
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128 int old_len = len; |
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129 resize (n); |
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130 for (int i = old_len; i < len; i++) |
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131 data[i] = val; |
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132 |
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133 return *this; |
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134 } |
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135 |
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136 int |
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137 RowVector::operator == (const RowVector& a) const |
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138 { |
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139 if (len != a.len) |
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140 return 0; |
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141 return equal (data, a.data, len); |
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142 } |
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143 |
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144 int |
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145 RowVector::operator != (const RowVector& a) const |
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146 { |
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147 if (len != a.len) |
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148 return 1; |
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149 return !equal (data, a.data, len); |
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150 } |
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151 |
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152 RowVector& |
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153 RowVector::insert (const RowVector& a, int c) |
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154 { |
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155 if (c < 0 || c + a.len - 1 > len) |
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156 FAIL; |
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157 |
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158 for (int i = 0; i < a.len; i++) |
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159 data[c+i] = a.data[i]; |
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160 |
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161 return *this; |
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162 } |
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163 |
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164 RowVector& |
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165 RowVector::fill (double val) |
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166 { |
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167 if (len > 0) |
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168 copy (data, len, val); |
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169 return *this; |
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170 } |
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171 |
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172 RowVector& |
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173 RowVector::fill (double val, int c1, int c2) |
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174 { |
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175 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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176 FAIL; |
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177 |
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178 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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179 |
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180 for (int i = c1; i <= c2; i++) |
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181 data[i] = val; |
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182 |
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183 return *this; |
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184 } |
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185 |
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186 RowVector |
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187 RowVector::append (const RowVector& a) const |
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188 { |
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189 int nc_insert = len; |
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190 RowVector retval (len + a.len); |
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191 retval.insert (*this, 0); |
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192 retval.insert (a, nc_insert); |
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193 return retval; |
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194 } |
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195 |
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196 ColumnVector |
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197 RowVector::transpose (void) const |
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198 { |
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199 return ColumnVector (dup (data, len), len); |
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200 } |
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201 |
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202 RowVector |
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203 RowVector::extract (int c1, int c2) const |
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204 { |
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205 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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206 |
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207 int new_c = c2 - c1 + 1; |
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208 |
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209 RowVector result (new_c); |
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210 |
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211 for (int i = 0; i < new_c; i++) |
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212 result.data[i] = elem (c1+i); |
