annotate src/xpow.cc @ 8978:0a58c4cd1405

optimize element-wise power
author Jaroslav Hajek <highegg@gmail.com>
date Fri, 13 Mar 2009 22:33:26 +0100
parents 93f18f166aba
children a7c00773a089
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1 /*
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2
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3 Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003,
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4 2004, 2005, 2006, 2007, 2008 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
1
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
240
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include <cassert>
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29 #include <climits>
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30
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31 #include "Array-util.h"
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32 #include "CColVector.h"
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33 #include "CDiagMatrix.h"
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34 #include "fCDiagMatrix.h"
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35 #include "CMatrix.h"
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36 #include "EIG.h"
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37 #include "fEIG.h"
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38 #include "dDiagMatrix.h"
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39 #include "fDiagMatrix.h"
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40 #include "dMatrix.h"
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41 #include "PermMatrix.h"
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42 #include "mx-cm-cdm.h"
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43 #include "oct-cmplx.h"
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44 #include "quit.h"
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45
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46 #include "error.h"
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47 #include "oct-obj.h"
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48 #include "utils.h"
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49 #include "xpow.h"
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50
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51 #ifdef _OPENMP
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52 #include <omp.h>
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53 #endif
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54
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55 static inline int
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56 xisint (double x)
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57 {
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58 return (D_NINT (x) == x
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59 && ((x >= 0 && x < INT_MAX)
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60 || (x <= 0 && x > INT_MIN)));
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61 }
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62
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63 // Safer pow functions.
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64 //
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65 // op2 \ op1: s m cs cm
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66 // +-- +---+---+----+----+
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67 // scalar | | 1 | 5 | 7 | 11 |
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68 // +---+---+----+----+
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69 // matrix | 2 | * | 8 | * |
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70 // +---+---+----+----+
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71 // complex_scalar | 3 | 6 | 9 | 12 |
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72 // +---+---+----+----+
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73 // complex_matrix | 4 | * | 10 | * |
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74 // +---+---+----+----+
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75
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76 // -*- 1 -*-
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77 octave_value
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78 xpow (double a, double b)
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79 {
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80 double retval;
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81
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82 if (a < 0.0 && ! xisint (b))
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83 {
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84 Complex atmp (a);
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85
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86 return std::pow (atmp, b);
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87 }
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88 else
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89 retval = std::pow (a, b);
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90
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91 return retval;
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92 }
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93
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94 // -*- 2 -*-
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95 octave_value
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96 xpow (double a, const Matrix& b)
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97 {
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98 octave_value retval;
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99
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100 octave_idx_type nr = b.rows ();
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101 octave_idx_type nc = b.cols ();
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102
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103 if (nr == 0 || nc == 0 || nr != nc)
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104 error ("for x^A, A must be square");
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105 else
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106 {
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107 EIG b_eig (b);
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108
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109 if (! error_state)
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110 {
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111 ComplexColumnVector lambda (b_eig.eigenvalues ());
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112 ComplexMatrix Q (b_eig.eigenvectors ());
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113
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114 for (octave_idx_type i = 0; i < nr; i++)
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115 {
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116 Complex elt = lambda(i);
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117 if (std::imag (elt) == 0.0)
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118 lambda(i) = std::pow (a, std::real (elt));
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119 else
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120 lambda(i) = std::pow (a, elt);
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121 }
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122 ComplexDiagMatrix D (lambda);
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123
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124 retval = ComplexMatrix (Q * D * Q.inverse ());
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125 }
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126 else
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127 error ("xpow: matrix diagonalization failed");
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128 }
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129
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130 return retval;
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131 }
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132
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133 // -*- 3 -*-
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134 octave_value
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135 xpow (double a, const Complex& b)
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136 {
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137 Complex result;
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138 Complex atmp (a);
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139 result = std::pow (atmp, b);
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140 return result;
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141 }
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142
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143 // -*- 4 -*-
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144 octave_value
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145 xpow (double a, const ComplexMatrix& b)
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146 {
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147 octave_value retval;
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148
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149 octave_idx_type nr = b.rows ();
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150 octave_idx_type nc = b.cols ();
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151
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152 if (nr == 0 || nc == 0 || nr != nc)
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153 error ("for x^A, A must be square");
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154 else
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155 {
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156 EIG b_eig (b);
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157
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91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
158 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
159 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
160 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
161 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
162
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
163 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
164 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
165 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
166 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
167 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
168 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
169 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
170 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
171 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
172
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
173 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
174 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
175 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
176 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
177 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
178
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
179 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
180 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
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181
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
182 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
183 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
184 xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
diff changeset
185 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
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parents: 1996
diff changeset
186 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
187
5275
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parents: 5260
diff changeset
188 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
189 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
190
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
191 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
192 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
193 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
194 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
195 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
196 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
197 int btmp = static_cast<int> (b);
1567
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parents: 1358
diff changeset
198 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
199 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
200 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
201 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
202 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
203 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
204 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
205 // FIXME -- we shouldn't do this if the exponent is
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
206 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
207
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
208 Matrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
209 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
210 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
211 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
212
5275
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parents: 5260
diff changeset
213 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
214 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
215 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
216
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
217 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
218
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
219 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
220 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
221 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
222 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
223 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
224 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
225
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
226 Matrix result (atmp);
3178
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
227
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
228 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
229
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
230 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
231 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
232 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
233 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
234
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
235 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
236
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
237 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
238 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
239 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
240
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
241 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
242 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
243 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
244 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
245 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
246 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
247
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
248 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
249 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
250 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
251 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
252
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
253 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
254 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
255
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
256 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
257
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
258 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
259 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
260 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
261 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
262 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
263 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
264
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
265 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
266 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
267
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
268 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
269 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
270 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
271 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
272 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
273
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
274 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
275 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
276
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
277 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
278 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
279 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
280 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
281 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
282 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
283 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
284 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
285 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
286 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
