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1 // f-log.cc -*- C++ -*- |
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2 /* |
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3 |
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4 Copyright (C) 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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25 #include <config.h> |
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26 #endif |
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27 |
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28 #include "EIG.h" |
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29 |
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30 #include "tree-const.h" |
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31 #include "user-prefs.h" |
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32 #include "error.h" |
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33 #include "gripes.h" |
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34 #include "utils.h" |
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35 #include "help.h" |
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36 #include "defun-dld.h" |
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37 |
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38 // XXX FIXME XXX -- the next two functions should really be just one... |
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39 |
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40 DEFUN_DLD_BUILTIN ("logm", Flogm, Slogm, 2, 1, |
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41 "logm (X): matrix logarithm") |
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42 { |
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43 Octave_object retval; |
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44 |
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45 int nargin = args.length (); |
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46 |
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47 if (nargin != 1) |
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48 { |
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49 print_usage ("logm"); |
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50 return retval; |
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51 } |
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52 |
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53 tree_constant arg = args(0); |
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54 |
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55 int arg_is_empty = empty_arg ("logm", arg.rows (), arg.columns ()); |
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56 |
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57 if (arg_is_empty < 0) |
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58 return retval; |
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59 else if (arg_is_empty > 0) |
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60 return Matrix (); |
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61 |
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62 if (arg.is_real_scalar ()) |
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63 { |
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64 double d = arg.double_value (); |
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65 if (d > 0.0) |
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66 retval(0) = log (d); |
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67 else |
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68 { |
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69 Complex dtmp (d); |
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70 retval(0) = log (dtmp); |
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71 } |
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72 } |
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73 else if (arg.is_complex_scalar ()) |
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74 { |
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75 Complex c = arg.complex_value (); |
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76 retval(0) = log (c); |
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77 } |
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78 else if (arg.is_real_type ()) |
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79 { |
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80 Matrix m = arg.matrix_value (); |
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81 |
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82 if (! error_state) |
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83 { |
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84 int nr = m.rows (); |
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85 int nc = m.columns (); |
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86 |
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87 if (nr == 0 || nc == 0 || nr != nc) |
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88 gripe_square_matrix_required ("logm"); |
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89 else |
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90 { |
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91 EIG m_eig (m); |
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92 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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93 ComplexMatrix Q (m_eig.eigenvectors ()); |
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94 |
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95 for (int i = 0; i < nr; i++) |
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96 { |
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97 Complex elt = lambda.elem (i); |
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98 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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99 lambda.elem (i) = log (real (elt)); |
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100 else |
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101 lambda.elem (i) = log (elt); |
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102 } |
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103 |
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104 ComplexDiagMatrix D (lambda); |
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105 ComplexMatrix result = Q * D * Q.inverse (); |
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106 |
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107 retval(0) = result; |
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108 } |
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109 } |
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110 } |
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111 else if (arg.is_complex_type ()) |
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112 { |
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113 ComplexMatrix m = arg.complex_matrix_value (); |
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114 |
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115 if (! error_state) |
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116 { |
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117 int nr = m.rows (); |
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118 int nc = m.columns (); |
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119 |
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120 if (nr == 0 || nc == 0 || nr != nc) |
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121 gripe_square_matrix_required ("logm"); |
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122 else |
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123 { |
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124 EIG m_eig (m); |
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125 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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126 ComplexMatrix Q (m_eig.eigenvectors ()); |
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127 |
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128 for (int i = 0; i < nr; i++) |
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129 { |
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130 Complex elt = lambda.elem (i); |
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131 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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132 lambda.elem (i) = log (real (elt)); |
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133 else |
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134 lambda.elem (i) = log (elt); |
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135 } |
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136 |
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137 ComplexDiagMatrix D (lambda); |
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138 ComplexMatrix result = Q * D * Q.inverse (); |
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139 |
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140 retval(0) = result; |
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141 } |
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142 } |
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143 } |
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144 else |
