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1 /* |
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2 |
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2847
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3 Copyright (C) 1996, 1997 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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1315
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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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3585
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36 #include "mx-cm-cdm.h" |
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1651
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37 #include "oct-cmplx.h" |
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1352
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38 |
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39 #include "error.h" |
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4055
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40 #include "oct-obj.h" |
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1567
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41 #include "utils.h" |
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1352
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42 #include "xpow.h" |
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1
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43 |
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1567
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44 static inline int |
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45 xisint (double x) |
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46 { |
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47 return (D_NINT (x) == x |
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48 && ((x >= 0 && x < INT_MAX) |
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49 || (x <= 0 && x > INT_MIN))); |
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50 } |
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51 |
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767
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52 // Safer pow functions. |
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53 // |
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54 // op2 \ op1: s m cs cm |
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55 // +-- +---+---+----+----+ |
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56 // scalar | | 1 | 5 | 7 | 11 | |
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57 // +---+---+----+----+ |
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2365
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58 // matrix | 2 | * | 8 | * | |
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767
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59 // +---+---+----+----+ |
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60 // complex_scalar | 3 | 6 | 9 | 12 | |
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61 // +---+---+----+----+ |
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2365
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62 // complex_matrix | 4 | * | 10 | * | |
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767
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63 // +---+---+----+----+ |
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1
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64 |
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767
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65 // -*- 1 -*- |
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2086
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66 octave_value |
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1
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67 xpow (double a, double b) |
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68 { |
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2800
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69 if (a < 0.0 && static_cast<int> (b) != b) |
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1
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70 { |
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71 Complex atmp (a); |
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1567
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72 return pow (atmp, b); |
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1
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73 } |
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74 else |
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1567
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75 return pow (a, b); |
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1
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76 } |
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77 |
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767
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78 // -*- 2 -*- |
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2086
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79 octave_value |
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164
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80 xpow (double a, const Matrix& b) |
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1
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81 { |
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2086
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82 octave_value retval; |
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1
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83 |
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84 int nr = b.rows (); |
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2365
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85 int nc = b.cols (); |
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1
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86 |
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87 if (nr == 0 || nc == 0 || nr != nc) |
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88 error ("for x^A, A must be square"); |
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89 else |
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90 { |
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91 EIG b_eig (b); |
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92 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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93 ComplexMatrix Q (b_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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2305
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97 Complex elt = lambda (i); |
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1
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98 if (imag (elt) == 0.0) |
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2305
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99 lambda (i) = pow (a, real (elt)); |
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1
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100 else |
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2305
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101 lambda (i) = pow (a, elt); |
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1
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102 } |
