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1 /* |
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2 |
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3 Copyright (C) 1996 John W. Eaton |
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4 |
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5 This file is part of Octave. |
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6 |
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7 Octave is free software; you can redistribute it and/or modify it |
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8 under the terms of the GNU General Public License as published by the |
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9 Free Software Foundation; either version 2, or (at your option) any |
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10 later version. |
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11 |
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12 Octave is distributed in the hope that it will be useful, but WITHOUT |
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13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
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14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
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15 for more details. |
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16 |
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17 You should have received a copy of the GNU General Public License |
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18 along with Octave; see the file COPYING. If not, write to the Free |
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19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
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20 |
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21 */ |
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22 |
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240
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23 #ifdef HAVE_CONFIG_H |
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1192
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24 #include <config.h> |
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25 #endif |
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26 |
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1343
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27 #include <cassert> |
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1580
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28 #include <climits> |
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1343
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29 |
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1352
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30 #include "CColVector.h" |
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453
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31 #include "CDiagMatrix.h" |
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1352
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32 #include "CMatrix.h" |
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453
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33 #include "EIG.h" |
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1352
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34 #include "dDiagMatrix.h" |
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35 #include "dMatrix.h" |
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1651
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36 #include "oct-cmplx.h" |
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1352
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37 |
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38 #include "error.h" |
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1742
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39 #include "pt-const.h" |
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1567
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40 #include "utils.h" |
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1352
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41 #include "xpow.h" |
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1
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42 |
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43 // This function also appears in tree-const.cc. Maybe it should be a |
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44 // member function of the Matrix class. |
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45 |
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46 static int |
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47 any_element_is_negative (const Matrix& a) |
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48 { |
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49 int nr = a.rows (); |
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50 int nc = a.columns (); |
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51 for (int j = 0; j < nc; j++) |
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52 for (int i = 0; i < nr; i++) |
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53 if (a.elem (i, j) < 0.0) |
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54 return 1; |
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55 return 0; |
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56 } |
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57 |
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1567
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58 static inline int |
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59 xisint (double x) |
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60 { |
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61 return (D_NINT (x) == x |
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62 && ((x >= 0 && x < INT_MAX) |
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63 || (x <= 0 && x > INT_MIN))); |
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64 } |
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65 |
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767
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66 // Safer pow functions. |
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67 // |
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68 // op2 \ op1: s m cs cm |
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69 // +-- +---+---+----+----+ |
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70 // scalar | | 1 | 5 | 7 | 11 | |
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71 // +---+---+----+----+ |
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72 // matrix | 2 | E | 8 | E | |
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73 // +---+---+----+----+ |
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74 // complex_scalar | 3 | 6 | 9 | 12 | |
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75 // +---+---+----+----+ |
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76 // complex_matrix | 4 | E | 10 | E | |
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77 // +---+---+----+----+ |
