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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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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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1296
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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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458
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28 #ifdef HAVE_CONFIG_H |
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1192
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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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34 #include <Complex.h> |
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35 |
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36 #include "mx-base.h" |
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37 #include "mx-inlines.cc" |
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38 #include "lo-error.h" |
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39 #include "f77-uscore.h" |
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40 |
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41 // Fortran functions we call. |
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42 |
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43 extern "C" |
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44 { |
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45 int F77_FCN (zgemv, ZGEMV) (const char*, const int&, const int&, |
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46 const Complex&, const Complex*, |
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47 const int&, const Complex*, const int&, |
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48 const Complex&, Complex*, const int&, |
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49 long); |
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458
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50 } |
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51 |
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1360
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52 // Complex Row Vector class |
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53 |
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54 ComplexRowVector::ComplexRowVector (const RowVector& a) |
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55 : MArray<Complex> (a.length ()) |
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56 { |
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57 for (int i = 0; i < length (); i++) |
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58 elem (i) = a.elem (i); |
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59 } |
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60 |
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61 int |
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62 ComplexRowVector::operator == (const ComplexRowVector& a) const |
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63 { |
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64 int len = length (); |
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65 if (len != a.length ()) |
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66 return 0; |
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67 return equal (data (), a.data (), len); |
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68 } |
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69 |
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70 int |
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71 ComplexRowVector::operator != (const ComplexRowVector& a) const |
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72 { |
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73 return !(*this == a); |
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74 } |
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75 |
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76 // destructive insert/delete/reorder operations |
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77 |
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78 ComplexRowVector& |
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79 ComplexRowVector::insert (const RowVector& a, int c) |
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80 { |
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81 int a_len = a.length (); |
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82 if (c < 0 || c + a_len - 1 > length ()) |
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83 { |
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84 (*current_liboctave_error_handler) ("range error for insert"); |
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85 return *this; |
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86 } |
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87 |
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88 for (int i = 0; i < a_len; i++) |
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89 elem (c+i) = a.elem (i); |
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90 |
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91 return *this; |
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92 } |
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93 |
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94 ComplexRowVector& |
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95 ComplexRowVector::insert (const ComplexRowVector& a, int c) |
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96 { |
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97 int a_len = a.length (); |
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98 if (c < 0 || c + a_len - 1 > length ()) |
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99 { |
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100 (*current_liboctave_error_handler) ("range error for insert"); |
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101 return *this; |
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102 } |
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103 |
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104 for (int i = 0; i < a_len; i++) |
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105 elem (c+i) = a.elem (i); |
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106 |
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107 return *this; |
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108 } |
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109 |
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110 ComplexRowVector& |
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111 ComplexRowVector::fill (double val) |
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112 { |
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113 int len = length (); |
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114 if (len > 0) |
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115 for (int i = 0; i < len; i++) |
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116 elem (i) = val; |
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117 return *this; |
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118 } |
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119 |
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120 ComplexRowVector& |
