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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, 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 #ifdef HAVE_CONFIG_H |
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1192
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25 #include <config.h> |
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458
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26 #endif |
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27 |
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28 #include <iostream.h> |
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29 |
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30 #include <Complex.h> |
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31 |
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32 #include "mx-base.h" |
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33 #include "mx-inlines.cc" |
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34 #include "lo-error.h" |
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35 #include "f77-uscore.h" |
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36 |
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37 // Fortran functions we call. |
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38 |
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39 extern "C" |
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40 { |
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1253
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41 int F77_FCN (zgemv, ZGEMV) (const char*, const int&, const int&, |
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42 const Complex&, const Complex*, |
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43 const int&, const Complex*, const int&, |
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44 const Complex&, Complex*, const int&, |
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45 long); |
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458
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46 } |
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47 |
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48 /* |
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49 * Complex Row Vector class |
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50 */ |
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51 |
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52 ComplexRowVector::ComplexRowVector (const RowVector& a) |
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53 : MArray<Complex> (a.length ()) |
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54 { |
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55 for (int i = 0; i < length (); i++) |
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56 elem (i) = a.elem (i); |
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57 } |
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58 |
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59 int |
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60 ComplexRowVector::operator == (const ComplexRowVector& a) const |
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61 { |
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62 int len = length (); |
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63 if (len != a.length ()) |
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64 return 0; |
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65 return equal (data (), a.data (), len); |
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66 } |
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67 |
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68 int |
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69 ComplexRowVector::operator != (const ComplexRowVector& a) const |
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70 { |
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71 return !(*this == a); |
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72 } |
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73 |
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74 // destructive insert/delete/reorder operations |
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75 |
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76 ComplexRowVector& |
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77 ComplexRowVector::insert (const RowVector& a, int c) |
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78 { |
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79 int a_len = a.length (); |
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80 if (c < 0 || c + a_len - 1 > length ()) |
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81 { |
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82 (*current_liboctave_error_handler) ("range error for insert"); |
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83 return *this; |
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84 } |
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85 |
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86 for (int i = 0; i < a_len; i++) |
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87 elem (c+i) = a.elem (i); |
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88 |
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89 return *this; |
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90 } |
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91 |
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92 ComplexRowVector& |
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93 ComplexRowVector::insert (const ComplexRowVector& a, int c) |
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94 { |
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95 int a_len = a.length (); |
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96 if (c < 0 || c + a_len - 1 > length ()) |
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97 { |
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98 (*current_liboctave_error_handler) ("range error for insert"); |
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99 return *this; |
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100 } |
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101 |
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102 for (int i = 0; i < a_len; i++) |
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103 elem (c+i) = a.elem (i); |
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104 |
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105 return *this; |
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106 } |
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107 |
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108 ComplexRowVector& |
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109 ComplexRowVector::fill (double val) |
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110 { |
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111 int len = length (); |
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112 if (len > 0) |
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113 for (int i = 0; i < len; i++) |
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114 elem (i) = val; |
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115 return *this; |
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116 } |
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117 |
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118 ComplexRowVector& |
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119 ComplexRowVector::fill (const Complex& val) |
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120 { |
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121 int len = length (); |
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122 if (len > 0) |
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123 for (int i = 0; i < len; i++) |