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78 // |
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79 // E -> error, trapped in arith-ops.cc. |
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1
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80 |
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767
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81 // -*- 1 -*- |
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2086
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82 octave_value |
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1
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83 xpow (double a, double b) |
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84 { |
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85 if (a < 0.0 && (int) b != b) |
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86 { |
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87 Complex atmp (a); |
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88 return pow (atmp, b); |
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1
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89 } |
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90 else |
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1567
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91 return pow (a, b); |
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1
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92 } |
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93 |
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767
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94 // -*- 2 -*- |
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2086
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95 octave_value |
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164
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96 xpow (double a, const Matrix& b) |
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1
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97 { |
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2086
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98 octave_value retval; |
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1
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99 |
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100 int nr = b.rows (); |
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101 int nc = b.columns (); |
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102 |
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103 if (nr == 0 || nc == 0 || nr != nc) |
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104 error ("for x^A, A must be square"); |
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105 else |
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106 { |
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107 EIG b_eig (b); |
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108 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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109 ComplexMatrix Q (b_eig.eigenvectors ()); |
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110 |
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111 for (int i = 0; i < nr; i++) |
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112 { |
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113 Complex elt = lambda.elem (i); |
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114 if (imag (elt) == 0.0) |
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115 lambda.elem (i) = pow (a, real (elt)); |
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116 else |
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117 lambda.elem (i) = pow (a, elt); |
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118 } |
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119 ComplexDiagMatrix D (lambda); |
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120 |
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121 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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122 } |
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123 |
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124 return retval; |
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125 } |
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126 |
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767
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127 // -*- 3 -*- |
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128 octave_value |
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164
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129 xpow (double a, const Complex& b) |
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1
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130 { |
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131 Complex result; |
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132 Complex atmp (a); |
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133 result = pow (atmp, b); |
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134 return result; |
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1
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135 } |
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136 |
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767
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137 // -*- 4 -*- |
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138 octave_value |
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164
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139 xpow (double a, const ComplexMatrix& b) |
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1
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140 { |
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141 octave_value retval; |
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1
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142 |
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143 int nr = b.rows (); |
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144 int nc = b.columns (); |
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145 |
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146 if (nr == 0 || nc == 0 || nr != nc) |
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1567
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147 { |
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148 error ("for x^A, A must be square"); |
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149 } |
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1
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150 else |
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151 { |
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152 EIG b_eig (b); |
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153 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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154 ComplexMatrix Q (b_eig.eigenvectors ()); |
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155 |
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156 for (int i = 0; i < nr; i++) |
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157 { |