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121 ComplexRowVector::fill (const Complex& val) |
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122 { |
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123 int len = length (); |
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124 if (len > 0) |
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125 for (int i = 0; i < len; i++) |
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126 elem (i) = val; |
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127 return *this; |
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128 } |
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129 |
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130 ComplexRowVector& |
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131 ComplexRowVector::fill (double val, int c1, int c2) |
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132 { |
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133 int len = length (); |
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134 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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135 { |
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136 (*current_liboctave_error_handler) ("range error for fill"); |
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137 return *this; |
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138 } |
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139 |
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140 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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141 |
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142 for (int i = c1; i <= c2; i++) |
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143 elem (i) = val; |
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144 |
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145 return *this; |
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146 } |
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147 |
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148 ComplexRowVector& |
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149 ComplexRowVector::fill (const Complex& val, int c1, int c2) |
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150 { |
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151 int len = length (); |
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152 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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153 { |
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154 (*current_liboctave_error_handler) ("range error for fill"); |
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155 return *this; |
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156 } |
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157 |
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158 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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159 |
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160 for (int i = c1; i <= c2; i++) |
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161 elem (i) = val; |
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162 |
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163 return *this; |
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164 } |
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165 |
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166 ComplexRowVector |
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167 ComplexRowVector::append (const RowVector& a) const |
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168 { |
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169 int len = length (); |
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170 int nc_insert = len; |
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171 ComplexRowVector retval (len + a.length ()); |
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172 retval.insert (*this, 0); |
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173 retval.insert (a, nc_insert); |
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174 return retval; |
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175 } |
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176 |
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177 ComplexRowVector |
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178 ComplexRowVector::append (const ComplexRowVector& a) const |
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179 { |
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180 int len = length (); |
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181 int nc_insert = len; |
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182 ComplexRowVector retval (len + a.length ()); |
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183 retval.insert (*this, 0); |
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184 retval.insert (a, nc_insert); |
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185 return retval; |
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186 } |
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187 |
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188 ComplexColumnVector |
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189 ComplexRowVector::hermitian (void) const |
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190 { |
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191 int len = length (); |
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192 return ComplexColumnVector (conj_dup (data (), len), len); |
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193 } |
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194 |
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195 ComplexColumnVector |
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196 ComplexRowVector::transpose (void) const |
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197 { |
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198 int len = length (); |
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199 return ComplexColumnVector (dup (data (), len), len); |
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200 } |
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201 |
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202 ComplexRowVector |
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203 conj (const ComplexRowVector& a) |
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204 { |
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205 int a_len = a.length (); |
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206 ComplexRowVector retval; |
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207 if (a_len > 0) |
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208 retval = ComplexRowVector (conj_dup (a.data (), a_len), a_len); |
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209 return retval; |
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210 } |
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211 |
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212 // resize is the destructive equivalent for this one |
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213 |
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214 ComplexRowVector |
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215 ComplexRowVector::extract (int c1, int c2) const |
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216 { |