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124 elem (i) = val; |
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125 return *this; |
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126 } |
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127 |
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128 ComplexRowVector& |
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129 ComplexRowVector::fill (double val, int c1, int c2) |
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130 { |
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131 int len = length (); |
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132 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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133 { |
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134 (*current_liboctave_error_handler) ("range error for fill"); |
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135 return *this; |
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136 } |
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137 |
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138 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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139 |
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140 for (int i = c1; i <= c2; i++) |
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141 elem (i) = val; |
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142 |
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143 return *this; |
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144 } |
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145 |
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146 ComplexRowVector& |
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147 ComplexRowVector::fill (const Complex& val, int c1, int c2) |
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148 { |
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149 int len = length (); |
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150 if (c1 < 0 || c2 < 0 || c1 >= len || c2 >= len) |
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151 { |
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152 (*current_liboctave_error_handler) ("range error for fill"); |
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153 return *this; |
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154 } |
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155 |
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156 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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157 |
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158 for (int i = c1; i <= c2; i++) |
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159 elem (i) = val; |
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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 ComplexRowVector |
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165 ComplexRowVector::append (const RowVector& a) const |
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166 { |
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167 int len = length (); |
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168 int nc_insert = len; |
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169 ComplexRowVector retval (len + a.length ()); |
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170 retval.insert (*this, 0); |
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171 retval.insert (a, nc_insert); |
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172 return retval; |
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173 } |
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174 |
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175 ComplexRowVector |
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176 ComplexRowVector::append (const ComplexRowVector& a) const |
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177 { |
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178 int len = length (); |
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179 int nc_insert = len; |
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180 ComplexRowVector retval (len + a.length ()); |
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181 retval.insert (*this, 0); |
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182 retval.insert (a, nc_insert); |
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183 return retval; |
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184 } |
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185 |
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186 ComplexColumnVector |
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187 ComplexRowVector::hermitian (void) const |
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188 { |
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189 int len = length (); |
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190 return ComplexColumnVector (conj_dup (data (), len), len); |
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191 } |
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192 |
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193 ComplexColumnVector |
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194 ComplexRowVector::transpose (void) const |
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195 { |
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196 int len = length (); |
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197 return ComplexColumnVector (dup (data (), len), len); |
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198 } |
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199 |
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200 ComplexRowVector |
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201 conj (const ComplexRowVector& a) |
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202 { |
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203 int a_len = a.length (); |
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204 ComplexRowVector retval; |
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205 if (a_len > 0) |
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206 retval = ComplexRowVector (conj_dup (a.data (), a_len), a_len); |
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207 return retval; |
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208 } |
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209 |
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210 // resize is the destructive equivalent for this one |
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211 |
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212 ComplexRowVector |
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213 ComplexRowVector::extract (int c1, int c2) const |
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214 { |
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215 if (c1 > c2) { int tmp = c1; c1 = c2; c2 = tmp; } |
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216 |
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217 int new_c = c2 - c1 + 1; |
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218 |
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219 ComplexRowVector result (new_c); |
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220 |
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221 for (int i = 0; i < new_c; i++) |
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222 result.elem (i) = elem (c1+i); |
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223 |
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224 return result; |
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225 } |
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226 |
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227 // row vector by row vector -> row vector operations |