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158 Complex elt = lambda.elem (i); |
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159 if (imag (elt) == 0.0) |
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160 lambda.elem (i) = pow (a, real (elt)); |
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161 else |
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162 lambda.elem (i) = pow (a, elt); |
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163 } |
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164 ComplexDiagMatrix D (lambda); |
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165 |
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166 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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167 } |
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168 |
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169 return retval; |
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170 } |
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171 |
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767
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172 // -*- 5 -*- |
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173 octave_value |
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164
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174 xpow (const Matrix& a, double b) |
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1
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175 { |
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176 octave_value retval; |
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1
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177 |
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178 int nr = a.rows (); |
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179 int nc = a.columns (); |
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180 |
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181 if (nr == 0 || nc == 0 || nr != nc) |
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182 { |
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183 error ("for A^b, A must be square"); |
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184 } |
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185 else |
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1
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186 { |
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187 if ((int) b == b) |
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1
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188 { |
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189 int btmp = (int) b; |
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190 if (btmp == 0) |
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191 { |
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192 retval = DiagMatrix (nr, nr, 1.0); |
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193 } |
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194 else |
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195 { |
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196 // Too much copying? |
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197 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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198 // large... |
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199 |
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200 Matrix atmp; |
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201 if (btmp < 0) |
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202 { |
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203 btmp = -btmp; |
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204 |
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205 int info; |
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206 double rcond = 0.0; |
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207 |
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208 atmp = a.inverse (info, rcond, 1); |
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209 |
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210 if (info == -1) |
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211 warning ("inverse: matrix singular to machine\ |
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212 precision, rcond = %g", rcond); |
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213 } |
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214 else |
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215 atmp = a; |
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216 |
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217 Matrix result (atmp); |
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218 for (int i = 1; i < btmp; i++) |
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219 result = result * atmp; |
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220 |
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221 retval = result; |
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222 } |
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223 } |
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224 else |
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225 { |
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226 EIG a_eig (a); |
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227 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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228 ComplexMatrix Q (a_eig.eigenvectors ()); |
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229 |
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230 for (int i = 0; i < nr; i++) |
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231 lambda.elem (i) = pow (lambda.elem (i), b); |
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232 |
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233 ComplexDiagMatrix D (lambda); |
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234 |
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235 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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236 } |
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237 } |
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238 |
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239 return retval; |
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240 } |
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241 |
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1567
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242 // -*- 6 -*- |
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243 octave_value |
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244 xpow (const Matrix& a, const Complex& b) |
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245 { |
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246 octave_value retval; |
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1
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247 |
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248 int nr = a.rows (); |
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249 int nc = a.columns (); |