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217 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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218 |
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219 int new_c = c2 - c1 + 1; |
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220 |
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221 ComplexRowVector result (new_c); |
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222 |
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223 for (int i = 0; i < new_c; i++) |
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224 result.elem (i) = elem (c1+i); |
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225 |
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226 return result; |
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227 } |
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228 |
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229 // row vector by row vector -> row vector operations |
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230 |
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231 ComplexRowVector& |
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232 ComplexRowVector::operator += (const RowVector& a) |
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233 { |
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234 int len = length (); |
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235 if (len != a.length ()) |
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236 { |
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237 (*current_liboctave_error_handler) |
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238 ("nonconformant vector += operation attempted"); |
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239 return *this; |
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240 } |
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241 |
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242 if (len == 0) |
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243 return *this; |
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244 |
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245 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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246 |
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247 add2 (d, a.data (), len); |
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248 return *this; |
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249 } |
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250 |
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251 ComplexRowVector& |
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252 ComplexRowVector::operator -= (const RowVector& a) |
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253 { |
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254 int len = length (); |
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255 if (len != a.length ()) |
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256 { |
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257 (*current_liboctave_error_handler) |
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258 ("nonconformant vector -= operation attempted"); |
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259 return *this; |
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260 } |
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261 |
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262 if (len == 0) |
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263 return *this; |
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264 |
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265 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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266 |
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267 subtract2 (d, a.data (), len); |
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268 return *this; |
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269 } |
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270 |
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271 ComplexRowVector& |
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272 ComplexRowVector::operator += (const ComplexRowVector& a) |
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273 { |
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274 int len = length (); |
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275 if (len != a.length ()) |
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276 { |
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277 (*current_liboctave_error_handler) |
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278 ("nonconformant vector += operation attempted"); |
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279 return *this; |
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280 } |
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281 |
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282 if (len == 0) |
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283 return *this; |
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284 |
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285 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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286 |
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287 add2 (d, a.data (), len); |
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288 return *this; |
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289 } |
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290 |
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291 ComplexRowVector& |
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292 ComplexRowVector::operator -= (const ComplexRowVector& a) |
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293 { |
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294 int len = length (); |
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295 if (len != a.length ()) |
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296 { |
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297 (*current_liboctave_error_handler) |
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298 ("nonconformant vector -= operation attempted"); |
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299 return *this; |
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300 } |
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301 |
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302 if (len == 0) |
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303 return *this; |
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304 |
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305 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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306 |
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307 subtract2 (d, a.data (), len); |
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308 return *this; |
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309 } |
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310 |
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311 // row vector by scalar -> row vector operations |
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312 |
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313 ComplexRowVector |
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314 operator + (const ComplexRowVector& v, double s) |