287 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
288 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
289 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
290 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
291 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
292 r(i, i) = std::pow (static_cast<Complex> (a(i, i)), b);
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
293 retval = r;
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
294 }
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
295 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
296
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
297 return retval;
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
298 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
299
8958
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
300 // -*- 5p -*-
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
301 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
302 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
303 {
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
304 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
305 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
306 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
307 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
308 else
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
309 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
310 }
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
311
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
312 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
313 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
314 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
315 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
316 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
317
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
318 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
319 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
320
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
321 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
322 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
323 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
324 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
325 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
326
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
327 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
328 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
329 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
330 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
331
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
332 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
333 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
334
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
335 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
336
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
337 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
338 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
339 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
340 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
341 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
342
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
343 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
344 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
345
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
346 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
347 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
348 xpow (const Complex& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
349 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
350 Complex result;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
351
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
352 if (xisint (b))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
353 result = std::pow (a, static_cast<int> (b));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
354 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
355 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
356
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
357 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
358 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
359
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
360 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
361 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
362 xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
363 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
364 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
365
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
366 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
367 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
368
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
369 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
370 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
371 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
372 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
373 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
374
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
375 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
376 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
377 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
378 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
379
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
380 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
381 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
382 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
383 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
384 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
385 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
386 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
387 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
388 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
389
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
390 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
391 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
392 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
393 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
394 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
395
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
396 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
397 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
398
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
399 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
400 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
401 xpow (const Complex& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
402 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
403 Complex result;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
404 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
405 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
406 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
407
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
408 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
409 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
410 xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
411 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
412 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
413
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
414 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
415 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
416
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
417 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
418 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
419 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
420 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
421 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
422
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
423 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
424 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
425 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
426 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
427
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
428 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
429 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
430 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
431 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
432 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
433 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
434 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
435 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
436 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
437
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
438 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
439 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
440 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
441 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
442 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
443
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
444 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
445 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
446
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
447 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
448 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
449 xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
450 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
451 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
452
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
453 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
454 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
455
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
456 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
457 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
458 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
459 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
460 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
461 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
462 int btmp = static_cast<int> (b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
463 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
464 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
465 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
466 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
467 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
468 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
469 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
470 // FIXME -- we shouldn't do this if the exponent is
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
471 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
472
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
473 ComplexMatrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
474 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
475 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
476 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
477
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
478 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
479 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
480 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
481
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
482 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
483
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
484 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
485 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
486 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
487 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
488 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
489 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
490
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
491 ComplexMatrix result (atmp);
3178
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
492
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
493 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
494
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
495 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
496 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
497 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
498 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
499
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
500 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
501
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
502 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
503 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
504 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
505
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
506 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
507 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
508 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
509 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
510 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
511 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
512
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
513 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
514 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
515 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
516 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
517
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
518 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
519 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
520
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
521 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
522
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
523 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
524 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
525 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
526 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
527 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
528 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
529
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
530 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
531 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
532
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
533 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
534 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
535 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
536 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
537 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
538
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
539 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
540 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
541
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
542 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
543 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
544 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
545 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
546 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
547
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
548 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
549 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
550 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
551 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
552
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
553 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
554 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
555
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
556 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
557
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
558 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
559 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
560 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
561 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
562 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
563
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
564 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
565 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
566
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
567 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
568 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
569 xpow (const ComplexDiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
570 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
571 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
572
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
573 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
574 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
575
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
576 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
577 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
578 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
579 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
580 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
581 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
582 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
583 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
584 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
585
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
586 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
587 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
588
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
589 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
590 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