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250 |
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251 if (nr == 0 || nc == 0 || nr != nc) |
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252 { |
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253 error ("for A^b, A must be square"); |
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1
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254 } |
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255 else |
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256 { |
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257 EIG a_eig (a); |
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258 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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259 ComplexMatrix Q (a_eig.eigenvectors ()); |
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260 |
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261 for (int i = 0; i < nr; i++) |
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262 lambda.elem (i) = pow (lambda.elem (i), b); |
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263 |
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264 ComplexDiagMatrix D (lambda); |
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265 |
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266 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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267 } |
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268 |
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269 return retval; |
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270 } |
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271 |
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767
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272 // -*- 7 -*- |
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273 octave_value |
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164
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274 xpow (const Complex& a, double b) |
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1
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275 { |
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276 Complex result; |
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277 |
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278 if (xisint (b)) |
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279 result = pow (a, (int) b); |
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280 else |
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281 result = pow (a, b); |
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282 |
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283 return result; |
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1
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284 } |
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285 |
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767
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286 // -*- 8 -*- |
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2086
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287 octave_value |
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164
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288 xpow (const Complex& a, const Matrix& b) |
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1
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289 { |
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2086
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290 octave_value retval; |
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1
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291 |
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292 int nr = b.rows (); |
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293 int nc = b.columns (); |
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294 |
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295 if (nr == 0 || nc == 0 || nr != nc) |
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296 { |
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297 error ("for x^A, A must be square"); |
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298 } |
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299 else |
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300 { |
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301 EIG b_eig (b); |
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302 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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303 ComplexMatrix Q (b_eig.eigenvectors ()); |
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304 |
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305 for (int i = 0; i < nr; i++) |
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306 { |
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307 Complex elt = lambda.elem (i); |
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308 if (imag (elt) == 0.0) |
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309 lambda.elem (i) = pow (a, real (elt)); |
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310 else |
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311 lambda.elem (i) = pow (a, elt); |
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312 } |
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313 ComplexDiagMatrix D (lambda); |
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314 |
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315 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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316 } |
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317 |
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318 return retval; |
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319 } |
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320 |
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767
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321 // -*- 9 -*- |
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2086
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322 octave_value |
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164
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323 xpow (const Complex& a, const Complex& b) |
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1
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324 { |
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325 Complex result; |
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326 result = pow (a, b); |
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1567
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327 return result; |
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1
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328 } |
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329 |
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767
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330 // -*- 10 -*- |
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2086
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331 octave_value |
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164