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315 { |
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316 int len = v.length (); |
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317 return ComplexRowVector (add (v.data (), len, s), len); |
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318 } |
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319 |
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320 ComplexRowVector |
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321 operator - (const ComplexRowVector& v, double s) |
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322 { |
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323 int len = v.length (); |
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324 return ComplexRowVector (subtract (v.data (), len, s), len); |
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325 } |
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326 |
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327 ComplexRowVector |
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328 operator * (const ComplexRowVector& v, double s) |
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329 { |
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330 int len = v.length (); |
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331 return ComplexRowVector (multiply (v.data (), len, s), len); |
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332 } |
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333 |
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334 ComplexRowVector |
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335 operator / (const ComplexRowVector& v, double s) |
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336 { |
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337 int len = v.length (); |
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338 return ComplexRowVector (divide (v.data (), len, s), len); |
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339 } |
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340 |
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341 ComplexRowVector |
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342 operator + (const RowVector& v, const Complex& s) |
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343 { |
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344 int len = v.length (); |
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345 return ComplexRowVector (add (v.data (), len, s), len); |
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346 } |
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347 |
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348 ComplexRowVector |
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349 operator - (const RowVector& v, const Complex& s) |
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350 { |
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351 int len = v.length (); |
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352 return ComplexRowVector (subtract (v.data (), len, s), len); |
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353 } |
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354 |
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355 ComplexRowVector |
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356 operator * (const RowVector& v, const Complex& s) |
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357 { |
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358 int len = v.length (); |
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359 return ComplexRowVector (multiply (v.data (), len, s), len); |
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360 } |
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361 |
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362 ComplexRowVector |
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363 operator / (const RowVector& v, const Complex& s) |
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364 { |
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365 int len = v.length (); |
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366 return ComplexRowVector (divide (v.data (), len, s), len); |
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367 } |
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368 |
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458
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369 // scalar by row vector -> row vector operations |
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370 |
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371 ComplexRowVector |
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372 operator + (double s, const ComplexRowVector& a) |
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373 { |
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374 int a_len = a.length (); |
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375 return ComplexRowVector (add (a.data (), a_len, s), a_len); |
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376 } |
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377 |
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378 ComplexRowVector |
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379 operator - (double s, const ComplexRowVector& a) |
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380 { |
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381 int a_len = a.length (); |
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382 return ComplexRowVector (subtract (s, a.data (), a_len), a_len); |
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383 } |
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384 |
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385 ComplexRowVector |
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386 operator * (double s, const ComplexRowVector& a) |
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387 { |
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388 int a_len = a.length (); |
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389 return ComplexRowVector (multiply (a.data (), a_len, s), a_len); |
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390 } |
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391 |
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392 ComplexRowVector |
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393 operator / (double s, const ComplexRowVector& a) |
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394 { |
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395 int a_len = a.length (); |
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396 return ComplexRowVector (divide (s, a.data (), a_len), a_len); |
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397 } |
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398 |
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399 ComplexRowVector |
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400 operator + (const Complex& s, const RowVector& a) |
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458
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401 { |
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402 return ComplexRowVector (); |
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458
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403 } |
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404 |
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1205