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213 |
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214 return result; |
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215 } |
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216 |
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217 // row vector by scalar -> row vector operations |
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218 |
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219 RowVector |
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220 RowVector::operator + (double s) const |
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221 { |
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222 return RowVector (add (data, len, s), len); |
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223 } |
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224 |
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225 RowVector |
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226 RowVector::operator - (double s) const |
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227 { |
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228 return RowVector (subtract (data, len, s), len); |
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229 } |
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230 |
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231 RowVector |
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232 RowVector::operator * (double s) const |
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233 { |
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234 return RowVector (multiply (data, len, s), len); |
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235 } |
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236 |
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237 RowVector |
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238 RowVector::operator / (double s) const |
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239 { |
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240 return RowVector (divide (data, len, s), len); |
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241 } |
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242 |
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243 ComplexRowVector |
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161
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244 RowVector::operator + (const Complex& s) const |
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245 { |
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246 return ComplexRowVector (add (data, len, s), len); |
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247 } |
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248 |
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249 ComplexRowVector |
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250 RowVector::operator - (const Complex& s) const |
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251 { |
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252 return ComplexRowVector (subtract (data, len, s), len); |
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253 } |
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254 |
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255 ComplexRowVector |
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161
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256 RowVector::operator * (const Complex& s) const |
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257 { |
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258 return ComplexRowVector (multiply (data, len, s), len); |
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259 } |
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260 |
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261 ComplexRowVector |
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161
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262 RowVector::operator / (const Complex& s) const |
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263 { |
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264 return ComplexRowVector (divide (data, len, s), len); |
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265 } |
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266 |
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267 // scalar by row vector -> row vector operations |
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268 |
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269 RowVector |
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270 operator + (double s, const RowVector& a) |
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271 { |
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272 return RowVector (add (a.data, a.len, s), a.len); |
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273 } |
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274 |
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275 RowVector |
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276 operator - (double s, const RowVector& a) |
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277 { |
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278 return RowVector (subtract (s, a.data, a.len), a.len); |
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279 } |
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280 |
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281 RowVector |
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282 operator * (double s, const RowVector& a) |
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283 { |
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284 return RowVector (multiply (a.data, a.len, s), a.len); |
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285 } |
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286 |
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287 RowVector |
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288 operator / (double s, const RowVector& a) |
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289 { |
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290 return RowVector (divide (s, a.data, a.len), a.len); |
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291 } |