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145 { |
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146 gripe_wrong_type_arg ("logm", arg); |
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147 } |
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148 |
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149 return retval; |
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150 } |
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151 |
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152 DEFUN_DLD_BUILTIN ("sqrtm", Fsqrtm, Ssqrtm, 2, 1, |
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153 "sqrtm (X): matrix sqrt") |
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154 { |
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155 Octave_object retval; |
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156 |
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157 int nargin = args.length (); |
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158 |
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159 if (nargin != 1) |
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160 { |
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161 print_usage ("sqrtm"); |
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162 return retval; |
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163 } |
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164 |
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165 tree_constant arg = args(0); |
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166 |
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167 int arg_is_empty = empty_arg ("sqrtm", arg.rows (), arg.columns ()); |
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168 |
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169 if (arg_is_empty < 0) |
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170 return retval; |
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171 else if (arg_is_empty > 0) |
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172 return Matrix (); |
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173 |
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174 if (arg.is_real_scalar ()) |
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175 { |
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176 double d = arg.double_value (); |
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177 if (d > 0.0) |
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178 retval(0) = sqrt (d); |
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179 else |
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180 { |
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181 Complex dtmp (d); |
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182 retval(0) = sqrt (dtmp); |
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183 } |
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184 } |
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185 else if (arg.is_complex_scalar ()) |
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186 { |
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187 Complex c = arg.complex_value (); |
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188 retval(0) = log (c); |
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189 } |
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190 else if (arg.is_real_type ()) |
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191 { |
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192 Matrix m = arg.matrix_value (); |
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193 |
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194 if (! error_state) |
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195 { |
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196 int nr = m.rows (); |
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197 int nc = m.columns (); |
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198 |
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199 if (nr == 0 || nc == 0 || nr != nc) |
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200 gripe_square_matrix_required ("sqrtm"); |
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201 else |
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202 { |
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203 EIG m_eig (m); |
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204 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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205 ComplexMatrix Q (m_eig.eigenvectors ()); |
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206 |
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207 for (int i = 0; i < nr; i++) |
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208 { |
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209 Complex elt = lambda.elem (i); |
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210 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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211 lambda.elem (i) = sqrt (real (elt)); |
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212 else |
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213 lambda.elem (i) = sqrt (elt); |
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214 } |
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215 |
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216 ComplexDiagMatrix D (lambda); |
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217 ComplexMatrix result = Q * D * Q.inverse (); |
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218 |
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219 retval(0) = result; |
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220 } |
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221 } |
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222 } |
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223 else if (arg.is_complex_type ()) |
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224 { |
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225 ComplexMatrix m = arg.complex_matrix_value (); |
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226 |
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227 if (! error_state) |
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228 { |
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229 int nr = m.rows (); |
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230 int nc = m.columns (); |
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231 |
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232 if (nr == 0 || nc == 0 || nr != nc) |
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233 gripe_square_matrix_required ("sqrtm"); |
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234 else |
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235 { |
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236 EIG m_eig (m); |
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237 ComplexColumnVector lambda (m_eig.eigenvalues ()); |
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238 ComplexMatrix Q (m_eig.eigenvectors ()); |
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239 |
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240 for (int i = 0; i < nr; i++) |
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241 { |
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242 Complex elt = lambda.elem (i); |
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243 if (imag (elt) == 0.0 && real (elt) > 0.0) |
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244 lambda.elem (i) = sqrt (real (elt)); |
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245 else |
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246 lambda.elem (i) = sqrt (elt); |
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247 } |
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248 |
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249 ComplexDiagMatrix D (lambda); |
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250 ComplexMatrix result = Q * D * Q.inverse (); |
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251 |
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252 retval(0) = result; |
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253 } |
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254 } |
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255 } |
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256 else |
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257 { |
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258 gripe_wrong_type_arg ("sqrtm", arg); |
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259 } |
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260 |
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261 return retval; |
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262 } |
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263 |
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264 /* |
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265 ;;; Local Variables: *** |
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266 ;;; mode: C++ *** |
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267 ;;; page-delimiter: "^/\\*" *** |
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268 ;;; End: *** |
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269 */ |