591 xpow (const ComplexDiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
592 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
593 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
594 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
595
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
596 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
597 xpow (const DiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
598 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
599 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
600 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
601
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
602
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
603 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
604 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
605 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
606 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
607 // scalar | | * | 3 | * | 9 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
608 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
609 // matrix | 1 | 4 | 7 | 10 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
610 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
611 // complex_scalar | * | 5 | * | 11 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
612 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
613 // complex_matrix | 2 | 6 | 8 | 12 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
614 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
615 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
616 // * -> not needed.
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
617
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
618 // FIXME -- these functions need to be fixed so that things
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
619 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
620 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
621 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
622 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
623 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
624 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
625 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
626 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
627 // produce identical results. Also, it would be nice if -1^0.5
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
628 // produced a pure imaginary result instead of a complex number with a
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
629 // small real part. But perhaps that's really a problem with the math
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
630 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
631
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
632 // -*- 1 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
633 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
634 elem_xpow (double a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
635 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
636 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
637
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
638 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
639 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
640
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
641 double d1, d2;
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
642
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
643 if (a < 0.0 && ! b.all_integers (d1, d2))
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
644 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
645 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
646 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
647
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
648 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
649 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
650 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
651 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
652 result (i, j) = std::pow (atmp, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
653 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
654
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
655 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
656 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
657 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
658 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
659 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
660
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
661 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
662 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
663 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
664 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
665 result (i, j) = std::pow (a, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
666 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
667
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
668 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
669 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
670
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
671 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
672 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
673
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
674 // -*- 2 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
675 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
676 elem_xpow (double a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
677 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
678 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
679 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
680
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
681 ComplexMatrix result (nr, nc);
3125
dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe]
jwe
parents: 2847
diff changeset
682 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
683
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
684 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
685 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
686 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
687 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
688 result (i, j) = std::pow (atmp, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
689 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
690
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
691 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
692 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
693
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
694 // -*- 3 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
695 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
696 elem_xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
697 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
698 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
699
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
700 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
701 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
702
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
703 if (! xisint (b) && a.any_element_is_negative ())
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
704 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
705 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
706
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
707 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
708 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
709 {
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
710 OCTAVE_QUIT;
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
711
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
712 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
713
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
714 result (i, j) = std::pow (atmp, b);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
715 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
716
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
717 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
718 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
719 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
720 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
721 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
722
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
723 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
724 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
725 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
726 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
727 result (i, j) = std::pow (a (i, j), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
728 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
729
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
730 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
731 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
732
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
733 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
734 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
735
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
736 // -*- 4 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
737 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
738 elem_xpow (const Matrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
739 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
740 octave_value retval;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
741
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
742 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
743 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
744
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
745 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
746 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
747
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
748 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
749 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
750 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
751 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
752 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
753
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
754 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
755 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
756 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
757 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
758 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
759 double atmp = a (i, j);
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
760 double btmp = b (i, j);
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
761 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
762 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
763 convert_to_complex = 1;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
764 goto done;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
765 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
766 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
767
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
768 done:
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
769
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
770 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
771 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
772 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
773
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
774 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
775 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
776 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
777 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
778 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
779 Complex btmp (b (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
780 complex_result (i, j) = std::pow (atmp, btmp);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
781 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
782
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
783 retval = complex_result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
784 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
785 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
786 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
787 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
788
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
789 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
790 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
791 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
792 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
793 result (i, j) = std::pow (a (i, j), b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
794 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
795
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
796 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
797 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
798
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
799 return retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
800 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
801
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
802 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
803 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
804 elem_xpow (const Matrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
805 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
806 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
807 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
808
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
809 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
810
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
811 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
812 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
813 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
814 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
815 result (i, j) = std::pow (Complex (a (i, j)), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
816 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
817
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
818 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
819 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
820
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
821 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
822 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
823 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
824 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
825 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
826 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
827
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
828 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
829 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
830
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
831 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
832 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
833 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
834 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
835 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
836
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
837 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
838
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
839 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
840 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
841 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
842 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
843 result (i, j) = std::pow (Complex (a (i, j)), b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
844 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
845
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
846 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
847 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
848
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
849 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
850 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
851 elem_xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
852 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
853 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
854 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
855
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
856 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
857
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
858 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
859 for (octave_idx_type i = 0; i < nr; i++)
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
860 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
861 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
862 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
863 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
864 result (i, j) = std::pow (a, static_cast<int> (btmp));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
865 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
866 result (i, j) = std::pow (a, btmp);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
867 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
868
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
869 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
870 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
871
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
872 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
873 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
874 elem_xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
875 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
876 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
877 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
878