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228 |
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229 ComplexRowVector& |
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230 ComplexRowVector::operator += (const RowVector& a) |
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231 { |
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232 int len = length (); |
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233 if (len != a.length ()) |
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234 { |
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235 (*current_liboctave_error_handler) |
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236 ("nonconformant vector += operation attempted"); |
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237 return *this; |
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238 } |
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239 |
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240 if (len == 0) |
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241 return *this; |
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242 |
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243 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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244 |
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245 add2 (d, a.data (), len); |
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246 return *this; |
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247 } |
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248 |
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249 ComplexRowVector& |
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250 ComplexRowVector::operator -= (const RowVector& a) |
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251 { |
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252 int len = length (); |
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253 if (len != a.length ()) |
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254 { |
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255 (*current_liboctave_error_handler) |
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256 ("nonconformant vector -= operation attempted"); |
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257 return *this; |
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258 } |
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259 |
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260 if (len == 0) |
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261 return *this; |
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262 |
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263 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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264 |
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265 subtract2 (d, a.data (), len); |
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266 return *this; |
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267 } |
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268 |
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269 ComplexRowVector& |
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270 ComplexRowVector::operator += (const ComplexRowVector& a) |
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271 { |
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272 int len = length (); |
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273 if (len != a.length ()) |
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274 { |
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275 (*current_liboctave_error_handler) |
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276 ("nonconformant vector += operation attempted"); |
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277 return *this; |
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278 } |
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279 |
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280 if (len == 0) |
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281 return *this; |
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282 |
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283 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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284 |
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285 add2 (d, a.data (), len); |
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286 return *this; |
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287 } |
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288 |
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289 ComplexRowVector& |
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290 ComplexRowVector::operator -= (const ComplexRowVector& a) |
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291 { |
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292 int len = length (); |
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293 if (len != a.length ()) |
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294 { |
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295 (*current_liboctave_error_handler) |
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296 ("nonconformant vector -= operation attempted"); |
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297 return *this; |
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298 } |
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299 |
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300 if (len == 0) |
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301 return *this; |
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302 |
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303 Complex *d = fortran_vec (); // Ensures only one reference to my privates! |
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304 |
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305 subtract2 (d, a.data (), len); |
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306 return *this; |
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307 } |
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308 |
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309 // row vector by scalar -> row vector operations |
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310 |
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311 ComplexRowVector |
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312 operator + (const ComplexRowVector& v, double s) |
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313 { |
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314 int len = v.length (); |
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315 return ComplexRowVector (add (v.data (), len, s), len); |
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316 } |
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317 |
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318 ComplexRowVector |
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319 operator - (const ComplexRowVector& v, double s) |
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320 { |
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321 int len = v.length (); |
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322 return ComplexRowVector (subtract (v.data (), len, s), len); |
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323 } |
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324 |
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325 ComplexRowVector |
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326 operator * (const ComplexRowVector& v, double s) |
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327 { |
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328 int len = v.length (); |
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329 return ComplexRowVector (multiply (v.data (), len, s), len); |
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330 } |
