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1 /* |
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2 |
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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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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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2365
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39 #include "ov.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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1567
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43 static inline int |
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44 xisint (double x) |
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45 { |
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46 return (D_NINT (x) == x |
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47 && ((x >= 0 && x < INT_MAX) |
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48 || (x <= 0 && x > INT_MIN))); |
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49 } |
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50 |
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767
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51 // Safer pow functions. |
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52 // |
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53 // op2 \ op1: s m cs cm |
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54 // +-- +---+---+----+----+ |
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55 // scalar | | 1 | 5 | 7 | 11 | |
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56 // +---+---+----+----+ |
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2365
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57 // matrix | 2 | * | 8 | * | |
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767
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58 // +---+---+----+----+ |
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59 // complex_scalar | 3 | 6 | 9 | 12 | |
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60 // +---+---+----+----+ |
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2365
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61 // complex_matrix | 4 | * | 10 | * | |
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767
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62 // +---+---+----+----+ |
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1
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63 |
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767
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64 // -*- 1 -*- |
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2086
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65 octave_value |
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1
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66 xpow (double a, double b) |
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67 { |
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2800
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68 if (a < 0.0 && static_cast<int> (b) != b) |
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1
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69 { |
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70 Complex atmp (a); |
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1567
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71 return pow (atmp, b); |
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1
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72 } |
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73 else |
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1567
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74 return pow (a, b); |
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1
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75 } |
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76 |
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767
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77 // -*- 2 -*- |
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2086
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78 octave_value |
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164
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79 xpow (double a, const Matrix& b) |
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1
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80 { |
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2086
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81 octave_value retval; |
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1
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82 |
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83 int nr = b.rows (); |
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2365
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84 int nc = b.cols (); |
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1
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85 |
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86 if (nr == 0 || nc == 0 || nr != nc) |
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87 error ("for x^A, A must be square"); |
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88 else |
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89 { |
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90 EIG b_eig (b); |
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91 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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92 ComplexMatrix Q (b_eig.eigenvectors ()); |
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93 |
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94 for (int i = 0; i < nr; i++) |
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95 { |
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2305
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96 Complex elt = lambda (i); |
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1
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97 if (imag (elt) == 0.0) |
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2305
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98 lambda (i) = pow (a, real (elt)); |
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1
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99 else |
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2305
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100 lambda (i) = pow (a, elt); |
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1
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101 } |
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102 ComplexDiagMatrix D (lambda); |
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103 |
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1567
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104 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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105 } |
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106 |
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107 return retval; |
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108 } |
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109 |