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
879 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
880
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
881 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
882 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
883 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
884 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
885 result (i, j) = std::pow (a, b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
886 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
887
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
888 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
889 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
890
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
891 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
892 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
893 elem_xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
894 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
895 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
896 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
897
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
898 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
899
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
900 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
901 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
902 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
903 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
904 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
905 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
906 result (i, j) = std::pow (a (i, j), static_cast<int> (b));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
907 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
908 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
909 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
910 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
911 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
912 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
913 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
914 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
915 result (i, j) = std::pow (a (i, j), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
916 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
917 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
918
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
919 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
920 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
921
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
922 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
923 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
924 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
925 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
926 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
927 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
928
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
929 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
930 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
931
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
932 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
933 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
934 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
935 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
936 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
937
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
938 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
939
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
940 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
941 for (octave_idx_type i = 0; i < nr; i++)
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
942 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
943 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
944 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
945 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
946 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
947 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
948 result (i, j) = std::pow (a (i, j), btmp);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
949 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
950
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
951 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
952 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
953
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
954 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
955 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
956 elem_xpow (const ComplexMatrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
957 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
958 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
959 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
960
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
961 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
962
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
963 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
964 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
965 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
966 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
967 result (i, j) = std::pow (a (i, j), b);
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
968 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
969
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
970 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
971 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
972
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
973 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
974 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
975 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
976 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
977 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
978 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
979
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
980 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
981 octave_idx_type b_nc = b.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
982
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
983 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
984 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
985 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
986 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
987 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
988
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
989 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
990
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
991 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
992 for (octave_idx_type i = 0; i < nr; i++)
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
993 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
994 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
995 result (i, j) = std::pow (a (i, j), b (i, j));
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
996 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
997
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
998 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
999 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1000
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1001 // Safer pow functions that work elementwise for N-d arrays.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1002 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1003 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1004 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1005 // scalar | | * | 3 | * | 9 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1006 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1007 // N_d | 1 | 4 | 7 | 10 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1008 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1009 // complex_scalar | * | 5 | * | 11 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1010 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1011 // complex_N_d | 2 | 6 | 8 | 12 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1012 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1013 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1014 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1015
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
1016 // FIXME -- these functions need to be fixed so that things
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1017 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1018 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1019 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1020 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1021 // and
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1022 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1023 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1024 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1025 // produce identical results. Also, it would be nice if -1^0.5
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1026 // produced a pure imaginary result instead of a complex number with a
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1027 // small real part. But perhaps that's really a problem with the math
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1028 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1029
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1030 // -*- 1 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1031 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1032 elem_xpow (double a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1033 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1034 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1035
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1036 double d1, d2;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1037
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1038 if (a < 0.0 && ! b.all_integers (d1, d2))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1039 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1040 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1041 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1042 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1043 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1044 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1045 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1046 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1047
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1048 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1049 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1050 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1051 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1052 NDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1053 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1054 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1055 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1056 result (i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1057 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1058
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1059 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1060 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1061
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1062 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1063 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1064
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1065 // -*- 2 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1066 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1067 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1068 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1069 ComplexNDArray result (b.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1070 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1071
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1072 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1073 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1074 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1075 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1076 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1077
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1078 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1079 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1080
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1081 // -*- 3 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1082 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1083 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1084 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1085 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1086
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1087 if (! xisint (b))
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1088 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1089 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1090 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1091 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1092
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1093 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1094 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1095 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1096
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1097 Complex atmp (a (i));
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1098
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1099 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1100 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1101
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1102 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1103 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1104 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1105 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1106 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1107 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1108 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1109 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1110 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1111 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1112
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1113 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1114 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1115 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1116 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1117 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1118 NDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1119
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1120 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1121 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1122 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1123 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1124 result.xelem (i) = a(i) * a(i);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1125 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1126 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1127 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1128 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1129 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1130 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1131 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1132 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1133 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1134
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1135 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1136 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1137
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1138 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1139 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1140
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1141 // -*- 4 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1142 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1143 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1144 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1145 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1146
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1147 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1148 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1149
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1150 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1151 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1152 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1153 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1154 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1155
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1156 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1157
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1158 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1159
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1160 for (octave_idx_type i = 0; i < len; i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1161 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1162 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1163 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1164 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1165 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1166 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1167 convert_to_complex = true;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1168 goto done;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1169 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1170 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1171