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103 ComplexDiagMatrix D (lambda); |
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104 |
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1567
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105 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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106 } |
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107 |
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108 return retval; |
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109 } |
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110 |
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767
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111 // -*- 3 -*- |
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2086
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112 octave_value |
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164
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113 xpow (double a, const Complex& b) |
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1
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114 { |
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115 Complex result; |
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116 Complex atmp (a); |
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117 result = pow (atmp, b); |
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118 return result; |
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1
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119 } |
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120 |
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767
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121 // -*- 4 -*- |
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2086
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122 octave_value |
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164
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123 xpow (double a, const ComplexMatrix& b) |
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1
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124 { |
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2086
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125 octave_value retval; |
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1
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126 |
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127 int nr = b.rows (); |
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2365
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128 int nc = b.cols (); |
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1
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129 |
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130 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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131 error ("for x^A, A must be square"); |
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1
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132 else |
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133 { |
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134 EIG b_eig (b); |
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135 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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136 ComplexMatrix Q (b_eig.eigenvectors ()); |
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137 |
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138 for (int i = 0; i < nr; i++) |
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139 { |
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2305
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140 Complex elt = lambda (i); |
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1
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141 if (imag (elt) == 0.0) |
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2305
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142 lambda (i) = pow (a, real (elt)); |
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1
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143 else |
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2305
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144 lambda (i) = pow (a, elt); |
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1
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145 } |
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146 ComplexDiagMatrix D (lambda); |
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147 |
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1567
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148 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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149 } |
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150 |
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151 return retval; |
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152 } |
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153 |
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767
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154 // -*- 5 -*- |
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2086
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155 octave_value |
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164
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156 xpow (const Matrix& a, double b) |
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1
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157 { |
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2086
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158 octave_value retval; |
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1
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159 |
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160 int nr = a.rows (); |
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2365
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161 int nc = a.cols (); |
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1
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162 |
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163 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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164 error ("for A^b, A must be square"); |
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1567
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165 else |
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1
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166 { |
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2800
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167 if (static_cast<int> (b) == b) |
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1
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168 { |
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2804
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169 int btmp = static_cast<int> (b); |
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1567
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170 if (btmp == 0) |
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171 { |
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172 retval = DiagMatrix (nr, nr, 1.0); |
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173 } |
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174 else |
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175 { |