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332 xpow (const Complex& a, const ComplexMatrix& b) |
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1
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333 { |
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2086
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334 octave_value retval; |
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1
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335 |
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336 int nr = b.rows (); |
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337 int nc = b.columns (); |
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338 |
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339 if (nr == 0 || nc == 0 || nr != nc) |
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1567
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340 { |
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341 error ("for x^A, A must be square"); |
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342 } |
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1
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343 else |
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344 { |
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345 EIG b_eig (b); |
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346 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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347 ComplexMatrix Q (b_eig.eigenvectors ()); |
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348 |
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349 for (int i = 0; i < nr; i++) |
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350 { |
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351 Complex elt = lambda.elem (i); |
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352 if (imag (elt) == 0.0) |
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353 lambda.elem (i) = pow (a, real (elt)); |
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354 else |
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355 lambda.elem (i) = pow (a, elt); |
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356 } |
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357 ComplexDiagMatrix D (lambda); |
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358 |
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1567
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359 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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360 } |
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361 |
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362 return retval; |
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363 } |
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364 |
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767
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365 // -*- 11 -*- |
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2086
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366 octave_value |
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164
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367 xpow (const ComplexMatrix& a, double b) |
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1
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368 { |
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2086
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369 octave_value retval; |
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1
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370 |
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371 int nr = a.rows (); |
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372 int nc = a.columns (); |
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373 |
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374 if (nr == 0 || nc == 0 || nr != nc) |
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375 { |
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376 error ("for A^b, A must be square"); |
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377 } |
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1567
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378 else |
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1
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379 { |
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1567
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380 if ((int) b == b) |
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1
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381 { |
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1567
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382 int btmp = (int) b; |
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383 if (btmp == 0) |
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384 { |
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385 retval = DiagMatrix (nr, nr, 1.0); |
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386 } |
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387 else |
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388 { |
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389 // Too much copying? |
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390 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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391 // large... |
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392 |
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393 ComplexMatrix atmp; |
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394 if (btmp < 0) |
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395 { |
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396 btmp = -btmp; |
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1655
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397 |
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398 int info; |
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399 double rcond = 0.0; |
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400 |
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1656
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401 atmp = a.inverse (info, rcond, 1); |
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1655
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402 |
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403 if (info == -1) |
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404 warning ("inverse: matrix singular to machine\ |
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405 precision, rcond = %g", rcond); |
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1567
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406 } |
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407 else |
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408 atmp = a; |
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409 |
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410 ComplexMatrix result (atmp); |
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411 for (int i = 1; i < btmp; i++) |
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412 result = result * atmp; |