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1172 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1173
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1174 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1175 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1176 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1177
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1178 for (octave_idx_type i = 0; i < len; i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1179 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1180 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1181 Complex atmp (a(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1182 Complex btmp (b(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1183 complex_result(i) = std::pow (atmp, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1184 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1185
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1186 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1187 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1188 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1189 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1190 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1191
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1192 for (octave_idx_type i = 0; i < len; i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1193 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1194 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1195 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1196 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1197
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1198 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1199 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1200
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1201 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1202 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1203
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1204 // -*- 5 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1205 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1206 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1207 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1208 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1209
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1210 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1211 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1212 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1213 result(i) = std::pow (Complex (a(i)), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1214 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1215
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1216 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1217 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1218
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1219 // -*- 6 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1220 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1221 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1222 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1223 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1224 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1225
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1226 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1227 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1228 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1229 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1230 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1231
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1232 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1233
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1234 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1235 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1236 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1237 result(i) = std::pow (Complex (a(i)), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1238 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1239
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1240 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1241 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1242
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1243 // -*- 7 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1244 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1245 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1246 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1247 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1248
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1249 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1250 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1251 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1252 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1253 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1254 result(i) = std::pow (a, static_cast<int> (btmp));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1255 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1256 result(i) = std::pow (a, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1257 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1258
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1259 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1260 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1261
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1262 // -*- 8 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1263 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1264 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1265 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1266 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1267
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1268 for (octave_idx_type i = 0; i < b.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1269 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1270 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1271 result(i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1272 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1273
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1274 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1275 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1276
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1277 // -*- 9 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1278 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1279 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1280 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1281 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1282
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1283 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1284 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1285 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1286 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1287 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1288 result(i) = std::pow (a(i), static_cast<int> (b));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1289 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1290 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1291 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1292 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1293 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1294 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1295 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1296 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1297 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1298 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1299
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1300 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1301 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1302
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1303 // -*- 10 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1304 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1305 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1306 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1307 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1308 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1309
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1310 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1311 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1312 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1313 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1314 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1315
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1316 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1317
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1318 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1319 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1320 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1321 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1322 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1323 result(i) = std::pow (a(i), static_cast<int> (btmp));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1324 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1325 result(i) = std::pow (a(i), btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1326 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1327
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1328 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1329 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1330
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1331 // -*- 11 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1332 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1333 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1334 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1335 ComplexNDArray result (a.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1336
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1337 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1338 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1339 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1340 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1341 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1342
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1343 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1344 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1345
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1346 // -*- 12 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1347 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1348 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1349 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1350 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1351 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1352
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1353 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1354 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1355 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1356 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1357 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1358
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1359 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1360
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1361 for (octave_idx_type i = 0; i < a.length (); i++)
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1362 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1363 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1364 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1365 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1366
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1367 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1368 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1369
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1370 static inline int
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1371 xisint (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1372 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1373 return (D_NINT (x) == x
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1374 && ((x >= 0 && x < INT_MAX)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1375 || (x <= 0 && x > INT_MIN)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1376 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1377
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1378 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1379 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1380 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1381 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1382 // scalar | | 1 | 5 | 7 | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1383 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1384 // matrix | 2 | * | 8 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1385 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1386 // complex_scalar | 3 | 6 | 9 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1387 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1388 // complex_matrix | 4 | * | 10 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1389 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1390
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1391 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1392 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1393 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1394 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1395 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1396
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1397 if (a < 0.0 && ! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1398 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1399 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1400
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1401 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1402 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1403 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1404 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1405
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1406 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1407 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1408
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1409 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1410 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1411 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1412 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1413 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1414
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1415 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1416 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1417
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1418 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1419 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1420 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1421 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1422 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1423
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1424 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1425 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1426 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1427 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1428
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1429 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1430 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1431 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1432 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1433 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1434 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1435 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1436 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1437 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1438
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1439 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1440 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1441 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1442 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1443 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1444
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1445 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1446 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1447
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1448 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1449 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1450 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1451 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1452 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1453 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1454 result = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1455 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1456 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1457
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1458 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1459 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1460 xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1461 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1462 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1463
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1464 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1465 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1466