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292 |
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293 // row vector by column vector -> scalar |
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294 |
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295 double |
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296 RowVector::operator * (const ColumnVector& a) const |
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297 { |
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298 if (len != a.len) |
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299 FAIL; |
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300 |
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301 int i_one = 1; |
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302 return F77_FCN (ddot) (&len, data, &i_one, a.data, &i_one); |
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303 } |
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304 |
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305 Complex |
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306 RowVector::operator * (const ComplexColumnVector& a) const |
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307 { |
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308 ComplexRowVector tmp (*this); |
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309 return tmp * a; |
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310 } |
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311 |
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312 // row vector by matrix -> row vector |
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313 |
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314 RowVector |
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315 RowVector::operator * (const Matrix& a) const |
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316 { |
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317 if (a.nr != len) |
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318 FAIL; |
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319 |
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320 if (len == 0 || a.nc == 0) |
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321 return RowVector (0); |
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322 |
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323 // Transpose A to form A'*x == (x'*A)' |
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324 |
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325 int anr = a.nr; |
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326 int anc = a.nc; |
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327 |
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328 char trans = 'T'; |
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329 int ld = anr; |
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330 double alpha = 1.0; |
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331 double beta = 0.0; |
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332 int i_one = 1; |
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333 |
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334 double *y = new double [len]; |
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335 |
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336 F77_FCN (dgemv) (&trans, &anc, &anr, &alpha, a.data, &ld, data, |
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337 &i_one, &beta, y, &i_one, 1L); |
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338 |
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339 return RowVector (y, len); |
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340 } |
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341 |
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342 ComplexRowVector |
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343 RowVector::operator * (const ComplexMatrix& a) const |
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344 { |
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345 ComplexRowVector tmp (*this); |
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346 return tmp * a; |
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347 } |
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348 |
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349 // row vector by row vector -> row vector operations |
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350 |
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351 RowVector |
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352 RowVector::operator + (const RowVector& a) const |
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353 { |
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354 if (len != a.len) |
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355 FAIL; |
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356 |
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357 if (len == 0) |
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358 return RowVector (0); |
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359 |
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360 return RowVector (add (data, a.data, len), len); |
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361 } |
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362 |
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363 RowVector |
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364 RowVector::operator - (const RowVector& a) const |
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365 { |
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366 if (len != a.len) |
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367 FAIL; |
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368 |
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369 if (len == 0) |
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370 return RowVector (0); |
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371 |
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372 return RowVector (subtract (data, a.data, len), len); |
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373 } |
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374 |
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375 ComplexRowVector |