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767
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110 // -*- 3 -*- |
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2086
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111 octave_value |
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164
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112 xpow (double a, const Complex& b) |
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1
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113 { |
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114 Complex result; |
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115 Complex atmp (a); |
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116 result = pow (atmp, b); |
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117 return result; |
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1
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118 } |
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119 |
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767
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120 // -*- 4 -*- |
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2086
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121 octave_value |
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164
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122 xpow (double a, const ComplexMatrix& b) |
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1
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123 { |
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2086
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124 octave_value retval; |
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1
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125 |
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126 int nr = b.rows (); |
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2365
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127 int nc = b.cols (); |
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1
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128 |
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129 if (nr == 0 || nc == 0 || nr != nc) |
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130 error ("for x^A, A must be square"); |
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1
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131 else |
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132 { |
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133 EIG b_eig (b); |
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134 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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135 ComplexMatrix Q (b_eig.eigenvectors ()); |
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136 |
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137 for (int i = 0; i < nr; i++) |
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138 { |
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2305
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139 Complex elt = lambda (i); |
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1
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140 if (imag (elt) == 0.0) |
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2305
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141 lambda (i) = pow (a, real (elt)); |
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1
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142 else |
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2305
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143 lambda (i) = pow (a, elt); |
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1
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144 } |
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145 ComplexDiagMatrix D (lambda); |
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146 |
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147 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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148 } |
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149 |
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150 return retval; |
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151 } |
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152 |
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767
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153 // -*- 5 -*- |
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2086
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154 octave_value |
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164
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155 xpow (const Matrix& a, double b) |
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1
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156 { |
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2086
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157 octave_value retval; |
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1
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158 |
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159 int nr = a.rows (); |
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2365
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160 int nc = a.cols (); |
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1
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161 |
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162 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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163 error ("for A^b, A must be square"); |
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1567
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164 else |
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1
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165 { |
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2800
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166 if (static_cast<int> (b) == b) |
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1
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167 { |
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2804
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168 int btmp = static_cast<int> (b); |
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1567
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169 if (btmp == 0) |
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170 { |
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171 retval = DiagMatrix (nr, nr, 1.0); |
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172 } |
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173 else |
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174 { |
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175 // Too much copying? |
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176 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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177 // large... |
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178 |
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179 Matrix atmp; |
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180 if (btmp < 0) |