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405 ComplexRowVector |
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406 operator - (const Complex& s, const RowVector& a) |
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458
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407 { |
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408 return ComplexRowVector (); |
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409 } |
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458
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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 return ComplexRowVector (); |
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415 } |
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416 |
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417 ComplexRowVector |
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418 operator / (const Complex& s, const RowVector& a) |
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419 { |
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420 return ComplexRowVector (); |
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458
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421 } |
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422 |
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423 // row vector by matrix -> row vector |
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424 |
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425 ComplexRowVector |
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426 operator * (const ComplexRowVector& v, const ComplexMatrix& a) |
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427 { |
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428 int len = v.length (); |
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429 if (a.rows () != len) |
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430 { |
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431 (*current_liboctave_error_handler) |
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432 ("nonconformant vector multiplication attempted"); |
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433 return ComplexRowVector (); |
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434 } |
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435 |
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436 if (len == 0 || a.cols () == 0) |
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437 return ComplexRowVector (0); |
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438 |
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1360
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439 // Transpose A to form A'*x == (x'*A)' |
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458
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440 |
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441 int a_nr = a.rows (); |
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442 int a_nc = a.cols (); |
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443 |
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444 int ld = a_nr; |
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445 |
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446 Complex *y = new Complex [len]; |
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447 |
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448 F77_FCN (zgemv, ZGEMV) ("T", a_nc, a_nr, 1.0, a.data (), ld, |
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449 v.data (), 1, 0.0, y, 1, 1L); |
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458
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450 |
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451 return ComplexRowVector (y, len); |
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452 } |
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453 |
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1205
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454 ComplexRowVector |
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455 operator * (const RowVector& v, const ComplexMatrix& a) |
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456 { |
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457 ComplexRowVector tmp (v); |
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458 return tmp * a; |
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459 } |
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460 |
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458
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461 // row vector by row vector -> row vector operations |
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462 |
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463 ComplexRowVector |
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464 operator + (const ComplexRowVector& v, const RowVector& a) |
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465 { |
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466 int len = v.length (); |
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467 if (len != a.length ()) |
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468 { |
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469 (*current_liboctave_error_handler) |
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470 ("nonconformant vector addition attempted"); |
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471 return ComplexRowVector (); |
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472 } |
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473 |
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474 if (len == 0) |
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475 return ComplexRowVector (0); |
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476 |
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477 return ComplexRowVector (add (v.data (), a.data (), len), len); |
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478 } |
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479 |
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480 ComplexRowVector |
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481 operator - (const ComplexRowVector& v, const RowVector& a) |
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482 { |
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483 int len = v.length (); |
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484 if (len != a.length ()) |
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485 { |
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486 (*current_liboctave_error_handler) |
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487 ("nonconformant vector subtraction attempted"); |
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488 return ComplexRowVector (); |
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489 } |
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490 |
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491 if (len == 0) |
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492 return ComplexRowVector (0); |
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493 |
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494 return ComplexRowVector (subtract (v.data (), a.data (), len), len); |
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495 } |
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496 |
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497 ComplexRowVector |