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376 RowVector::operator + (const ComplexRowVector& a) const |
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377 { |
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378 if (len != a.len) |
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379 FAIL; |
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380 |
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381 if (len == 0) |
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382 return ComplexRowVector (0); |
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383 |
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384 return ComplexRowVector (add (data, a.data, len), len); |
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385 } |
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386 |
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387 ComplexRowVector |
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388 RowVector::operator - (const ComplexRowVector& a) const |
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389 { |
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390 if (len != a.len) |
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391 FAIL; |
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392 |
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393 if (len == 0) |
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394 return ComplexRowVector (0); |
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395 |
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396 return ComplexRowVector (subtract (data, a.data, len), len); |
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397 } |
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398 |
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399 RowVector |
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400 RowVector::product (const RowVector& a) const |
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401 { |
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402 if (len != a.len) |
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403 FAIL; |
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404 |
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405 if (len == 0) |
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406 return RowVector (0); |
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407 |
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408 return RowVector (multiply (data, a.data, len), len); |
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409 } |
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410 |
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411 RowVector |
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412 RowVector::quotient (const RowVector& a) const |
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413 { |
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414 if (len != a.len) |
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415 FAIL; |
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416 |
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417 if (len == 0) |
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418 return RowVector (0); |
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419 |
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420 return RowVector (divide (data, a.data, len), len); |
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421 } |
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422 |
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423 ComplexRowVector |
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424 RowVector::product (const ComplexRowVector& a) const |
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425 { |
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426 if (len != a.len) |
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427 FAIL; |
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428 |
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429 if (len == 0) |
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430 return ComplexRowVector (0); |
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431 |
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432 return ComplexRowVector (multiply (data, a.data, len), len); |
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433 } |
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434 |
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435 ComplexRowVector |
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436 RowVector::quotient (const ComplexRowVector& a) const |
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437 { |
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438 if (len != a.len) |
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439 FAIL; |
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440 |
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441 if (len == 0) |
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442 return ComplexRowVector (0); |
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443 |
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444 return ComplexRowVector (divide (data, a.data, len), len); |
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445 } |
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446 |
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447 RowVector& |
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448 RowVector::operator += (const RowVector& a) |
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449 { |
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450 if (len != a.len) |
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451 FAIL; |
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452 |
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453 if (len == 0) |
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454 return *this; |
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455 |
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456 add2 (data, a.data, len); |
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457 return *this; |
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458 } |
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459 |
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460 RowVector& |