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181 { |
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182 btmp = -btmp; |
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183 |
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184 int info; |
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185 double rcond = 0.0; |
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186 |
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187 atmp = a.inverse (info, rcond, 1); |
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188 |
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189 if (info == -1) |
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190 warning ("inverse: matrix singular to machine\ |
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191 precision, rcond = %g", rcond); |
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1567
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192 } |
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193 else |
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194 atmp = a; |
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195 |
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196 Matrix result (atmp); |
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197 |
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198 btmp--; |
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199 |
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200 while (btmp > 0) |
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201 { |
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202 if (btmp & 1) |
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203 result = result * atmp; |
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204 |
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205 btmp >>= 1; |
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206 |
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207 if (btmp > 0) |
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208 atmp = atmp * atmp; |
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209 } |
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210 |
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211 retval = result; |
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212 } |
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1
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213 } |
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214 else |
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215 { |
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216 EIG a_eig (a); |
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217 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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218 ComplexMatrix Q (a_eig.eigenvectors ()); |
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219 |
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220 for (int i = 0; i < nr; i++) |
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221 lambda (i) = pow (lambda (i), b); |
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222 |
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223 ComplexDiagMatrix D (lambda); |
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224 |
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225 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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226 } |
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227 } |
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228 |
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229 return retval; |
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230 } |
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1
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231 |
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1567
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232 // -*- 6 -*- |
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233 octave_value |
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1567
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234 xpow (const Matrix& a, const Complex& b) |
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235 { |
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2086
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236 octave_value retval; |
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1
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237 |
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1567
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238 int nr = a.rows (); |
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2365
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239 int nc = a.cols (); |
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1567
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240 |
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241 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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242 error ("for A^b, A must be square"); |
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1
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243 else |
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244 { |
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245 EIG a_eig (a); |
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246 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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247 ComplexMatrix Q (a_eig.eigenvectors ()); |
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248 |
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249 for (int i = 0; i < nr; i++) |
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2305
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250 lambda (i) = pow (lambda (i), b); |
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1
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251 |
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252 ComplexDiagMatrix D (lambda); |
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253 |
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254 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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255 } |
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256 |
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257 return retval; |
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258 } |
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259 |
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767
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260 // -*- 7 -*- |
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2086
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261 octave_value |
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164
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262 xpow (const Complex& a, double b) |
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1
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263 { |
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264 Complex result; |
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1567
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265 |
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266 if (xisint (b)) |