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176 // Too much copying? |
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177 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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178 // large... |
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179 |
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180 Matrix atmp; |
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181 if (btmp < 0) |
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182 { |
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183 btmp = -btmp; |
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1655
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184 |
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185 int info; |
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186 double rcond = 0.0; |
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187 |
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188 atmp = a.inverse (info, rcond, 1); |
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189 |
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190 if (info == -1) |
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191 warning ("inverse: matrix singular to machine\ |
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192 precision, rcond = %g", rcond); |
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1567
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193 } |
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194 else |
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195 atmp = a; |
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196 |
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197 Matrix result (atmp); |
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3178
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198 |
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199 btmp--; |
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200 |
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201 while (btmp > 0) |
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202 { |
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203 if (btmp & 1) |
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204 result = result * atmp; |
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205 |
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206 btmp >>= 1; |
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207 |
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208 if (btmp > 0) |
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209 atmp = atmp * atmp; |
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210 } |
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211 |
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212 retval = result; |
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213 } |
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1
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214 } |
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215 else |
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216 { |
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1567
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217 EIG a_eig (a); |
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218 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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219 ComplexMatrix Q (a_eig.eigenvectors ()); |
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220 |
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221 for (int i = 0; i < nr; i++) |
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222 lambda (i) = pow (lambda (i), b); |
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223 |
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224 ComplexDiagMatrix D (lambda); |
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225 |
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226 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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227 } |
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228 } |
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229 |
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1567
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230 return retval; |
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231 } |
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1
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232 |
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1567
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233 // -*- 6 -*- |
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2086
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234 octave_value |
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1567
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235 xpow (const Matrix& a, const Complex& b) |
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236 { |
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2086
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237 octave_value retval; |
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1
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238 |
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1567
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239 int nr = a.rows (); |
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2365
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240 int nc = a.cols (); |
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1567
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241 |
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242 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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243 error ("for A^b, A must be square"); |
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1
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244 else |
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245 { |
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246 EIG a_eig (a); |
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247 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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248 ComplexMatrix Q (a_eig.eigenvectors ()); |
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249 |
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250 for (int i = 0; i < nr; i++) |
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2305
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251 lambda (i) = pow (lambda (i), b); |
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1
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252 |
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253 ComplexDiagMatrix D (lambda); |
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254 |
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1567
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255 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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256 } |
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257 |
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258 return retval; |
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259 } |
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260 |
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767
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261 // -*- 7 -*- |