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461 RowVector::operator -= (const RowVector& a) |
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462 { |
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463 if (len != a.len) |
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464 FAIL; |
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465 |
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466 if (len == 0) |
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467 return *this; |
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468 |
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469 subtract2 (data, a.data, len); |
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470 return *this; |
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471 } |
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472 |
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473 // unary operations |
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474 |
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475 RowVector |
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476 RowVector::operator - (void) const |
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477 { |
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478 if (len == 0) |
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479 return RowVector (0); |
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480 |
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481 return RowVector (negate (data, len), len); |
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482 } |
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483 |
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484 RowVector |
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485 map (d_d_Mapper f, const RowVector& a) |
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486 { |
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487 RowVector b (a); |
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488 b.map (f); |
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489 return b; |
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490 } |
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491 |
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492 void |
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493 RowVector::map (d_d_Mapper f) |
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494 { |
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495 for (int i = 0; i < len; i++) |
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496 data[i] = f (data[i]); |
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497 } |
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498 |
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499 double |
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500 RowVector::min (void) const |
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501 { |
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502 if (len == 0) |
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503 return 0; |
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504 |
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505 double res = data[0]; |
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506 |
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507 for (int i = 1; i < len; i++) |
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508 if (data[i] < res) |
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509 res = data[i]; |
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510 |
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511 return res; |
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512 } |
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513 |
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514 double |
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515 RowVector::max (void) const |
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516 { |
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517 if (len == 0) |
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518 return 0; |
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519 |
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520 double res = data[0]; |
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521 |
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522 for (int i = 1; i < len; i++) |
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523 if (data[i] > res) |
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524 res = data[i]; |
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525 |
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526 return res; |
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527 } |
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528 |
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529 ostream& |
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530 operator << (ostream& os, const RowVector& a) |
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531 { |
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532 // int field_width = os.precision () + 7; |
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533 for (int i = 0; i < a.len; i++) |
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534 os << " " /* setw (field_width) */ << a.data[i]; |
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535 return os; |
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536 } |
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537 |
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538 /* |
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539 * Complex Row Vector class |
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540 */ |
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541 |
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542 ComplexRowVector::ComplexRowVector (int n) |
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|
543 { |
|
|
544 if (n < 0) |
|
|
545 FAIL; |
|
|
546 |
|
|
547 len = n; |
|
|
548 if (len > 0) |
|
|
549 data = new Complex [len]; |
|
|
550 else |
|
|
551 data = (Complex *) NULL; |
|
|
552 } |
|
|
553 |
|
|
554 ComplexRowVector::ComplexRowVector (int n, double val) |
|
|
555 { |
|
|
556 if (n < 0) |
|
|
557 FAIL; |
|
|
558 |
|
|
559 len = n; |
|
|