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2800
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267 result = pow (a, static_cast<int> (b)); |
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268 else |
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269 result = pow (a, b); |
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270 |
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271 return result; |
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1
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272 } |
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273 |
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767
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274 // -*- 8 -*- |
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2086
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275 octave_value |
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164
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276 xpow (const Complex& a, const Matrix& b) |
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1
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277 { |
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2086
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278 octave_value retval; |
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1
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279 |
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280 int nr = b.rows (); |
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2365
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281 int nc = b.cols (); |
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1
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282 |
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283 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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284 error ("for x^A, A must be square"); |
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1
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285 else |
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286 { |
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287 EIG b_eig (b); |
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288 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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289 ComplexMatrix Q (b_eig.eigenvectors ()); |
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290 |
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291 for (int i = 0; i < nr; i++) |
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292 { |
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2305
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293 Complex elt = lambda (i); |
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1
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294 if (imag (elt) == 0.0) |
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2305
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295 lambda (i) = pow (a, real (elt)); |
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1
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296 else |
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2305
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297 lambda (i) = pow (a, elt); |
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1
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298 } |
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299 ComplexDiagMatrix D (lambda); |
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300 |
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1567
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301 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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302 } |
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303 |
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304 return retval; |
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305 } |
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306 |
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767
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307 // -*- 9 -*- |
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2086
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308 octave_value |
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164
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309 xpow (const Complex& a, const Complex& b) |
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1
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310 { |
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311 Complex result; |
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312 result = pow (a, b); |
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1567
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313 return result; |
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1
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314 } |
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315 |
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767
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316 // -*- 10 -*- |
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2086
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317 octave_value |
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164
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318 xpow (const Complex& a, const ComplexMatrix& b) |
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1
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319 { |
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2086
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320 octave_value retval; |
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1
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321 |
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322 int nr = b.rows (); |
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2365
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323 int nc = b.cols (); |
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1
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324 |
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325 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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326 error ("for x^A, A must be square"); |
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1
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327 else |
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328 { |
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329 EIG b_eig (b); |
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330 ComplexColumnVector lambda (b_eig.eigenvalues ()); |
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331 ComplexMatrix Q (b_eig.eigenvectors ()); |
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332 |
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333 for (int i = 0; i < nr; i++) |
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334 { |
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2305
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335 Complex elt = lambda (i); |
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1
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336 if (imag (elt) == 0.0) |