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2086
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262 octave_value |
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164
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263 xpow (const Complex& a, double b) |
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1
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264 { |
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265 Complex result; |
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1567
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266 |
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267 if (xisint (b)) |
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2800
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268 result = pow (a, static_cast<int> (b)); |
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1567
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269 else |
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270 result = pow (a, b); |
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271 |
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272 return result; |
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1
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273 } |
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274 |
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767
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275 // -*- 8 -*- |
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2086
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276 octave_value |
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164
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277 xpow (const Complex& a, const Matrix& b) |
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1
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278 { |
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2086
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279 octave_value retval; |
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1
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280 |
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281 int nr = b.rows (); |
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2365
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282 int nc = b.cols (); |
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1
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283 |
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284 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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285 error ("for x^A, A must be square"); |
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1
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286 else |
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287 { |
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288 EIG b_eig (b); |
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289 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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290 ComplexMatrix Q (b_eig.eigenvectors ()); |
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291 |
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292 for (int i = 0; i < nr; i++) |
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293 { |
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2305
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294 Complex elt = lambda (i); |
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1
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295 if (imag (elt) == 0.0) |
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2305
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296 lambda (i) = pow (a, real (elt)); |
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1
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297 else |
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2305
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298 lambda (i) = pow (a, elt); |
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1
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299 } |
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300 ComplexDiagMatrix D (lambda); |
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301 |
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1567
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302 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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303 } |
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304 |
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305 return retval; |
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306 } |
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307 |
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767
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308 // -*- 9 -*- |
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2086
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309 octave_value |
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164
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310 xpow (const Complex& a, const Complex& b) |
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1
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311 { |
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312 Complex result; |
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313 result = pow (a, b); |
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1567
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314 return result; |
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1
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315 } |
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316 |
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767
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317 // -*- 10 -*- |
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2086
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318 octave_value |
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164
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319 xpow (const Complex& a, const ComplexMatrix& b) |
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1
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320 { |
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2086
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321 octave_value retval; |
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1
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322 |
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323 int nr = b.rows (); |
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2365
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324 int nc = b.cols (); |
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1
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325 |
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326 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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327 error ("for x^A, A must be square"); |
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1
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328 else |
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329 { |
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330 EIG b_eig (b); |
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331 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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332 ComplexMatrix Q (b_eig.eigenvectors ()); |