560 if (len > 0) |
|
|
561 { |
|
|
562 data = new Complex [len]; |
|
|
563 copy (data, len, val); |
|
|
564 } |
|
|
565 else |
|
|
566 data = (Complex *) NULL; |
|
|
567 } |
|
|
568 |
|
161
|
569 ComplexRowVector::ComplexRowVector (int n, const Complex& val) |
|
3
|
570 { |
|
|
571 if (n < 0) |
|
|
572 FAIL; |
|
|
573 |
|
|
574 len = n; |
|
|
575 if (len > 0) |
|
|
576 { |
|
|
577 data = new Complex [len]; |
|
|
578 copy (data, len, val); |
|
|
579 } |
|
|
580 else |
|
|
581 data = (Complex *) NULL; |
|
|
582 } |
|
|
583 |
|
|
584 ComplexRowVector::ComplexRowVector (const RowVector& a) |
|
|
585 { |
|
|
586 len = a.len; |
|
|
587 if (len > 0) |
|
|
588 { |
|
|
589 data = new Complex [len]; |
|
|
590 copy (data, a.data, len); |
|
|
591 } |
|
|
592 else |
|
|
593 data = (Complex *) NULL; |
|
|
594 } |
|
|
595 |
|
|
596 ComplexRowVector::ComplexRowVector (const ComplexRowVector& a) |
|
|
597 { |
|
|
598 len = a.len; |
|
|
599 if (len > 0) |
|
|
600 { |
|
|
601 data = new Complex [len]; |
|
|
602 copy (data, a.data, len); |
|
|
603 } |
|
|
604 else |
|
|
605 data = (Complex *) NULL; |
|
|
606 } |
|
|
607 |
|
|
608 ComplexRowVector::ComplexRowVector (double a) |
|
|
609 { |
|
|
610 len = 1; |
|
|
611 data = new Complex [1]; |
|
|
612 data[0] = a; |
|
|
613 } |
|
|
614 |
|
161
|
615 ComplexRowVector::ComplexRowVector (const Complex& a) |
|
3
|
616 { |
|
|
617 len = 1; |
|
|
618 data = new Complex [1]; |
|
|
619 data[0] = Complex (a); |
|
|
620 } |
|
|
621 |
|
|
622 ComplexRowVector& |
|
|
623 ComplexRowVector::operator = (const RowVector& a) |
|
|
624 { |
|
|
625 delete [] data; |
|
|
626 len = a.len; |
|
|
627 if (len > 0) |
|
|
628 { |
|
|
629 data = new Complex [len]; |
|
|
630 copy (data, a.data, len); |
|
|
631 } |
|
|
632 else |
|
|
633 data = (Complex *) NULL; |
|
|
634 |
|
|
635 return *this; |
|
|
636 } |
|
|
637 |
|
|
638 ComplexRowVector& |
|
|
639 ComplexRowVector::operator = (const ComplexRowVector& a) |
|
|
640 { |
|
|
641 if (this != &a) |
|
|
642 { |
|
|
643 delete [] data; |
|
|
644 len = a.len; |
|
|
645 if (len > 0) |
|
|
646 { |
|
|
647 data = new Complex [len]; |
|
|
648 copy (data, a.data, len); |
|
|
649 } |
|
|
650 else |
|
|
651 data = (Complex *) NULL; |
|
|
652 } |
|
|
653 return *this; |
|
|
654 } |
|
|
655 |
|
|
656 ComplexRowVector& |
|
|
657 ComplexRowVector::resize (int n) |
|
|
658 { |
|
|
659 if (n < 0) |
|
|
660 FAIL; |
|
|
661 |
|
|
662 Complex *new_data = (Complex *) NULL; |
|
|
663 if (n > 0) |
|
|
664 { |
|
|
665 new_data = new Complex [n]; |
|
|
666 int min_len = len < n ? len : n; |
|
|
667 |
|
|
668 for (int i = 0; i < min_len; i++) |
|
|
669 new_data[i] = data[i]; |
|
|
670 } |
|
|
671 |
|
|
672 delete [] data; |
|
|
673 len = n; |
|
|
674 data = new_data; |
|
|
675 |
|
|
676 return *this; |
|
|
677 } |
|
|
678 |
|
|
679 ComplexRowVector& |
|
|
680 ComplexRowVector::resize (int n, double val) |
|
|
681 { |
|
|
682 int old_len = len; |
|
|
683 resize (n); |
|
|
684 for (int i = old_len; i < len; i++) |
|
|
685 data[i] = val; |
|
|
686 |
|
|
687 return *this; |
|
|
688 } |
|
|
689 |
|
|
690 ComplexRowVector& |
|
161
|
691 ComplexRowVector::resize (int n, const Complex& val) |
|
3
|
692 { |
|
|
693 int old_len = len; |
|
|
694 resize (n); |
|
|
695 for (int i = old_len; i < len; i++) |
|
|
696 data[i] = val; |
|
|
697 |
|
|
698 return *this; |
|
|
699 } |
|
|
700 |
|
|
701 int |
|
|
702 ComplexRowVector::operator == (const ComplexRowVector& a) const |
|
|
703 { |
|
|
704 if (len != a.len) |
|
|
705 return 0; |
|
|
706 return equal (data, a.data, len); |
|
|
707 } |
|
|
708 |
|
|
709 int |
|
|
710 ComplexRowVector::operator != (const ComplexRowVector& a) const |
|
|
711 { |
|
|
712 if (len != a.len) |
|
|
713 return 1; |
|
|
714 return !equal (data, a.data, len); |
|
|
715 } |
|
|
716 |
|
|
717 // destructive insert/delete/reorder operations |
|
|
718 |
|
|
719 ComplexRowVector& |
|
|
720 ComplexRowVector::insert (const RowVector& a, int c) |
|
|
721 { |
|
|
722 if (c < 0 || c + a.len - 1 > len) |
|
|
723 FAIL; |
|
|
724 |
|
|
725 for (int i = 0; i < a.len; i++) |
|
|
726 data[c+i] = a.data[i]; |
|
|
727 |
|
|
728 return *this; |
|
|
729 } |
|
|
730 |
|
|
731 ComplexRowVector& |
|
|
732 ComplexRowVector::insert (const ComplexRowVector& a, int c) |
|
|
733 { |
|
|
734 if (c < 0 || c + a.len - 1 > len) |
|
|
735 FAIL; |
|
|
736 |
|
|
737 for (int i = 0; i < a.len; i++) |
|
|
738 data[c+i] = a.data[i]; |
|
|
739 |
|
|
740 return *this; |
|
|
741 } |
|
|
742 |
|
|
743 ComplexRowVector& |
|
|
744 ComplexRowVector::fill (double val) |
|
|
745 { |
|
|
746 if (len > 0) |
|
|
747 copy (data, len, val); |
|
|
748 return *this; |
|
|
749 } |
|
|
750 |
|
|
751 ComplexRowVector& |
|
161
|
752 ComplexRowVector::fill (const Complex& val) |
|
3
|
753 { |
|
|
754 if (len > 0) |
|
|
755 copy (data, len, val); |
|
|
756 return *this; |
|
|
757 } |
|
|
758 |
|
|
759 ComplexRowVector& |
|
|
760 ComplexRowVector::fill (double val, int c1, int c2) |
|
|
761 { |
|
|
762 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
|
|
763 FAIL; |
|
|
764 |
|
|
765 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
|
|
766 |
|
|
767 for (int i = c1; i <= c2; i++) |
|
|
768 data[i] = val; |
|
|
769 |
|
|
770 return *this; |
|
|
771 } |
|
|
772 |
|
|
773 ComplexRowVector& |
|
161
|
774 ComplexRowVector::fill (const Complex& val, int c1, int c2) |
|
3
|
775 { |
|
|
776 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
|
|
777 FAIL; |
|
|
778 |
|
|
779 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
|
|
780 |
|
|
781 for (int i = c1; i <= c2; i++) |
|
|
782 data[i] = val; |
|
|
783 |
|
|
784 return *this; |
|
|
785 } |
|
|
786 |
|
|
787 ComplexRowVector |
|
|
788 ComplexRowVector::append (const RowVector& a) const |
|
|
789 { |
|
|
790 int nc_insert = len; |
|
|
791 ComplexRowVector retval (len + a.len); |
|
|
792 retval.insert (*this, 0); |
|
|
793 retval.insert (a, nc_insert); |
|
|
794 return retval; |
|
|
795 } |
|
|
796 |
|
|
797 ComplexRowVector |
|
|
798 ComplexRowVector::append (const ComplexRowVector& a) const |
|
|
799 { |
|
|
800 int nc_insert = len; |
|
|
801 ComplexRowVector retval (len + a.len); |
|
|
802 retval.insert (*this, 0); |
|
|
803 retval.insert (a, nc_insert); |
|
|
804 return retval; |
|
|
805 } |
|
|
806 |
|
|
807 ComplexColumnVector |
|
|