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1205
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498 operator + (const RowVector& v, const ComplexRowVector& a) |
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499 { |
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500 int len = v.length (); |
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501 if (len != a.length ()) |
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502 { |
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503 (*current_liboctave_error_handler) |
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504 ("nonconformant vector addition attempted"); |
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505 return ComplexRowVector (); |
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506 } |
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|
507 |
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|
508 if (len == 0) |
|
|
509 return ComplexRowVector (0); |
|
|
510 |
|
|
511 return ComplexRowVector (add (v.data (), a.data (), len), len); |
|
|
512 } |
|
|
513 |
|
|
514 ComplexRowVector |
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|
515 operator - (const RowVector& v, const ComplexRowVector& a) |
|
|
516 { |
|
|
517 int len = v.length (); |
|
|
518 if (len != a.length ()) |
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|
519 { |
|
|
520 (*current_liboctave_error_handler) |
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|
521 ("nonconformant vector subtraction attempted"); |
|
|
522 return ComplexRowVector (); |
|
|
523 } |
|
|
524 |
|
|
525 if (len == 0) |
|
|
526 return ComplexRowVector (0); |
|
|
527 |
|
|
528 return ComplexRowVector (subtract (v.data (), a.data (), len), len); |
|
|
529 } |
|
|
530 |
|
|
531 ComplexRowVector |
|
458
|
532 product (const ComplexRowVector& v, const RowVector& a) |
|
|
533 { |
|
|
534 int len = v.length (); |
|
|
535 if (len != a.length ()) |
|
|
536 { |
|
|
537 (*current_liboctave_error_handler) |
|
|
538 ("nonconformant vector product attempted"); |
|
|
539 return ComplexRowVector (); |
|
|
540 } |
|
|
541 |
|
|
542 if (len == 0) |
|
|
543 return ComplexRowVector (0); |
|
|
544 |
|
|
545 return ComplexRowVector (multiply (v.data (), a.data (), len), len); |
|
|
546 } |
|
|
547 |
|
|
548 ComplexRowVector |
|
|
549 quotient (const ComplexRowVector& v, const RowVector& a) |
|
|
550 { |
|
|
551 int len = v.length (); |
|
|
552 if (len != a.length ()) |
|
|
553 { |
|
|
554 (*current_liboctave_error_handler) |
|
|
555 ("nonconformant vector quotient attempted"); |
|
|
556 return ComplexRowVector (); |
|
|
557 } |
|
|
558 |
|
|
559 if (len == 0) |
|
|
560 return ComplexRowVector (0); |
|
|
561 |
|
|
562 return ComplexRowVector (divide (v.data (), a.data (), len), len); |
|
|
563 } |
|
|
564 |
|
1205
|
565 ComplexRowVector |
|
|
566 product (const RowVector& v, const ComplexRowVector& a) |
|
|
567 { |
|
|
568 int len = v.length (); |
|
|
569 if (len != a.length ()) |
|
|
570 { |
|
|
571 (*current_liboctave_error_handler) |
|
|
572 ("nonconformant vector product attempted"); |
|
|
573 return ComplexRowVector (); |
|
|
574 } |
|
|
575 |
|
|
576 if (len == 0) |
|
|
577 return ComplexRowVector (0); |
|
|
578 |
|
|
579 return ComplexRowVector (multiply (v.data (), a.data (), len), len); |
|
|
580 } |
|
|
581 |
|
|
582 ComplexRowVector |
|
|
583 quotient (const RowVector& v, const ComplexRowVector& a) |
|
|
584 { |
|
|
585 int len = v.length (); |
|
|
586 if (len != a.length ()) |
|
|
587 { |
|
|
588 (*current_liboctave_error_handler) |
|
|
589 ("nonconformant vector quotient attempted"); |
|
|
590 return ComplexRowVector (); |
|
|
591 } |
|
|
592 |
|
|
593 if (len == 0) |
|
|
594 return ComplexRowVector (0); |
|
|
595 |
|
|
596 return ComplexRowVector (divide (v.data (), a.data (), len), len); |
|
|
597 } |
|
|
598 |
|
458
|
599 // other operations |
|
|
600 |
|
|
601 ComplexRowVector |
|
|
602 map (c_c_Mapper f, const ComplexRowVector& a) |
|
|
603 { |
|
|
604 ComplexRowVector b (a); |
|
|
605 b.map (f); |
|
|
606 return b; |
|
|
607 } |
|
|
608 |
|
|
609 void |
|
|
610 ComplexRowVector::map (c_c_Mapper f) |
|
|
611 { |
|
|
612 for (int i = 0; i < length (); i++) |
|
|
613 elem (i) = f (elem (i)); |
|
|
614 } |
|
|
615 |
|
|
616 Complex |
|
|
617 ComplexRowVector::min (void) const |
|
|
618 { |
|
|
619 int len = length (); |
|
|
620 if (len == 0) |
|
|
621 return Complex (0.0); |
|
|
622 |
|
|
623 Complex res = elem (0); |
|
|
624 double absres = abs (res); |
|
|
625 |
|
|
626 for (int i = 1; i < len; i++) |
|
|
627 if (abs (elem (i)) < absres) |
|
|
628 { |
|
|
629 res = elem (i); |
|
|
630 absres = abs (res); |
|
|
631 } |
|
|
632 |
|
|
633 return res; |
|
|
634 } |
|
|
635 |
|
|
636 Complex |
|
|
637 ComplexRowVector::max (void) const |
|
|
638 { |
|
|
639 int len = length (); |
|
|
640 if (len == 0) |
|
|
641 return Complex (0.0); |
|
|
642 |
|
|
643 Complex res = elem (0); |
|
|
644 double absres = abs (res); |
|
|
645 |
|
|
646 for (int i = 1; i < len; i++) |
|
|
647 if (abs (elem (i)) > absres) |
|
|
648 { |
|
|
649 res = elem (i); |
|
|
650 absres = abs (res); |
|
|
651 } |
|
|
652 |
|
|
653 return res; |
|
|
654 } |
|
|
655 |
|
|
656 // i/o |
|
|
657 |
|
|
658 ostream& |
|
|
659 operator << (ostream& os, const ComplexRowVector& a) |
|
|
660 { |
|
|
661 // int field_width = os.precision () + 7; |
|
|
662 for (int i = 0; i < a.length (); i++) |
|
|
663 os << " " /* setw (field_width) */ << a.elem (i); |
|
|
664 return os; |
|
|
665 } |
|
|
666 |
|
|
667 istream& |
|
|
668 operator >> (istream& is, ComplexRowVector& a) |
|
|
669 { |
|
|
670 int len = a.length(); |
|
|
671 |
|
|
672 if (len < 1) |
|
|
673 is.clear (ios::badbit); |
|
|
674 else |
|
|
675 { |
|
|
676 Complex tmp; |
|
|
677 for (int i = 0; i < len; i++) |
|
|
678 { |
|
|
679 is >> tmp; |
|
|
680 if (is) |
|
|
681 a.elem (i) = tmp; |
|
|
682 else |
|
|
683 break; |
|
|
684 } |
|
|
685 } |
|
532
|
686 return is; |
|
458
|
687 } |
|
|
688 |
|
1205
|
689 // row vector by column vector -> scalar |
|
|
690 |
|
|
691 // row vector by column vector -> scalar |
|
|
692 |
|
|
693 Complex |
|
|
694 operator * (const ComplexRowVector& v, const ColumnVector& a) |
|
|
695 { |
|
|
696 ComplexColumnVector tmp (a); |
|
|
697 return v * tmp; |
|
|
698 } |
|
|
699 |
|
|
700 Complex |
|
|
701 operator * (const ComplexRowVector& v, const ComplexColumnVector& a) |
|
|
702 { |
|
|
703 int len = v.length (); |
|
|
704 if (len != a.length ()) |
|
|
705 { |
|
|
706 (*current_liboctave_error_handler) |
|
|
707 ("nonconformant vector multiplication attempted"); |
|
|
708 return 0.0; |
|
|
709 } |
|
|
710 |
|
|
711 Complex retval (0.0, 0.0); |
|
|
712 |
|
|
713 for (int i = 0; i < len; i++) |
|
|
714 retval += v.elem (i) * a.elem (i); |
|
|
715 |
|
|
716 return retval; |
|
|
717 } |
|
|
718 |
|
|
719 // other operations |
|
|
720 |
|
|
721 ComplexRowVector |
|
|
722 linspace (const Complex& x1, const Complex& x2, int n) |
|
|
723 { |
|
|
724 ComplexRowVector retval; |
|
|
725 |
|
|
726 if (n > 0) |
|
|
727 { |
|
|
728 retval.resize (n); |
|
|
729 Complex delta = (x2 - x1) / (n - 1); |
|
|
730 retval.elem (0) = x1; |
|
|
731 for (int i = 1; i < n-1; i++) |
|
|
732 retval.elem (i) = x1 + i * delta; |
|
|
733 retval.elem (n-1) = x2; |
|
|
734 } |
|
|
735 |
|
|
736 return retval; |
|
|
737 } |
|
|
738 |
|
458
|
739 /* |
|
|
740 ;;; Local Variables: *** |
|
|
741 ;;; mode: C++ *** |
|
|
742 ;;; page-delimiter: "^/\\*" *** |
|
|
743 ;;; End: *** |
|
|
744 */ |