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333 |
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334 for (int i = 0; i < nr; i++) |
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335 { |
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2305
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336 Complex elt = lambda (i); |
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1
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337 if (imag (elt) == 0.0) |
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2305
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338 lambda (i) = pow (a, real (elt)); |
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1
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339 else |
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2305
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340 lambda (i) = pow (a, elt); |
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1
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341 } |
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342 ComplexDiagMatrix D (lambda); |
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343 |
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1567
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344 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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345 } |
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346 |
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347 return retval; |
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348 } |
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349 |
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767
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350 // -*- 11 -*- |
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2086
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351 octave_value |
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164
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352 xpow (const ComplexMatrix& a, double b) |
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1
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353 { |
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2086
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354 octave_value retval; |
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1
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355 |
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356 int nr = a.rows (); |
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2365
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357 int nc = a.cols (); |
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1
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358 |
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359 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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360 error ("for A^b, A must be square"); |
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1567
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361 else |
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1
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362 { |
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2800
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363 if (static_cast<int> (b) == b) |
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1
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364 { |
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2804
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365 int btmp = static_cast<int> (b); |
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1567
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366 if (btmp == 0) |
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367 { |
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368 retval = DiagMatrix (nr, nr, 1.0); |
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369 } |
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370 else |
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371 { |
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372 // Too much copying? |
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373 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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374 // large... |
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375 |
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376 ComplexMatrix atmp; |
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377 if (btmp < 0) |
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378 { |
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379 btmp = -btmp; |
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1655
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380 |
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381 int info; |
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382 double rcond = 0.0; |
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383 |
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1656
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384 atmp = a.inverse (info, rcond, 1); |
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1655
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385 |
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386 if (info == -1) |
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387 warning ("inverse: matrix singular to machine\ |
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388 precision, rcond = %g", rcond); |
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1567
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389 } |
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390 else |
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391 atmp = a; |
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392 |
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393 ComplexMatrix result (atmp); |
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3178
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394 |
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395 btmp--; |
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396 |
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397 while (btmp > 0) |
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398 { |
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399 if (btmp & 1) |
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400 result = result * atmp; |
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401 |
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402 btmp >>= 1; |
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403 |
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404 if (btmp > 0) |
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405 atmp = atmp * atmp; |
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406 } |
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1567
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407 |
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408 retval = result; |
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409 } |
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1
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410 } |
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411 else |
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412 { |