808 ComplexRowVector::hermitian (void) const |
|
|
809 { |
|
|
810 return ComplexColumnVector (conj_dup (data, len), len); |
|
|
811 } |
|
|
812 |
|
|
813 ComplexColumnVector |
|
|
814 ComplexRowVector::transpose (void) const |
|
|
815 { |
|
|
816 return ComplexColumnVector (dup (data, len), len); |
|
|
817 } |
|
|
818 |
|
|
819 RowVector |
|
|
820 real (const ComplexRowVector& a) |
|
|
821 { |
|
|
822 RowVector retval; |
|
|
823 if (a.len > 0) |
|
|
824 retval = RowVector (real_dup (a.data, a.len), a.len); |
|
|
825 return retval; |
|
|
826 } |
|
|
827 |
|
|
828 RowVector |
|
|
829 imag (const ComplexRowVector& a) |
|
|
830 { |
|
|
831 RowVector retval; |
|
|
832 if (a.len > 0) |
|
|
833 retval = RowVector (imag_dup (a.data, a.len), a.len); |
|
|
834 return retval; |
|
|
835 } |
|
|
836 |
|
|
837 ComplexRowVector |
|
|
838 conj (const ComplexRowVector& a) |
|
|
839 { |
|
|
840 ComplexRowVector retval; |
|
|
841 if (a.len > 0) |
|
|
842 retval = ComplexRowVector (conj_dup (a.data, a.len), a.len); |
|
|
843 return retval; |
|
|
844 } |
|
|
845 |
|
|
846 // resize is the destructive equivalent for this one |
|
|
847 |
|
|
848 ComplexRowVector |
|
|
849 ComplexRowVector::extract (int c1, int c2) const |
|
|
850 { |
|
|
851 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
|
|
852 |
|
|
853 int new_c = c2 - c1 + 1; |
|
|
854 |
|
|
855 ComplexRowVector result (new_c); |
|
|
856 |
|
|
857 for (int i = 0; i < new_c; i++) |
|
|
858 result.data[i] = elem (c1+i); |
|
|
859 |
|
|
860 return result; |
|
|
861 } |
|
|
862 |
|
|
863 // row vector by scalar -> row vector operations |
|
|
864 |
|
|
865 ComplexRowVector |
|
|
866 ComplexRowVector::operator + (double s) const |
|
|
867 { |
|
|
868 return ComplexRowVector (add (data, len, s), len); |
|
|
869 } |
|
|
870 |
|
|
871 ComplexRowVector |
|
|
872 ComplexRowVector::operator - (double s) const |
|
|
873 { |
|
|
874 return ComplexRowVector (subtract (data, len, s), len); |
|
|
875 } |
|
|
876 |
|
|
877 ComplexRowVector |
|
|
878 ComplexRowVector::operator * (double s) const |
|
|
879 { |
|
|
880 return ComplexRowVector (multiply (data, len, s), len); |
|
|
881 } |
|
|
882 |
|
|
883 ComplexRowVector |
|
|
884 ComplexRowVector::operator / (double s) const |
|
|
885 { |
|
|
886 return ComplexRowVector (divide (data, len, s), len); |
|
|
887 } |
|
|
888 |
|
|
889 ComplexRowVector |
|
161
|
890 ComplexRowVector::operator + (const Complex& s) const |
|
3
|
891 { |
|
|
892 return ComplexRowVector (add (data, len, s), len); |
|
|
893 } |
|
|
894 |
|
|
895 ComplexRowVector |
|
161
|
896 ComplexRowVector::operator - (const Complex& s) const |
|
3
|
897 { |
|
|
898 return ComplexRowVector (subtract (data, len, s), len); |
|
|
899 } |
|
|
900 |
|
|
901 ComplexRowVector |
|
161
|
902 ComplexRowVector::operator * (const Complex& s) const |
|
3
|
903 { |
|
|
904 return ComplexRowVector (multiply (data, len, s), len); |
|
|
905 } |
|
|
906 |
|
|
907 ComplexRowVector |
|
161
|
908 ComplexRowVector::operator / (const Complex& s) const |
|
3
|
909 { |
|
|
910 return ComplexRowVector (divide (data, len, s), len); |
|
|
911 } |
|
|
912 |
|
|
913 // scalar by row vector -> row vector operations |
|
|
914 |
|
|
915 ComplexRowVector |
|
|
916 operator + (double s, const ComplexRowVector& a) |
|
|
917 { |
|
|
918 return ComplexRowVector (add (a.data, a.len, s), a.len); |
|
|
919 } |
|
|
920 |
|
|
921 ComplexRowVector |
|
|
922 operator - (double s, const ComplexRowVector& a) |
|
|
923 { |
|
|
924 return ComplexRowVector (subtract (s, a.data, a.len), a.len); |
|
|
925 } |
|
|
926 |
|
|
927 ComplexRowVector |
|
|
928 operator * (double s, const ComplexRowVector& a) |
|
|
929 { |
|
|
930 return ComplexRowVector (multiply (a.data, a.len, s), a.len); |
|
|
931 } |
|
|
932 |
|
|
933 ComplexRowVector |
|
|
934 operator / (double s, const ComplexRowVector& a) |
|
|
935 { |
|
|
936 return ComplexRowVector (divide (s, a.data, a.len), a.len); |
|
|
937 } |
|
|
938 |
|
|
939 ComplexRowVector |
|
161
|
940 operator + (const Complex& s, const ComplexRowVector& a) |
|
3
|
941 { |
|
|
942 return ComplexRowVector (add (a.data, a.len, s), a.len); |
|
|
943 } |
|
|
944 |
|
|
945 ComplexRowVector |
|
161
|
946 operator - (const Complex& s, const ComplexRowVector& a) |
|
3
|
947 { |
|
|
948 return ComplexRowVector (subtract (s, a.data, a.len), a.len); |
|
|
949 } |
|
|
950 |
|
|
951 ComplexRowVector |
|
161
|
952 operator * (const Complex& s, const ComplexRowVector& a) |
|
3
|
953 { |
|
|
954 return ComplexRowVector (multiply (a.data, a.len, s), a.len); |
|
|
955 } |
|
|
956 |
|
|
957 ComplexRowVector |
|
161
|
958 operator / (const Complex& s, const ComplexRowVector& a) |
|
3
|
959 { |
|
|
960 return ComplexRowVector (divide (s, a.data, a.len), a.len); |
|
|
961 } |
|
|
962 |
|
|
963 // row vector by column vector -> scalar |
|
|
964 |
|
|
965 Complex |
|
|
966 ComplexRowVector::operator * (const ColumnVector& a) const |
|
|
967 { |
|
|
968 ComplexColumnVector tmp (a); |
|
|
969 return *this * tmp; |
|
|
970 } |
|
|
971 |
|
|
972 Complex |
|
|
973 ComplexRowVector::operator * (const ComplexColumnVector& a) const |
|
|
974 { |
|
|
975 // XXX FIXME XXX -- need function body |
|
|
976 assert (0); |
|
|
977 return Complex (0.0, 0.0); |
|
|
978 } |
|
|
979 |
|
|
980 // row vector by matrix -> row vector |
|
|
981 |
|
|
982 ComplexRowVector |
|
|
983 ComplexRowVector::operator * (const Matrix& a) const |
|
|
984 { |
|
|
985 ComplexMatrix tmp (a); |
|
|
986 return *this * tmp; |
|
|
987 } |
|
|
988 |
|
|
989 ComplexRowVector |
|
|
990 ComplexRowVector::operator * (const ComplexMatrix& a) const |
|
|
991 { |
|
|
992 if (a.nr != len) |
|
|
993 FAIL; |
|
|
994 |
|
|
995 if (len == 0 || a.nc == 0) |
|
|
996 return ComplexRowVector (0); |
|
|
997 |
|
|
998 // Transpose A to form A'*x == (x'*A)' |
|
|
999 |
|
|
1000 int anr = a.nr; |
|
|
1001 int anc = a.nc; |
|
|
1002 |
|
|
1003 char trans = 'T'; |
|
|
1004 int ld = anr; |
|
|
1005 Complex alpha (1.0); |
|
|
1006 Complex beta (0.0); |
|
|
1007 int i_one = 1; |
|
|
1008 |
|
|
1009 Complex *y = new Complex [len]; |
|
|
1010 |
|
|
1011 F77_FCN (zgemv) (&trans, &anc, &anr, &alpha, a.data, &ld, data, |
|
|
1012 &i_one, &beta, y, &i_one, 1L); |
|
|
1013 |
|
|
1014 return ComplexRowVector (y, len); |
|
|
1015 } |
|
|
1016 |
|
|
1017 // row vector by row vector -> row vector operations |