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331 |
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332 ComplexRowVector |
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333 operator / (const ComplexRowVector& v, double s) |
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334 { |
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335 int len = v.length (); |
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336 return ComplexRowVector (divide (v.data (), len, s), len); |
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337 } |
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338 |
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339 ComplexRowVector |
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340 operator + (const RowVector& v, const Complex& s) |
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341 { |
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342 int len = v.length (); |
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343 return ComplexRowVector (add (v.data (), len, s), len); |
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344 } |
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345 |
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346 ComplexRowVector |
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347 operator - (const RowVector& v, const Complex& s) |
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348 { |
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349 int len = v.length (); |
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350 return ComplexRowVector (subtract (v.data (), len, s), len); |
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351 } |
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352 |
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353 ComplexRowVector |
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354 operator * (const RowVector& v, const Complex& s) |
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355 { |
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356 int len = v.length (); |
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357 return ComplexRowVector (multiply (v.data (), len, s), len); |
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358 } |
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359 |
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360 ComplexRowVector |
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361 operator / (const RowVector& v, const Complex& s) |
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362 { |
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363 int len = v.length (); |
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364 return ComplexRowVector (divide (v.data (), len, s), len); |
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365 } |
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366 |
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458
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367 // scalar by row vector -> row vector operations |
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368 |
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369 ComplexRowVector |
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370 operator + (double s, const ComplexRowVector& a) |
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371 { |
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372 int a_len = a.length (); |
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373 return ComplexRowVector (add (a.data (), a_len, s), a_len); |
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374 } |
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375 |
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376 ComplexRowVector |
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377 operator - (double s, const ComplexRowVector& a) |
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378 { |
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379 int a_len = a.length (); |
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380 return ComplexRowVector (subtract (s, a.data (), a_len), a_len); |
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381 } |
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382 |
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383 ComplexRowVector |
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384 operator * (double s, const ComplexRowVector& a) |
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385 { |
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386 int a_len = a.length (); |
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387 return ComplexRowVector (multiply (a.data (), a_len, s), a_len); |
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388 } |
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389 |
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390 ComplexRowVector |
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391 operator / (double s, const ComplexRowVector& a) |
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392 { |
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393 int a_len = a.length (); |
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394 return ComplexRowVector (divide (s, a.data (), a_len), a_len); |
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395 } |
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396 |
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1205
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397 ComplexRowVector |
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398 operator + (const Complex& s, const RowVector& a) |
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458
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399 { |
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400 return ComplexRowVector (); |
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458
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401 } |
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402 |
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1205
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403 ComplexRowVector |
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404 operator - (const Complex& s, const RowVector& a) |
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458
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405 { |
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406 return ComplexRowVector (); |
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407 } |
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458
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408 |
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1205
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409 ComplexRowVector |
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410 operator * (const Complex& s, const RowVector& a) |
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411 { |
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412 return ComplexRowVector (); |
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413 } |
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458
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414 |
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1205
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415 ComplexRowVector |
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416 operator / (const Complex& s, const RowVector& a) |
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417 { |
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418 return ComplexRowVector (); |
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458
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419 } |
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420 |
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421 // row vector by matrix -> row vector |
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422 |