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1567
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413 EIG a_eig (a); |
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414 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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415 ComplexMatrix Q (a_eig.eigenvectors ()); |
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416 |
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417 for (int i = 0; i < nr; i++) |
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2305
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418 lambda (i) = pow (lambda (i), b); |
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1567
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419 |
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420 ComplexDiagMatrix D (lambda); |
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421 |
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422 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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423 } |
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424 } |
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1358
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425 |
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1567
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426 return retval; |
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427 } |
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1
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428 |
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1567
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429 // -*- 12 -*- |
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2086
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430 octave_value |
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1567
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431 xpow (const ComplexMatrix& a, const Complex& b) |
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432 { |
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2086
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433 octave_value retval; |
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1
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434 |
|
1567
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435 int nr = a.rows (); |
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2365
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436 int nc = a.cols (); |
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1567
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437 |
|
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438 if (nr == 0 || nc == 0 || nr != nc) |
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2365
|
439 error ("for A^b, A must be square"); |
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1
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440 else |
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441 { |
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442 EIG a_eig (a); |
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443 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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444 ComplexMatrix Q (a_eig.eigenvectors ()); |
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445 |
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446 for (int i = 0; i < nr; i++) |
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2305
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447 lambda (i) = pow (lambda (i), b); |
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1
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448 |
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449 ComplexDiagMatrix D (lambda); |
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450 |
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1567
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451 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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452 } |
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453 |
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454 return retval; |
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455 } |
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456 |
|
767
|
457 // Safer pow functions that work elementwise for matrices. |
|
|
458 // |
|
|
459 // op2 \ op1: s m cs cm |
|
|
460 // +-- +---+---+----+----+ |
|
|
461 // scalar | | * | 3 | * | 9 | |
|
|
462 // +---+---+----+----+ |
|
|
463 // matrix | 1 | 4 | 7 | 10 | |
|
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464 // +---+---+----+----+ |
|
|
465 // complex_scalar | * | 5 | * | 11 | |
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|
466 // +---+---+----+----+ |
|
|
467 // complex_matrix | 2 | 6 | 8 | 12 | |
|
|
468 // +---+---+----+----+ |
|
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469 // |
|
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470 // * -> not needed. |
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1
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471 |
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3162
|
472 // XXX FIXME XXX -- these functions need to be fixed so that things |
|
|
473 // like |
|
|
474 // |
|
|
475 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b |
|
|
476 // |
|
|
477 // and |
|
|
478 // |
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|
479 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end |
|
|
480 // |
|
|
481 // produce identical results. Also, it would be nice if -1^0.5 |
|
|
482 // produced a pure imaginary result instead of a complex number with a |
|
|
483 // small real part. But perhaps that's really a problem with the math |
|
|
484 // library... |
|
|
485 |
|
767
|
486 // -*- 1 -*- |
|
2086
|
487 octave_value |
|
164
|
488 elem_xpow (double a, const Matrix& b) |
|
1
|
489 { |
|
2086
|
490 octave_value retval; |
|
1
|
491 |
|
|
492 int nr = b.rows (); |
|
2365
|
493 int nc = b.cols (); |
|
1
|
494 |
|
3162
|
495 double d1, d2; |
|
1358
|
496 |
|
3162
|
497 if (a < 0.0 && ! b.all_integers (d1, d2)) |
|
1
|
498 { |
|
|
499 Complex atmp (a); |
|
|
500 ComplexMatrix result (nr, nc); |
|
|
501 for (int j = 0; j < nc; j++) |
|
|
502 for (int i = 0; i < nr; i++) |
|
2305
|
503 result (i, j) = pow (atmp, b (i, j)); |
|
1
|
504 |
|
1567
|
505 retval = result; |
|
1
|
506 } |
|
|
507 else |
|
|
508 { |
|
|
509 Matrix result (nr, nc); |
|
|
510 for (int j = 0; j < nc; j++) |
|
|
511 for (int i = 0; i < nr; i++) |
|
2305
|
512 result (i, j) = pow (a, b (i, j)); |
|
1
|
513 |
|
1567
|
514 retval = result; |
|
1
|
515 } |
|
|
516 |
|
|
517 return retval; |
|
|
518 } |
|
|
519 |
|
767
|
520 // -*- 2 -*- |
|
2086
|
521 octave_value |
|
164
|
522 elem_xpow (double a, const ComplexMatrix& b) |
|
1
|
523 { |
|
|
524 int nr = b.rows (); |
|
2365
|
525 int nc = b.cols (); |
|
1
|
526 |
|
|
527 ComplexMatrix result (nr, nc); |
|
3125
|
528 Complex atmp (a); |
|
1
|
529 for (int j = 0; j < nc; j++) |
|
|
530 for (int i = 0; i < nr; i++) |
|
3125
|
531 result (i, j) = pow (atmp, b (i, j)); |
|
1
|
532 |
|
1567
|
533 return result; |
|
1
|
534 } |
|
|
535 |
|
767
|
536 // -*- 3 -*- |
|
2086
|
537 octave_value |
|
164
|
538 elem_xpow (const Matrix& a, double b) |
|
1
|
539 { |
|
2086
|
540 octave_value retval; |
|
1
|
541 |
|
|
542 int nr = a.rows (); |