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2305
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337 lambda (i) = pow (a, real (elt)); |
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1
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338 else |
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2305
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339 lambda (i) = pow (a, elt); |
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1
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340 } |
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341 ComplexDiagMatrix D (lambda); |
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342 |
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1567
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343 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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344 } |
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345 |
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346 return retval; |
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347 } |
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348 |
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767
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349 // -*- 11 -*- |
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2086
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350 octave_value |
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164
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351 xpow (const ComplexMatrix& a, double b) |
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1
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352 { |
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2086
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353 octave_value retval; |
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1
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354 |
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355 int nr = a.rows (); |
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2365
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356 int nc = a.cols (); |
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1
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357 |
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358 if (nr == 0 || nc == 0 || nr != nc) |
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2365
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359 error ("for A^b, A must be square"); |
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1567
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360 else |
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1
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361 { |
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2800
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362 if (static_cast<int> (b) == b) |
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1
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363 { |
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2804
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364 int btmp = static_cast<int> (b); |
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1567
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365 if (btmp == 0) |
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366 { |
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367 retval = DiagMatrix (nr, nr, 1.0); |
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368 } |
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369 else |
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370 { |
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371 // Too much copying? |
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372 // XXX FIXME XXX -- we shouldn't do this if the exponent is |
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373 // large... |
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374 |
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375 ComplexMatrix atmp; |
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376 if (btmp < 0) |
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377 { |
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378 btmp = -btmp; |
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1655
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379 |
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380 int info; |
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381 double rcond = 0.0; |
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382 |
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1656
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383 atmp = a.inverse (info, rcond, 1); |
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1655
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384 |
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385 if (info == -1) |
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386 warning ("inverse: matrix singular to machine\ |
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387 precision, rcond = %g", rcond); |
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1567
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388 } |
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389 else |
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390 atmp = a; |
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391 |
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392 ComplexMatrix result (atmp); |
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3178
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393 |
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394 btmp--; |
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395 |
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396 while (btmp > 0) |
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397 { |
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398 if (btmp & 1) |
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399 result = result * atmp; |
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400 |
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401 btmp >>= 1; |
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402 |
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403 if (btmp > 0) |
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404 atmp = atmp * atmp; |
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405 } |
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1567
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406 |
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407 retval = result; |
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408 } |
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1
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409 } |
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410 else |
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411 { |
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1567
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412 EIG a_eig (a); |
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413 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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414 ComplexMatrix Q (a_eig.eigenvectors ()); |