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413 |
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414 retval = result; |
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415 } |
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1
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416 } |
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417 else |
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418 { |
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1567
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419 EIG a_eig (a); |
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420 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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421 ComplexMatrix Q (a_eig.eigenvectors ()); |
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422 |
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423 for (int i = 0; i < nr; i++) |
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424 lambda.elem (i) = pow (lambda.elem (i), b); |
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425 |
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426 ComplexDiagMatrix D (lambda); |
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427 |
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428 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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429 } |
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430 } |
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1358
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431 |
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1567
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432 return retval; |
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433 } |
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1
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434 |
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1567
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435 // -*- 12 -*- |
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2086
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436 octave_value |
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1567
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437 xpow (const ComplexMatrix& a, const Complex& b) |
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438 { |
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2086
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439 octave_value retval; |
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1
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440 |
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1567
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441 int nr = a.rows (); |
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442 int nc = a.columns (); |
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443 |
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444 if (nr == 0 || nc == 0 || nr != nc) |
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445 { |
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446 error ("for A^b, A must be square"); |
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1
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447 } |
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448 else |
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449 { |
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450 EIG a_eig (a); |
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451 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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452 ComplexMatrix Q (a_eig.eigenvectors ()); |
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453 |
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454 for (int i = 0; i < nr; i++) |
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455 lambda.elem (i) = pow (lambda.elem (i), b); |
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456 |
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457 ComplexDiagMatrix D (lambda); |
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458 |
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1567
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459 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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460 } |
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461 |
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462 return retval; |
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463 } |
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464 |
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767
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465 // Safer pow functions that work elementwise for matrices. |
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466 // |
|
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467 // op2 \ op1: s m cs cm |
|
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468 // +-- +---+---+----+----+ |
|
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469 // scalar | | * | 3 | * | 9 | |
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470 // +---+---+----+----+ |
|
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471 // matrix | 1 | 4 | 7 | 10 | |
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472 // +---+---+----+----+ |
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473 // complex_scalar | * | 5 | * | 11 | |
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474 // +---+---+----+----+ |
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475 // complex_matrix | 2 | 6 | 8 | 12 | |
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476 // +---+---+----+----+ |
|
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477 // |
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478 // * -> not needed. |
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1
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479 |
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767
|
480 // -*- 1 -*- |
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2086
|
481 octave_value |
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164
|
482 elem_xpow (double a, const Matrix& b) |
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1
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483 { |
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2086
|
484 octave_value retval; |
|
1
|
485 |
|
|
486 int nr = b.rows (); |
|
|
487 int nc = b.columns (); |
|
|
488 |
|
1358
|
489 // For now, assume the worst. |
|
|
490 |
|
1
|
491 if (a < 0.0) |
|
|
492 { |
|
|
493 Complex atmp (a); |
|
|
494 ComplexMatrix result (nr, nc); |
|
|
495 for (int j = 0; j < nc; j++) |
|
|
496 for (int i = 0; i < nr; i++) |
|
|
497 result.elem (i, j) = pow (atmp, b.elem (i, j)); |
|
|
498 |
|
1567
|
499 retval = result; |
|
1
|
500 } |
|
|
501 else |
|
|
502 { |
|
|
503 Matrix result (nr, nc); |
|
|
504 for (int j = 0; j < nc; j++) |
|
|
505 for (int i = 0; i < nr; i++) |
|
|
506 result.elem (i, j) = pow (a, b.elem (i, j)); |
|
|
507 |
|
1567
|
508 retval = result; |
|
1
|
509 } |
|
|
510 |
|
|
511 return retval; |
|
|
512 } |
|
|