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423 ComplexRowVector |
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424 operator * (const ComplexRowVector& v, const ComplexMatrix& a) |
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425 { |
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426 int len = v.length (); |
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427 if (a.rows () != len) |
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428 { |
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429 (*current_liboctave_error_handler) |
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430 ("nonconformant vector multiplication attempted"); |
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431 return ComplexRowVector (); |
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432 } |
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433 |
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434 if (len == 0 || a.cols () == 0) |
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435 return ComplexRowVector (0); |
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436 |
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437 // Transpose A to form A'*x == (x'*A)' |
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438 |
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439 int a_nr = a.rows (); |
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440 int a_nc = a.cols (); |
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441 |
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442 int ld = a_nr; |
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443 |
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444 Complex *y = new Complex [len]; |
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445 |
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1253
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446 F77_FCN (zgemv, ZGEMV) ("T", a_nc, a_nr, 1.0, a.data (), ld, |
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447 v.data (), 1, 0.0, y, 1, 1L); |
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458
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448 |
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449 return ComplexRowVector (y, len); |
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450 } |
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451 |
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1205
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452 ComplexRowVector |
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453 operator * (const RowVector& v, const ComplexMatrix& a) |
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454 { |
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455 ComplexRowVector tmp (v); |
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456 return tmp * a; |
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457 } |
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458 |
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458
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459 // row vector by row vector -> row vector operations |
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460 |
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461 ComplexRowVector |
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462 operator + (const ComplexRowVector& v, const RowVector& a) |
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463 { |
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464 int len = v.length (); |
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465 if (len != a.length ()) |
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466 { |
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467 (*current_liboctave_error_handler) |
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468 ("nonconformant vector addition attempted"); |
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469 return ComplexRowVector (); |
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470 } |
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471 |
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472 if (len == 0) |
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473 return ComplexRowVector (0); |
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474 |
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475 return ComplexRowVector (add (v.data (), a.data (), len), len); |
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476 } |
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477 |
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478 ComplexRowVector |
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479 operator - (const ComplexRowVector& v, const RowVector& a) |
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480 { |
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481 int len = v.length (); |
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482 if (len != a.length ()) |
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483 { |
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484 (*current_liboctave_error_handler) |
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485 ("nonconformant vector subtraction attempted"); |
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486 return ComplexRowVector (); |
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487 } |
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488 |
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489 if (len == 0) |
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490 return ComplexRowVector (0); |
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491 |
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492 return ComplexRowVector (subtract (v.data (), a.data (), len), len); |
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493 } |
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494 |
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495 ComplexRowVector |
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1205
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496 operator + (const RowVector& v, const ComplexRowVector& a) |
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497 { |
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498 int len = v.length (); |
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499 if (len != a.length ()) |
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500 { |
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501 (*current_liboctave_error_handler) |
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502 ("nonconformant vector addition attempted"); |
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503 return ComplexRowVector (); |
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504 } |
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505 |
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506 if (len == 0) |
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507 return ComplexRowVector (0); |
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508 |
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509 return ComplexRowVector (add (v.data (), a.data (), len), len); |
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510 } |
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511 |
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512 ComplexRowVector |
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|
513 operator - (const RowVector& v, const ComplexRowVector& a) |
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514 { |
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515 int len = v.length (); |
|
|
516 if (len != a.length ()) |
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517 { |
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518 (*current_liboctave_error_handler) |
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|
519 ("nonconformant vector subtraction attempted"); |