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415 |
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416 for (int i = 0; i < nr; i++) |
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2305
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417 lambda (i) = pow (lambda (i), b); |
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1567
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418 |
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419 ComplexDiagMatrix D (lambda); |
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420 |
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421 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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422 } |
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423 } |
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1358
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424 |
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1567
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425 return retval; |
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426 } |
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1
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427 |
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1567
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428 // -*- 12 -*- |
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2086
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429 octave_value |
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1567
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430 xpow (const ComplexMatrix& a, const Complex& b) |
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431 { |
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2086
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432 octave_value retval; |
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1
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433 |
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1567
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434 int nr = a.rows (); |
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2365
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435 int nc = a.cols (); |
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1567
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436 |
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437 if (nr == 0 || nc == 0 || nr != nc) |
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2365
|
438 error ("for A^b, A must be square"); |
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1
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439 else |
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440 { |
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441 EIG a_eig (a); |
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442 ComplexColumnVector lambda (a_eig.eigenvalues ()); |
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443 ComplexMatrix Q (a_eig.eigenvectors ()); |
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444 |
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445 for (int i = 0; i < nr; i++) |
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2305
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446 lambda (i) = pow (lambda (i), b); |
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1
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447 |
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448 ComplexDiagMatrix D (lambda); |
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449 |
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1567
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450 retval = ComplexMatrix (Q * D * Q.inverse ()); |
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1
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451 } |
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452 |
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453 return retval; |
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454 } |
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455 |
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767
|
456 // Safer pow functions that work elementwise for matrices. |
|
|
457 // |
|
|
458 // op2 \ op1: s m cs cm |
|
|
459 // +-- +---+---+----+----+ |
|
|
460 // scalar | | * | 3 | * | 9 | |
|
|
461 // +---+---+----+----+ |
|
|
462 // matrix | 1 | 4 | 7 | 10 | |
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463 // +---+---+----+----+ |
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|
464 // complex_scalar | * | 5 | * | 11 | |
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465 // +---+---+----+----+ |
|
|
466 // complex_matrix | 2 | 6 | 8 | 12 | |
|
|
467 // +---+---+----+----+ |
|
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468 // |
|
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469 // * -> not needed. |
|
1
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470 |
|
3162
|
471 // XXX FIXME XXX -- these functions need to be fixed so that things |
|
|
472 // like |
|
|
473 // |
|
|
474 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b |
|
|
475 // |
|
|
476 // and |
|
|
477 // |
|
|
478 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end |
|
|
479 // |
|
|
480 // produce identical results. Also, it would be nice if -1^0.5 |
|
|
481 // produced a pure imaginary result instead of a complex number with a |
|
|
482 // small real part. But perhaps that's really a problem with the math |
|
|
483 // library... |
|
|
484 |
|
767
|
485 // -*- 1 -*- |
|
2086
|
486 octave_value |
|
164
|
487 elem_xpow (double a, const Matrix& b) |
|
1
|
488 { |
|
2086
|
489 octave_value retval; |
|
1
|
490 |
|
|
491 int nr = b.rows (); |
|
2365
|
492 int nc = b.cols (); |
|
1
|
493 |
|
3162
|
494 double d1, d2; |
|
1358
|
495 |
|
3162
|
496 if (a < 0.0 && ! b.all_integers (d1, d2)) |
|
1
|
497 { |
|
|
498 Complex atmp (a); |
|
|
499 ComplexMatrix result (nr, nc); |
|
|
500 for (int j = 0; j < nc; j++) |
|
|
501 for (int i = 0; i < nr; i++) |
|
2305
|
502 result (i, j) = pow (atmp, b (i, j)); |
|
1
|
503 |
|
1567
|
504 retval = result; |
|
1
|
505 } |
|
|
506 else |
|
|
507 { |
|
|
508 Matrix result (nr, nc); |
|
|
509 for (int j = 0; j < nc; j++) |
|
|
510 for (int i = 0; i < nr; i++) |
|
2305
|
511 result (i, j) = pow (a, b (i, j)); |
|
1
|
512 |
|
1567
|
513 retval = result; |
|
1
|
514 } |
|
|
515 |
|
|
516 return retval; |
|
|
517 } |
|
|
518 |
|
767
|
519 // -*- 2 -*- |
|
2086
|
520 octave_value |
|
164
|
521 elem_xpow (double a, const ComplexMatrix& b) |
|
1
|
522 { |
|
|
523 int nr = b.rows (); |
|
2365
|
524 int nc = b.cols (); |
|
1
|
525 |
|
|
526 ComplexMatrix result (nr, nc); |
|
3125
|
527 Complex atmp (a); |
|
1
|
528 for (int j = 0; j < nc; j++) |
|
|
529 for (int i = 0; i < nr; i++) |
|
3125
|
530 result (i, j) = pow (atmp, b (i, j)); |
|
1
|
531 |
|
1567
|
532 return result; |
|
1
|
533 } |
|
|
534 |
|
767
|
535 // -*- 3 -*- |
|
2086
|
536 octave_value |
|
164
|
537 elem_xpow (const Matrix& a, double b) |
|
1
|
538 { |
|
2086
|
539 octave_value retval; |
|
1
|
540 |
|
|
541 int nr = a.rows (); |
|
2365
|
542 int nc = a.cols (); |
|
1
|
543 |
|
2800
|
544 if (static_cast<int> (b) != b && a.any_element_is_negative ()) |
|
1
|
545 { |
|
|
546 ComplexMatrix result (nr, nc); |