513 |
|
767
|
514 // -*- 2 -*- |
|
2086
|
515 octave_value |
|
164
|
516 elem_xpow (double a, const ComplexMatrix& b) |
|
1
|
517 { |
|
|
518 int nr = b.rows (); |
|
|
519 int nc = b.columns (); |
|
|
520 |
|
|
521 ComplexMatrix result (nr, nc); |
|
|
522 for (int j = 0; j < nc; j++) |
|
|
523 for (int i = 0; i < nr; i++) |
|
|
524 result.elem (i, j) = pow (a, b.elem (i, j)); |
|
|
525 |
|
1567
|
526 return result; |
|
1
|
527 } |
|
|
528 |
|
767
|
529 // -*- 3 -*- |
|
2086
|
530 octave_value |
|
164
|
531 elem_xpow (const Matrix& a, double b) |
|
1
|
532 { |
|
2086
|
533 octave_value retval; |
|
1
|
534 |
|
|
535 int nr = a.rows (); |
|
|
536 int nc = a.columns (); |
|
|
537 |
|
|
538 if ((int) b != b && any_element_is_negative (a)) |
|
|
539 { |
|
|
540 ComplexMatrix result (nr, nc); |
|
|
541 for (int j = 0; j < nc; j++) |
|
|
542 for (int i = 0; i < nr; i++) |
|
|
543 { |
|
|
544 Complex atmp (a.elem (i, j)); |
|
|
545 result.elem (i, j) = pow (atmp, b); |
|
|
546 } |
|
|
547 |
|
1567
|
548 retval = result; |
|
1
|
549 } |
|
|
550 else |
|
|
551 { |
|
|
552 Matrix result (nr, nc); |
|
|
553 for (int j = 0; j < nc; j++) |
|
|
554 for (int i = 0; i < nr; i++) |
|
|
555 result.elem (i, j) = pow (a.elem (i, j), b); |
|
|
556 |
|
1567
|
557 retval = result; |
|
1
|
558 } |
|
|
559 |
|
|
560 return retval; |
|
|
561 } |
|
|
562 |
|
767
|
563 // -*- 4 -*- |
|
2086
|
564 octave_value |
|
164
|
565 elem_xpow (const Matrix& a, const Matrix& b) |
|
1
|
566 { |
|
2086
|
567 octave_value retval; |
|
1567
|
568 |
|
1
|
569 int nr = a.rows (); |
|
|
570 int nc = a.columns (); |
|
|
571 |
|
|
572 assert (nr == b.rows () && nc == b.columns ()); |
|
|
573 |
|
|
574 int convert_to_complex = 0; |
|
|
575 for (int j = 0; j < nc; j++) |
|
1321
|
576 for (int i = 0; i < nr; i++) |
|
1
|
577 { |
|
|
578 double atmp = a.elem (i, j); |
|
|
579 double btmp = b.elem (i, j); |
|
|
580 if (atmp < 0.0 && (int) btmp != btmp) |
|
|
581 { |
|
|
582 convert_to_complex = 1; |
|
|
583 goto done; |
|
|
584 } |
|
|
585 } |
|
|
586 |
|
|
587 done: |
|
|
588 |
|
|
589 if (convert_to_complex) |
|
|
590 { |
|
|
591 ComplexMatrix complex_result (nr, nc); |
|
|
592 |
|
1321
|
593 for (int j = 0; j < nc; j++) |
|
|
594 for (int i = 0; i < nr; i++) |
|
1
|
595 { |
|
|
596 Complex atmp (a.elem (i, j)); |
|
|
597 Complex btmp (b.elem (i, j)); |
|
|
598 complex_result.elem (i, j) = pow (atmp, btmp); |
|
|
599 } |
|
1567
|
600 |
|
|
601 retval = complex_result; |
|
1
|
602 } |
|
|
603 else |
|
|
604 { |
|
|
605 Matrix result (nr, nc); |
|
|
606 |
|
1321
|
607 for (int j = 0; j < nc; j++) |
|
|
608 for (int i = 0; i < nr; i++) |
|
1
|
609 result.elem (i, j) = pow (a.elem (i, j), b.elem (i, j)); |
|
|
610 |
|
1567
|
611 retval = result; |
|
1
|
612 } |
|
1567
|
613 |
|
|
614 return retval; |
|
1
|
615 } |
|
|
616 |
|
767
|
617 // -*- 5 -*- |
|
2086
|
618 octave_value |
|
164
|
619 elem_xpow (const Matrix& a, const Complex& b) |
|
1
|
620 { |
|
|
621 int nr = a.rows (); |
|
|
622 int nc = a.columns (); |
|
|
623 |
|
|
624 ComplexMatrix result (nr, nc); |
|
|
625 for (int j = 0; j < nc; j++) |
|
|
626 for (int i = 0; i < nr; i++) |
|
|
627 result.elem (i, j) = pow (a.elem (i, j), b); |
|
|
628 |
|
1567
|
629 return result; |
|
1
|
630 } |
|
|
631 |
|
767
|
632 // -*- 6 -*- |
|
2086
|
633 octave_value |
|
164
|
634 elem_xpow (const Matrix& a, const ComplexMatrix& b) |
|
1
|
635 { |
|
|
636 int nr = a.rows (); |
|
|
637 int nc = a.columns (); |
|
|
638 |
|
|
639 assert (nr == b.rows () && nc == b.columns ()); |
|
|
640 |
|
|
641 ComplexMatrix result (nr, nc); |
|
|
642 for (int j = 0; j < nc; j++) |
|
|
643 for (int i = 0; i < nr; i++) |
|
|
644 result.elem (i, j) = pow (a.elem (i, j), b.elem (i, j)); |
|
|
645 |
|
1567
|
646 return result; |
|
1
|
647 } |
|
|
648 |
|
767
|
649 // -*- 7 -*- |
|
2086
|
650 octave_value |
|
164
|
651 elem_xpow (const Complex& a, const Matrix& b) |
|
1
|
652 { |
|
|
653 int nr = b.rows (); |
|
|
654 int nc = b.columns (); |
|
|
655 |
|
|
656 ComplexMatrix result (nr, nc); |
|
|
657 for (int j = 0; j < nc; j++) |
|
|
658 for (int i = 0; i < nr; i++) |
|
1567
|
659 { |
|
|
660 double btmp = b.elem (i, j); |
|
|
661 if (xisint (btmp)) |
|
|
662 result.elem (i, j) = pow (a, (int) btmp); |
|
|
663 else |
|
|
664 result.elem (i, j) = pow (a, btmp); |
|
|
665 } |
|
1
|
666 |
|
1567
|
667 return result; |
|
1
|
668 } |
|
|
669 |
|
767
|
670 // -*- 8 -*- |
|
2086
|
671 octave_value |
|
164
|
672 elem_xpow (const Complex& a, const ComplexMatrix& b) |
|
1
|
673 { |
|
|
674 int nr = b.rows (); |
|
|
675 int nc = b.columns (); |
|
|
676 |
|
|
677 ComplexMatrix result (nr, nc); |
|
|
678 for (int j = 0; j < nc; j++) |
|
|
679 for (int i = 0; i < nr; i++) |
|
|
680 result.elem (i, j) = pow (a, b.elem (i, j)); |
|
|
681 |
|
1567
|
682 return result; |
|
1
|
683 } |
|
|
684 |
|
767
|
685 // -*- 9 -*- |
|
2086
|
686 octave_value |
|
164
|
687 elem_xpow (const ComplexMatrix& a, double b) |
|
1
|
688 { |
|
|
689 int nr = a.rows (); |
|
|
690 int nc = a.columns (); |
|
|
691 |
|
|
692 ComplexMatrix result (nr, nc); |
|
|
693 |
|
1567
|
694 if (xisint (b)) |
|
|
695 { |
|
|
696 for (int j = 0; j < nc; j++) |
|
|
697 for (int i = 0; i < nr; i++) |
|
|
698 result.elem (i, j) = pow (a.elem (i, j), (int) b); |
|
|
699 } |
|
|
700 else |
|
|
701 { |
|
|
702 for (int j = 0; j < nc; j++) |
|
|
703 for (int i = 0; i < nr; i++) |
|
|
704 result.elem (i, j) = pow (a.elem (i, j), b); |
|
|
705 } |
|
|
706 |
|
|
707 return result; |
|
1
|
708 } |
|
|
709 |
|
767
|
710 // -*- 10 -*- |
|
2086
|
711 octave_value |
|
164
|
712 elem_xpow (const ComplexMatrix& a, const Matrix& b) |
|
1
|
713 { |
|
|
714 int nr = a.rows (); |
|
|
715 int nc = a.columns (); |
|
|
716 |
|
|
717 assert (nr == b.rows () && nc == b.columns ()); |
|
|
718 |
|
|
719 ComplexMatrix result (nr, nc); |
|
|
720 for (int j = 0; j < nc; j++) |
|
|
721 for (int i = 0; i < nr; i++) |
|
1567
|
722 { |
|
|
723 double btmp = b.elem (i, j); |
|
|
724 if (xisint (btmp)) |
|
|
725 result.elem (i, j) = pow (a.elem (i, j), (int) btmp); |
|
|
726 else |
|
|
727 result.elem (i, j) = pow (a.elem (i, j), btmp); |
|
|
728 } |
|
1
|
729 |
|
1567
|
730 return result; |
|
1
|
731 } |
|
|
732 |
|
767
|
733 // -*- 11 -*- |
|
2086
|
734 octave_value |
|
164
|
735 elem_xpow (const ComplexMatrix& a, const Complex& b) |
|
1
|
736 { |
|
|
737 int nr = a.rows (); |
|
|
738 int nc = a.columns (); |
|
|
739 |
|
|
740 ComplexMatrix result (nr, nc); |
|
|
741 for (int j = 0; j < nc; j++) |
|
|
742 for (int i = 0; i < nr; i++) |
|
|
743 result.elem (i, j) = pow (a.elem (i, j), b); |
|
|
744 |
|
1567
|
745 return result; |
|
1
|
746 } |
|
|
747 |
|
767
|
748 // -*- 12 -*- |
|
2086
|
749 octave_value |
|
164
|
750 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b) |
|
1
|
751 { |
|
|
752 int nr = a.rows (); |
|
|
753 int nc = a.columns (); |
|
|
754 |
|
|
755 ComplexMatrix result (nr, nc); |
|
|
756 |
|
|
757 for (int j = 0; j < nc; j++) |
|
|
758 for (int i = 0; i < nr; i++) |
|
|
759 result.elem (i, j) = pow (a.elem (i, j), b.elem (i, j)); |
|
|
760 |
|
1567
|
761 return result; |
|
1
|
762 } |
|
|
763 |
|
|
764 /* |
|
|
765 ;;; Local Variables: *** |
|
|
766 ;;; mode: C++ *** |
|
|
767 ;;; End: *** |
|
|
768 */ |