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520 return ComplexRowVector (); |
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|
521 } |
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522 |
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|
523 if (len == 0) |
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|
524 return ComplexRowVector (0); |
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|
525 |
|
|
526 return ComplexRowVector (subtract (v.data (), a.data (), len), len); |
|
|
527 } |
|
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528 |
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|
529 ComplexRowVector |
|
458
|
530 product (const ComplexRowVector& v, const RowVector& a) |
|
|
531 { |
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|
532 int len = v.length (); |
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533 if (len != a.length ()) |
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534 { |
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|
535 (*current_liboctave_error_handler) |
|
|
536 ("nonconformant vector product attempted"); |
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|
537 return ComplexRowVector (); |
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|
538 } |
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539 |
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540 if (len == 0) |
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541 return ComplexRowVector (0); |
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542 |
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543 return ComplexRowVector (multiply (v.data (), a.data (), len), len); |
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544 } |
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545 |
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|
546 ComplexRowVector |
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547 quotient (const ComplexRowVector& v, const RowVector& a) |
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|
548 { |
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549 int len = v.length (); |
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550 if (len != a.length ()) |
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|
551 { |
|
|
552 (*current_liboctave_error_handler) |
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|
553 ("nonconformant vector quotient attempted"); |
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554 return ComplexRowVector (); |
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555 } |
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556 |
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557 if (len == 0) |
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558 return ComplexRowVector (0); |
|
|
559 |
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560 return ComplexRowVector (divide (v.data (), a.data (), len), len); |
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|
561 } |
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|
562 |
|
1205
|
563 ComplexRowVector |
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|
564 product (const RowVector& v, const ComplexRowVector& a) |
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565 { |
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|
566 int len = v.length (); |
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|
567 if (len != a.length ()) |
|
|
568 { |
|
|
569 (*current_liboctave_error_handler) |
|
|
570 ("nonconformant vector product attempted"); |
|
|
571 return ComplexRowVector (); |
|
|
572 } |
|
|
573 |
|
|
574 if (len == 0) |
|
|
575 return ComplexRowVector (0); |
|
|
576 |
|
|
577 return ComplexRowVector (multiply (v.data (), a.data (), len), len); |
|
|
578 } |
|
|
579 |
|
|
580 ComplexRowVector |
|
|
581 quotient (const RowVector& v, const ComplexRowVector& a) |
|
|
582 { |
|
|
583 int len = v.length (); |
|
|
584 if (len != a.length ()) |
|
|
585 { |
|
|
586 (*current_liboctave_error_handler) |
|
|
587 ("nonconformant vector quotient attempted"); |
|
|
588 return ComplexRowVector (); |
|
|
589 } |
|
|
590 |
|
|
591 if (len == 0) |
|
|
592 return ComplexRowVector (0); |
|
|
593 |
|
|
594 return ComplexRowVector (divide (v.data (), a.data (), len), len); |
|
|
595 } |
|
|
596 |
|
458
|
597 // other operations |
|
|
598 |
|
|
599 ComplexRowVector |
|
|
600 map (c_c_Mapper f, const ComplexRowVector& a) |
|
|
601 { |
|
|
602 ComplexRowVector b (a); |
|
|
603 b.map (f); |
|
|
604 return b; |
|
|
605 } |
|
|
606 |
|
|
607 void |
|
|
608 ComplexRowVector::map (c_c_Mapper f) |
|
|
609 { |
|
|
610 for (int i = 0; i < length (); i++) |
|
|
611 elem (i) = f (elem (i)); |
|
|
612 } |
|
|
613 |
|
|
614 Complex |
|
|
615 ComplexRowVector::min (void) const |
|
|
616 { |
|
|
617 int len = length (); |
|
|
618 if (len == 0) |
|
|
619 return Complex (0.0); |
|
|
620 |
|
|
621 Complex res = elem (0); |
|
|
622 double absres = abs (res); |
|
|
623 |
|
|
624 for (int i = 1; i < len; i++) |
|
|
625 if (abs (elem (i)) < absres) |
|
|
626 { |
|
|
627 res = elem (i); |
|
|
628 absres = abs (res); |
|
|
629 } |
|
|
630 |
|
|
631 return res; |
|
|
632 } |
|
|
633 |
|
|
634 Complex |
|
|
635 ComplexRowVector::max (void) const |
|
|
636 { |
|
|
637 int len = length (); |
|
|
638 if (len == 0) |
|
|
639 return Complex (0.0); |
|
|
640 |
|
|
641 Complex res = elem (0); |
|
|
642 double absres = abs (res); |
|
|
643 |
|
|
644 for (int i = 1; i < len; i++) |
|
|
645 if (abs (elem (i)) > absres) |
|
|
646 { |
|
|
647 res = elem (i); |
|
|
648 absres = abs (res); |
|
|
649 } |
|
|
650 |
|
|
651 return res; |
|
|
652 } |
|
|
653 |
|
|
654 // i/o |
|
|
655 |
|
|
656 ostream& |
|
|
657 operator << (ostream& os, const ComplexRowVector& a) |
|
|
658 { |
|
|
659 // int field_width = os.precision () + 7; |
|
|
660 for (int i = 0; i < a.length (); i++) |
|
|
661 os << " " /* setw (field_width) */ << a.elem (i); |
|
|
662 return os; |
|
|
663 } |
|
|
664 |
|
|
665 istream& |
|
|
666 operator >> (istream& is, ComplexRowVector& a) |
|
|
667 { |
|
|
668 int len = a.length(); |
|
|
669 |
|
|
670 if (len < 1) |
|
|
671 is.clear (ios::badbit); |
|
|
672 else |
|
|
673 { |
|
|
674 Complex tmp; |
|
|
675 for (int i = 0; i < len; i++) |
|
|
676 { |
|
|
677 is >> tmp; |
|
|
678 if (is) |
|
|
679 a.elem (i) = tmp; |
|
|
680 else |
|
|
681 break; |
|
|
682 } |
|
|
683 } |
|
532
|
684 return is; |
|
458
|
685 } |
|
|
686 |
|
1205
|
687 // row vector by column vector -> scalar |
|
|
688 |
|
|
689 // row vector by column vector -> scalar |
|
|
690 |
|
|
691 Complex |
|
|
692 operator * (const ComplexRowVector& v, const ColumnVector& a) |
|
|
693 { |
|
|
694 ComplexColumnVector tmp (a); |
|
|
695 return v * tmp; |
|
|
696 } |
|
|
697 |
|
|
698 Complex |
|
|
699 operator * (const ComplexRowVector& v, const ComplexColumnVector& a) |
|
|
700 { |
|
|
701 int len = v.length (); |
|
|
702 if (len != a.length ()) |
|
|
703 { |
|
|
704 (*current_liboctave_error_handler) |
|
|
705 ("nonconformant vector multiplication attempted"); |
|
|
706 return 0.0; |
|
|
707 } |
|
|
708 |
|
|
709 Complex retval (0.0, 0.0); |
|
|
710 |
|
|
711 for (int i = 0; i < len; i++) |
|
|
712 retval += v.elem (i) * a.elem (i); |
|
|
713 |
|
|
714 return retval; |
|
|
715 } |
|
|
716 |
|
|
717 // other operations |
|
|
718 |
|
|
719 ComplexRowVector |
|
|
720 linspace (const Complex& x1, const Complex& x2, int n) |
|
|
721 { |
|
|
722 ComplexRowVector retval; |
|
|
723 |
|
|
724 if (n > 0) |
|
|
725 { |
|
|
726 retval.resize (n); |
|
|
727 Complex delta = (x2 - x1) / (n - 1); |
|
|
728 retval.elem (0) = x1; |
|
|
729 for (int i = 1; i < n-1; i++) |
|
|
730 retval.elem (i) = x1 + i * delta; |
|
|
731 retval.elem (n-1) = x2; |
|
|
732 } |
|
|
733 |
|
|
734 return retval; |
|
|
735 } |
|
|
736 |
|
458
|
737 /* |
|
|
738 ;;; Local Variables: *** |
|
|
739 ;;; mode: C++ *** |
|
|
740 ;;; page-delimiter: "^/\\*" *** |
|
|
741 ;;; End: *** |
|
|
742 */ |