|
2365
|
543 int nc = a.cols (); |
|
1
|
544 |
|
2800
|
545 if (static_cast<int> (b) != b && a.any_element_is_negative ()) |
|
1
|
546 { |
|
|
547 ComplexMatrix result (nr, nc); |
|
|
548 for (int j = 0; j < nc; j++) |
|
|
549 for (int i = 0; i < nr; i++) |
|
|
550 { |
|
2305
|
551 Complex atmp (a (i, j)); |
|
|
552 result (i, j) = pow (atmp, b); |
|
1
|
553 } |
|
|
554 |
|
1567
|
555 retval = result; |
|
1
|
556 } |
|
|
557 else |
|
|
558 { |
|
|
559 Matrix result (nr, nc); |
|
|
560 for (int j = 0; j < nc; j++) |
|
|
561 for (int i = 0; i < nr; i++) |
|
2305
|
562 result (i, j) = pow (a (i, j), b); |
|
1
|
563 |
|
1567
|
564 retval = result; |
|
1
|
565 } |
|
|
566 |
|
|
567 return retval; |
|
|
568 } |
|
|
569 |
|
767
|
570 // -*- 4 -*- |
|
2086
|
571 octave_value |
|
164
|
572 elem_xpow (const Matrix& a, const Matrix& b) |
|
1
|
573 { |
|
2086
|
574 octave_value retval; |
|
1567
|
575 |
|
1
|
576 int nr = a.rows (); |
|
2365
|
577 int nc = a.cols (); |
|
|
578 |
|
|
579 int b_nr = b.rows (); |
|
|
580 int b_nc = b.cols (); |
|
1
|
581 |
|
2365
|
582 if (nr != b_nr || nc != b_nc) |
|
|
583 { |
|
|
584 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
585 return octave_value (); |
|
|
586 } |
|
1
|
587 |
|
|
588 int convert_to_complex = 0; |
|
|
589 for (int j = 0; j < nc; j++) |
|
1321
|
590 for (int i = 0; i < nr; i++) |
|
1
|
591 { |
|
2305
|
592 double atmp = a (i, j); |
|
|
593 double btmp = b (i, j); |
|
2800
|
594 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
|
1
|
595 { |
|
|
596 convert_to_complex = 1; |
|
|
597 goto done; |
|
|
598 } |
|
|
599 } |
|
|
600 |
|
2365
|
601 done: |
|
1
|
602 |
|
|
603 if (convert_to_complex) |
|
|
604 { |
|
|
605 ComplexMatrix complex_result (nr, nc); |
|
|
606 |
|
1321
|
607 for (int j = 0; j < nc; j++) |
|
|
608 for (int i = 0; i < nr; i++) |
|
1
|
609 { |
|
2305
|
610 Complex atmp (a (i, j)); |
|
|
611 Complex btmp (b (i, j)); |
|
|
612 complex_result (i, j) = pow (atmp, btmp); |
|
1
|
613 } |
|
1567
|
614 |
|
|
615 retval = complex_result; |
|
1
|
616 } |
|
|
617 else |
|
|
618 { |
|
|
619 Matrix result (nr, nc); |
|
|
620 |
|
1321
|
621 for (int j = 0; j < nc; j++) |
|
|
622 for (int i = 0; i < nr; i++) |
|
2305
|
623 result (i, j) = pow (a (i, j), b (i, j)); |
|
1
|
624 |
|
1567
|
625 retval = result; |
|
1
|
626 } |
|
1567
|
627 |
|
|
628 return retval; |
|
1
|
629 } |
|
|
630 |
|
767
|
631 // -*- 5 -*- |
|
2086
|
632 octave_value |
|
164
|
633 elem_xpow (const Matrix& a, const Complex& b) |
|
1
|
634 { |
|
|
635 int nr = a.rows (); |
|
2365
|
636 int nc = a.cols (); |
|
1
|
637 |
|
|
638 ComplexMatrix result (nr, nc); |
|
|
639 for (int j = 0; j < nc; j++) |
|
|
640 for (int i = 0; i < nr; i++) |
|
3125
|
641 result (i, j) = pow (Complex (a (i, j)), b); |
|
1
|
642 |
|
1567
|
643 return result; |
|
1
|
644 } |
|
|
645 |
|
767
|
646 // -*- 6 -*- |
|
2086
|
647 octave_value |
|
164
|
648 elem_xpow (const Matrix& a, const ComplexMatrix& b) |
|
1
|
649 { |
|
|
650 int nr = a.rows (); |
|
2365
|
651 int nc = a.cols (); |
|
|
652 |
|
|
653 int b_nr = b.rows (); |
|
|
654 int b_nc = b.cols (); |
|
1
|
655 |
|
2365
|
656 if (nr != b_nr || nc != b_nc) |
|
|
657 { |
|
|
658 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
659 return octave_value (); |
|
|
660 } |
|
1
|
661 |
|
|
662 ComplexMatrix result (nr, nc); |
|
|
663 for (int j = 0; j < nc; j++) |
|
|
664 for (int i = 0; i < nr; i++) |
|
3125
|
665 result (i, j) = pow (Complex (a (i, j)), b (i, j)); |
|
1
|
666 |
|
1567
|
667 return result; |
|
1
|
668 } |
|
|
669 |
|
767
|
670 // -*- 7 -*- |
|
2086
|
671 octave_value |
|
164
|
672 elem_xpow (const Complex& a, const Matrix& b) |
|
1
|
673 { |
|
|
674 int nr = b.rows (); |
|
2365
|
675 int nc = b.cols (); |
|
1
|
676 |
|
|
677 ComplexMatrix result (nr, nc); |
|
|
678 for (int j = 0; j < nc; j++) |
|
|
679 for (int i = 0; i < nr; i++) |
|
1567
|
680 { |
|
2305
|
681 double btmp = b (i, j); |
|
1567
|
682 if (xisint (btmp)) |
|
2800
|
683 result (i, j) = pow (a, static_cast<int> (btmp)); |
|
1567
|
684 else |
|
2305
|
685 result (i, j) = pow (a, btmp); |
|
1567
|
686 } |
|
1
|
687 |
|
1567
|
688 return result; |
|
1
|
689 } |
|
|
690 |
|
767
|
691 // -*- 8 -*- |
|
2086
|
692 octave_value |
|
164
|
693 elem_xpow (const Complex& a, const ComplexMatrix& b) |
|
1
|
694 { |
|
|
695 int nr = b.rows (); |
|
2365
|
696 int nc = b.cols (); |
|
1
|
697 |
|
|
698 ComplexMatrix result (nr, nc); |
|
|
699 for (int j = 0; j < nc; j++) |
|
|
700 for (int i = 0; i < nr; i++) |
|
2305
|
701 result (i, j) = pow (a, b (i, j)); |
|
1
|
702 |
|
1567
|
703 return result; |
|
1
|
704 } |
|
|
705 |
|
767
|
706 // -*- 9 -*- |
|
2086
|
707 octave_value |
|
164
|
708 elem_xpow (const ComplexMatrix& a, double b) |
|
1
|
709 { |
|
|
710 int nr = a.rows (); |
|
2365
|
711 int nc = a.cols (); |
|
1
|
712 |
|
|
713 ComplexMatrix result (nr, nc); |
|
|
714 |
|
1567
|
715 if (xisint (b)) |
|
|
716 { |
|
|
717 for (int j = 0; j < nc; j++) |
|
|
718 for (int i = 0; i < nr; i++) |
|
2800
|
719 result (i, j) = pow (a (i, j), static_cast<int> (b)); |
|
1567
|
720 } |
|
|
721 else |
|
|
722 { |
|
|
723 for (int j = 0; j < nc; j++) |
|
|
724 for (int i = 0; i < nr; i++) |
|
2305
|
725 result (i, j) = pow (a (i, j), b); |
|
1567
|
726 } |
|
|
727 |
|
|
728 return result; |
|
1
|
729 } |
|
|
730 |
|
767
|
731 // -*- 10 -*- |
|
2086
|
732 octave_value |
|
164
|
733 elem_xpow (const ComplexMatrix& a, const Matrix& b) |
|
1
|
734 { |
|
|
735 int nr = a.rows (); |
|
2365
|
736 int nc = a.cols (); |
|
|
737 |
|
|
738 int b_nr = b.rows (); |
|
|
739 int b_nc = b.cols (); |
|
1
|
740 |
|
2365
|
741 if (nr != b_nr || nc != b_nc) |
|
|
742 { |
|
|
743 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
744 return octave_value (); |
|
|
745 } |
|
1
|
746 |
|
|
747 ComplexMatrix result (nr, nc); |
|
|
748 for (int j = 0; j < nc; j++) |
|
|
749 for (int i = 0; i < nr; i++) |
|
1567
|
750 { |
|
2305
|
751 double btmp = b (i, j); |
|
1567
|
752 if (xisint (btmp)) |
|
2800
|
753 result (i, j) = pow (a (i, j), static_cast<int> (btmp)); |
|
1567
|
754 else |
|
2305
|
755 result (i, j) = pow (a (i, j), btmp); |
|
1567
|
756 } |
|
1
|
757 |
|
1567
|
758 return result; |
|
1
|
759 } |
|
|
760 |
|
767
|
761 // -*- 11 -*- |
|
2086
|
762 octave_value |
|
164
|
763 elem_xpow (const ComplexMatrix& a, const Complex& b) |
|
1
|
764 { |
|
|
765 int nr = a.rows (); |
|
2365
|
766 int nc = a.cols (); |
|
1
|
767 |
|
|
768 ComplexMatrix result (nr, nc); |
|
|
769 for (int j = 0; j < nc; j++) |
|
|
770 for (int i = 0; i < nr; i++) |
|
2305
|
771 result (i, j) = pow (a (i, j), b); |
|
1
|
772 |
|
1567
|
773 return result; |
|
1
|
774 } |
|
|
775 |
|
767
|
776 // -*- 12 -*- |
|
2086
|
777 octave_value |
|
164
|
778 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b) |
|
1
|
779 { |
|
|
780 int nr = a.rows (); |
|
2365
|
781 int nc = a.cols (); |
|
|
782 |
|
|
783 int b_nr = b.rows (); |
|
|
784 int b_nc = b.cols (); |
|
|
785 |
|
|
786 if (nr != b_nr || nc != b_nc) |
|
|
787 { |
|
|
788 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
789 return octave_value (); |
|
|
790 } |
|
1
|
791 |
|
|
792 ComplexMatrix result (nr, nc); |
|
|
793 for (int j = 0; j < nc; j++) |
|
|
794 for (int i = 0; i < nr; i++) |
|
2305
|
795 result (i, j) = pow (a (i, j), b (i, j)); |
|
1
|
796 |
|
1567
|
797 return result; |
|
1
|
798 } |
|
|
799 |
|
|
800 /* |
|
|
801 ;;; Local Variables: *** |
|
|
802 ;;; mode: C++ *** |
|
|
803 ;;; End: *** |
|
|
804 */ |