|
|
1018 |
|
|
1019 ComplexRowVector |
|
|
1020 ComplexRowVector::operator + (const RowVector& a) const |
|
|
1021 { |
|
|
1022 if (len != a.len) |
|
|
1023 FAIL; |
|
|
1024 |
|
|
1025 if (len == 0) |
|
|
1026 return ComplexRowVector (0); |
|
|
1027 |
|
|
1028 return ComplexRowVector (add (data, a.data, len), len); |
|
|
1029 } |
|
|
1030 |
|
|
1031 ComplexRowVector |
|
|
1032 ComplexRowVector::operator - (const RowVector& a) const |
|
|
1033 { |
|
|
1034 if (len != a.len) |
|
|
1035 FAIL; |
|
|
1036 |
|
|
1037 if (len == 0) |
|
|
1038 return ComplexRowVector (0); |
|
|
1039 |
|
|
1040 return ComplexRowVector (subtract (data, a.data, len), len); |
|
|
1041 } |
|
|
1042 |
|
|
1043 ComplexRowVector |
|
|
1044 ComplexRowVector::operator + (const ComplexRowVector& a) const |
|
|
1045 { |
|
|
1046 if (len != a.len) |
|
|
1047 FAIL; |
|
|
1048 |
|
|
1049 if (len == 0) |
|
|
1050 return ComplexRowVector (0); |
|
|
1051 |
|
|
1052 return ComplexRowVector (add (data, a.data, len), len); |
|
|
1053 } |
|
|
1054 |
|
|
1055 ComplexRowVector |
|
|
1056 ComplexRowVector::operator - (const ComplexRowVector& a) const |
|
|
1057 { |
|
|
1058 if (len != a.len) |
|
|
1059 FAIL; |
|
|
1060 |
|
|
1061 if (len == 0) |
|
|
1062 return ComplexRowVector (0); |
|
|
1063 |
|
|
1064 return ComplexRowVector (subtract (data, a.data, len), len); |
|
|
1065 } |
|
|
1066 |
|
|
1067 ComplexRowVector |
|
|
1068 ComplexRowVector::product (const RowVector& a) const |
|
|
1069 { |
|
|
1070 if (len != a.len) |
|
|
1071 FAIL; |
|
|
1072 |
|
|
1073 if (len == 0) |
|
|
1074 return ComplexRowVector (0); |
|
|
1075 |
|
|
1076 return ComplexRowVector (multiply (data, a.data, len), len); |
|
|
1077 } |
|
|
1078 |
|
|
1079 ComplexRowVector |
|
|
1080 ComplexRowVector::quotient (const RowVector& a) const |
|
|
1081 { |
|
|
1082 if (len != a.len) |
|
|
1083 FAIL; |
|
|
1084 |
|
|
1085 if (len == 0) |
|
|
1086 return ComplexRowVector (0); |
|
|
1087 |
|
|
1088 return ComplexRowVector (divide (data, a.data, len), len); |
|
|
1089 } |
|
|
1090 |
|
|
1091 ComplexRowVector |
|
|
1092 ComplexRowVector::product (const ComplexRowVector& a) const |
|
|
1093 { |
|
|
1094 if (len != a.len) |
|
|
1095 FAIL; |
|
|
1096 |
|
|
1097 if (len == 0) |
|
|
1098 return ComplexRowVector (0); |
|
|
1099 |
|
|
1100 return ComplexRowVector (multiply (data, a.data, len), len); |
|
|
1101 } |
|
|
1102 |
|
|
1103 ComplexRowVector |
|
|
1104 ComplexRowVector::quotient (const ComplexRowVector& a) const |
|
|
1105 { |
|
|
1106 if (len != a.len) |
|
|
1107 FAIL; |
|
|
1108 |
|
|
1109 if (len == 0) |
|
|
1110 return ComplexRowVector (0); |
|
|
1111 |
|
|
1112 return ComplexRowVector (divide (data, a.data, len), len); |
|
|
1113 } |
|
|
1114 |
|
|
1115 ComplexRowVector& |
|
|
1116 ComplexRowVector::operator += (const RowVector& a) |
|
|
1117 { |
|
|
1118 if (len != a.len) |
|
|
1119 FAIL; |
|
|
1120 |
|
|
1121 if (len == 0) |
|
|
1122 return *this; |
|
|
1123 |
|
|
1124 add2 (data, a.data, len); |
|
|
1125 return *this; |
|
|
1126 } |
|
|
1127 |
|
|
1128 ComplexRowVector& |
|
|
1129 ComplexRowVector::operator -= (const RowVector& a) |
|
|
1130 { |
|
|
1131 if (len != a.len) |
|
|
1132 FAIL; |
|
|
1133 |
|
|
1134 if (len == 0) |
|
|
1135 return *this; |
|
|
1136 |
|
|
1137 subtract2 (data, a.data, len); |
|
|
1138 return *this; |
|
|
1139 } |
|
|
1140 |
|
|
1141 ComplexRowVector& |
|
|
1142 ComplexRowVector::operator += (const ComplexRowVector& a) |
|
|
1143 { |
|
|
1144 if (len != a.len) |
|
|
1145 FAIL; |
|
|
1146 |
|
|
1147 if (len == 0) |
|
|
1148 return *this; |
|
|
1149 |
|
|
1150 add2 (data, a.data, len); |
|
|
1151 return *this; |
|
|
1152 } |
|
|
1153 |
|
|
1154 ComplexRowVector& |
|
|
1155 ComplexRowVector::operator -= (const ComplexRowVector& a) |
|
|
1156 { |
|
|
1157 if (len != a.len) |
|
|
1158 FAIL; |
|
|
1159 |
|
|
1160 if (len == 0) |
|
|
1161 return *this; |
|
|
1162 |
|
|
1163 subtract2 (data, a.data, len); |
|
|
1164 return *this; |
|
|
1165 } |
|
|
1166 |
|
|
1167 // unary operations |
|
|
1168 |
|
|
1169 ComplexRowVector |
|
|
1170 ComplexRowVector::operator - (void) const |
|
|
1171 { |
|
|
1172 if (len == 0) |
|
|
1173 return ComplexRowVector (0); |
|
|
1174 |
|
|
1175 return ComplexRowVector (negate (data, len), len); |
|
|
1176 } |
|
|
1177 |
|
|
1178 ComplexRowVector |
|
|
1179 map (c_c_Mapper f, const ComplexRowVector& a) |
|
|
1180 { |
|
|
1181 ComplexRowVector b (a); |
|
|
1182 b.map (f); |
|
|
1183 return b; |
|
|
1184 } |
|
|
1185 |
|
|
1186 RowVector |
|
|
1187 map (d_c_Mapper f, const ComplexRowVector& a) |
|
|
1188 { |
|
|
1189 RowVector b (a.len); |
|
|
1190 for (int i = 0; i < a.len; i++) |
|
|
1191 b.elem (i) = f (a.elem (i)); |
|
|
1192 return b; |
|
|
1193 } |
|
|
1194 |
|
|
1195 void |
|
|
1196 ComplexRowVector::map (c_c_Mapper f) |
|
|
1197 { |
|
|
1198 for (int i = 0; i < len; i++) |
|
|
1199 data[i] = f (data[i]); |
|
|
1200 } |
|
|
1201 |
|
|
1202 Complex |
|
|
1203 ComplexRowVector::min (void) const |
|
|
1204 { |
|
|
1205 if (len == 0) |
|
|
1206 return Complex (0.0); |
|
|
1207 |
|
|
1208 Complex res = data[0]; |
|
|
1209 double absres = abs (res); |
|
|
1210 |
|
|
1211 for (int i = 1; i < len; i++) |
|
|
1212 if (abs (data[i]) < absres) |
|
|
1213 { |
|
|
1214 res = data[i]; |
|
|
1215 absres = abs (res); |
|
|
1216 } |
|
|
1217 |
|
|
1218 return res; |
|
|
1219 } |
|
|
1220 |
|
|
1221 Complex |
|
|
1222 ComplexRowVector::max (void) const |
|
|
1223 { |
|
|
1224 if (len == 0) |
|
|
1225 return Complex (0.0); |
|
|
1226 |
|
|
1227 Complex res = data[0]; |
|
|
1228 double absres = abs (res); |
|
|
1229 |
|
|
1230 for (int i = 1; i < len; i++) |
|
|
1231 if (abs (data[i]) > absres) |
|
|
1232 { |
|
|
1233 res = data[i]; |
|
|
1234 absres = abs (res); |
|
|
1235 } |
|
|
1236 |
|
|
1237 return res; |
|
|
1238 } |
|
|
1239 |
|
|
1240 // i/o |
|
|
1241 |
|
|
1242 ostream& |
|
|
1243 operator << (ostream& os, const ComplexRowVector& a) |
|
|
1244 { |
|
|
1245 // int field_width = os.precision () + 7; |
|
|
1246 for (int i = 0; i < a.len; i++) |
|
|
1247 os << " " /* setw (field_width) */ << a.data[i]; |
|
|
1248 return os; |
|
|
1249 } |
|
|
1250 |
|
|
1251 |
|
|
1252 /* |
|
|
1253 ;;; Local Variables: *** |
|
|
1254 ;;; mode: C++ *** |
|
|
1255 ;;; page-delimiter: "^/\\*" *** |
|
|
1256 ;;; End: *** |
|
|
1257 */ |