|
|
547 for (int j = 0; j < nc; j++) |
|
|
548 for (int i = 0; i < nr; i++) |
|
|
549 { |
|
2305
|
550 Complex atmp (a (i, j)); |
|
|
551 result (i, j) = pow (atmp, b); |
|
1
|
552 } |
|
|
553 |
|
1567
|
554 retval = result; |
|
1
|
555 } |
|
|
556 else |
|
|
557 { |
|
|
558 Matrix result (nr, nc); |
|
|
559 for (int j = 0; j < nc; j++) |
|
|
560 for (int i = 0; i < nr; i++) |
|
2305
|
561 result (i, j) = pow (a (i, j), b); |
|
1
|
562 |
|
1567
|
563 retval = result; |
|
1
|
564 } |
|
|
565 |
|
|
566 return retval; |
|
|
567 } |
|
|
568 |
|
767
|
569 // -*- 4 -*- |
|
2086
|
570 octave_value |
|
164
|
571 elem_xpow (const Matrix& a, const Matrix& b) |
|
1
|
572 { |
|
2086
|
573 octave_value retval; |
|
1567
|
574 |
|
1
|
575 int nr = a.rows (); |
|
2365
|
576 int nc = a.cols (); |
|
|
577 |
|
|
578 int b_nr = b.rows (); |
|
|
579 int b_nc = b.cols (); |
|
1
|
580 |
|
2365
|
581 if (nr != b_nr || nc != b_nc) |
|
|
582 { |
|
|
583 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
584 return octave_value (); |
|
|
585 } |
|
1
|
586 |
|
|
587 int convert_to_complex = 0; |
|
|
588 for (int j = 0; j < nc; j++) |
|
1321
|
589 for (int i = 0; i < nr; i++) |
|
1
|
590 { |
|
2305
|
591 double atmp = a (i, j); |
|
|
592 double btmp = b (i, j); |
|
2800
|
593 if (atmp < 0.0 && static_cast<int> (btmp) != btmp) |
|
1
|
594 { |
|
|
595 convert_to_complex = 1; |
|
|
596 goto done; |
|
|
597 } |
|
|
598 } |
|
|
599 |
|
2365
|
600 done: |
|
1
|
601 |
|
|
602 if (convert_to_complex) |
|
|
603 { |
|
|
604 ComplexMatrix complex_result (nr, nc); |
|
|
605 |
|
1321
|
606 for (int j = 0; j < nc; j++) |
|
|
607 for (int i = 0; i < nr; i++) |
|
1
|
608 { |
|
2305
|
609 Complex atmp (a (i, j)); |
|
|
610 Complex btmp (b (i, j)); |
|
|
611 complex_result (i, j) = pow (atmp, btmp); |
|
1
|
612 } |
|
1567
|
613 |
|
|
614 retval = complex_result; |
|
1
|
615 } |
|
|
616 else |
|
|
617 { |
|
|
618 Matrix result (nr, nc); |
|
|
619 |
|
1321
|
620 for (int j = 0; j < nc; j++) |
|
|
621 for (int i = 0; i < nr; i++) |
|
2305
|
622 result (i, j) = pow (a (i, j), b (i, j)); |
|
1
|
623 |
|
1567
|
624 retval = result; |
|
1
|
625 } |
|
1567
|
626 |
|
|
627 return retval; |
|
1
|
628 } |
|
|
629 |
|
767
|
630 // -*- 5 -*- |
|
2086
|
631 octave_value |
|
164
|
632 elem_xpow (const Matrix& a, const Complex& b) |
|
1
|
633 { |
|
|
634 int nr = a.rows (); |
|
2365
|
635 int nc = a.cols (); |
|
1
|
636 |
|
|
637 ComplexMatrix result (nr, nc); |
|
|
638 for (int j = 0; j < nc; j++) |
|
|
639 for (int i = 0; i < nr; i++) |
|
3125
|
640 result (i, j) = pow (Complex (a (i, j)), b); |
|
1
|
641 |
|
1567
|
642 return result; |
|
1
|
643 } |
|
|
644 |
|
767
|
645 // -*- 6 -*- |
|
2086
|
646 octave_value |
|
164
|
647 elem_xpow (const Matrix& a, const ComplexMatrix& b) |
|
1
|
648 { |
|
|
649 int nr = a.rows (); |
|
2365
|
650 int nc = a.cols (); |
|
|
651 |
|
|
652 int b_nr = b.rows (); |
|
|
653 int b_nc = b.cols (); |
|
1
|
654 |
|
2365
|
655 if (nr != b_nr || nc != b_nc) |
|
|
656 { |
|
|
657 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
658 return octave_value (); |
|
|
659 } |
|
1
|
660 |
|
|
661 ComplexMatrix result (nr, nc); |
|
|
662 for (int j = 0; j < nc; j++) |
|
|
663 for (int i = 0; i < nr; i++) |
|
3125
|
664 result (i, j) = pow (Complex (a (i, j)), b (i, j)); |
|
1
|
665 |
|
1567
|
666 return result; |
|
1
|
667 } |
|
|
668 |
|
767
|
669 // -*- 7 -*- |
|
2086
|
670 octave_value |
|
164
|
671 elem_xpow (const Complex& a, const Matrix& b) |
|
1
|
672 { |
|
|
673 int nr = b.rows (); |
|
2365
|
674 int nc = b.cols (); |
|
1
|
675 |
|
|
676 ComplexMatrix result (nr, nc); |
|
|
677 for (int j = 0; j < nc; j++) |
|
|
678 for (int i = 0; i < nr; i++) |
|
1567
|
679 { |
|
2305
|
680 double btmp = b (i, j); |
|
1567
|
681 if (xisint (btmp)) |
|
2800
|
682 result (i, j) = pow (a, static_cast<int> (btmp)); |
|
1567
|
683 else |
|
2305
|
684 result (i, j) = pow (a, btmp); |
|
1567
|
685 } |
|
1
|
686 |
|
1567
|
687 return result; |
|
1
|
688 } |
|
|
689 |
|
767
|
690 // -*- 8 -*- |
|
2086
|
691 octave_value |
|
164
|
692 elem_xpow (const Complex& a, const ComplexMatrix& b) |
|
1
|
693 { |
|
|
694 int nr = b.rows (); |
|
2365
|
695 int nc = b.cols (); |
|
1
|
696 |
|
|
697 ComplexMatrix result (nr, nc); |
|
|
698 for (int j = 0; j < nc; j++) |
|
|
699 for (int i = 0; i < nr; i++) |
|
2305
|
700 result (i, j) = pow (a, b (i, j)); |
|
1
|
701 |
|
1567
|
702 return result; |
|
1
|
703 } |
|
|
704 |
|
767
|
705 // -*- 9 -*- |
|
2086
|
706 octave_value |
|
164
|
707 elem_xpow (const ComplexMatrix& a, double b) |
|
1
|
708 { |
|
|
709 int nr = a.rows (); |
|
2365
|
710 int nc = a.cols (); |
|
1
|
711 |
|
|
712 ComplexMatrix result (nr, nc); |
|
|
713 |
|
1567
|
714 if (xisint (b)) |
|
|
715 { |
|
|
716 for (int j = 0; j < nc; j++) |
|
|
717 for (int i = 0; i < nr; i++) |
|
2800
|
718 result (i, j) = pow (a (i, j), static_cast<int> (b)); |
|
1567
|
719 } |
|
|
720 else |
|
|
721 { |
|
|
722 for (int j = 0; j < nc; j++) |
|
|
723 for (int i = 0; i < nr; i++) |
|
2305
|
724 result (i, j) = pow (a (i, j), b); |
|
1567
|
725 } |
|
|
726 |
|
|
727 return result; |
|
1
|
728 } |
|
|
729 |
|
767
|
730 // -*- 10 -*- |
|
2086
|
731 octave_value |
|
164
|
732 elem_xpow (const ComplexMatrix& a, const Matrix& b) |
|
1
|
733 { |
|
|
734 int nr = a.rows (); |
|
2365
|
735 int nc = a.cols (); |
|
|
736 |
|
|
737 int b_nr = b.rows (); |
|
|
738 int b_nc = b.cols (); |
|
1
|
739 |
|
2365
|
740 if (nr != b_nr || nc != b_nc) |
|
|
741 { |
|
|
742 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
743 return octave_value (); |
|
|
744 } |
|
1
|
745 |
|
|
746 ComplexMatrix result (nr, nc); |
|
|
747 for (int j = 0; j < nc; j++) |
|
|
748 for (int i = 0; i < nr; i++) |
|
1567
|
749 { |
|
2305
|
750 double btmp = b (i, j); |
|
1567
|
751 if (xisint (btmp)) |
|
2800
|
752 result (i, j) = pow (a (i, j), static_cast<int> (btmp)); |
|
1567
|
753 else |
|
2305
|
754 result (i, j) = pow (a (i, j), btmp); |
|
1567
|
755 } |
|
1
|
756 |
|
1567
|
757 return result; |
|
1
|
758 } |
|
|
759 |
|
767
|
760 // -*- 11 -*- |
|
2086
|
761 octave_value |
|
164
|
762 elem_xpow (const ComplexMatrix& a, const Complex& b) |
|
1
|
763 { |
|
|
764 int nr = a.rows (); |
|
2365
|
765 int nc = a.cols (); |
|
1
|
766 |
|
|
767 ComplexMatrix result (nr, nc); |
|
|
768 for (int j = 0; j < nc; j++) |
|
|
769 for (int i = 0; i < nr; i++) |
|
2305
|
770 result (i, j) = pow (a (i, j), b); |
|
1
|
771 |
|
1567
|
772 return result; |
|
1
|
773 } |
|
|
774 |
|
767
|
775 // -*- 12 -*- |
|
2086
|
776 octave_value |
|
164
|
777 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b) |
|
1
|
778 { |
|
|
779 int nr = a.rows (); |
|
2365
|
780 int nc = a.cols (); |
|
|
781 |
|
|
782 int b_nr = b.rows (); |
|
|
783 int b_nc = b.cols (); |
|
|
784 |
|
|
785 if (nr != b_nr || nc != b_nc) |
|
|
786 { |
|
|
787 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
|
|
788 return octave_value (); |
|
|
789 } |
|
1
|
790 |
|
|
791 ComplexMatrix result (nr, nc); |
|
|
792 for (int j = 0; j < nc; j++) |
|
|
793 for (int i = 0; i < nr; i++) |
|
2305
|
794 result (i, j) = pow (a (i, j), b (i, j)); |
|
1
|
795 |
|
1567
|
796 return result; |
|
1
|
797 } |
|
|
798 |
|
|
799 /* |
|
|
800 ;;; Local Variables: *** |
|
|
801 ;;; mode: C++ *** |
|
|
802 ;;; End: *** |
|
|
803 */ |