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1467 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1468 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1469 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1470 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1471 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1472
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1473 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1474 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1475 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1476 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1477
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1478 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1479 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1480 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1481 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1482 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1483 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1484 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1485 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1486 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1487
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1488 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1489 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1490 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1491 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1492 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1493
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1494 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1495 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1496
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1497 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1498 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1499 xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1500 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1501 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1502
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1503 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1504 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1505
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1506 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1507 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1508 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1509 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1510 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1511 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1512 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1513 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1514 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1515 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1516 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1517 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1518 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1519 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1520 // FIXME -- we shouldn't do this if the exponent is
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1521 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1522
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1523 FloatMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1524 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1525 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1526 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1527
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1528 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1529 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1530 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1531
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1532 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1533
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1534 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1535 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1536 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1537 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1538 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1539 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1540
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1541 FloatMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1542
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1543 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1544
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1545 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1546 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1547 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1548 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1549
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1550 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1551
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1552 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1553 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1554 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1556 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1557 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1558 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1559 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1560 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1561 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1562
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1563 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1564 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1565 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1566 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1567
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1568 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1569 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1570
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1571 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1572
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1573 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1574 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1575 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1576 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1577 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1578 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1579
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1580 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1581 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1582
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1583 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1584 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1585 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1586 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1587 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1588
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1589 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1590 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1591
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1592 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1593 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1594 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1595 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1596 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1597 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1598 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1599 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1600 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1601 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1602 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1603 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1604 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1605 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1606 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1607 r(i, i) = std::pow (static_cast<FloatComplex> (a(i, i)), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1608 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1609 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1610 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1611
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1612 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1613 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1614
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1615 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1616 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1617 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1618 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1619 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1620
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1621 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1622 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1623
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1624 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1625 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1626 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1627 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1628 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1629
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1630 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1631 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1632 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1633 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1634
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1635 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1636 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1637
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1638 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1639
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1640 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1641 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1642 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1643 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1644 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1645
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1646 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1647 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1648
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1649 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1650 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1651 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1652 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1653 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1654
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1655 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1656 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1657 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1658 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1659
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1660 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1661 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1662
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1663 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1664 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1665 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1666 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1667 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1668
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1669 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1670 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1671
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1672 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1673 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1674 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1675 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1676 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1677
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1678 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1679 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1680 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1681 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1682
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1683 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1684 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1685 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1686 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1687 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1688 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1689 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1690 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1691 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1692
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1693 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1694 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1695 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1696 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1697 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1698
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1699 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1700 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1701
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1702 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1703 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1704 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1705 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1706 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1707 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1708 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1709 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1710
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1711 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1712 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1713 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1714 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1715 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1716
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1717 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1718 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1719
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1720 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1721 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1722 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1723 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1724 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1725
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1726 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1727 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1728 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1729 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1730
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1731 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1732 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1733 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1734 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1735 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1736 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1737 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1738 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1739 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1740
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1741 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1742 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1743 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1744 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1745 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1746
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1747 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1748 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1749
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1750 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1751 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1752 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1753 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1754 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1755
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1756 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1757 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1758
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1759 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1760 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1761 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1762 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1763 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1764 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1765 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1766 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1767 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1768 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1769 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1770 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1771 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1772 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1773 // FIXME -- we shouldn't do this if the exponent is
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1774 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1775
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1776 FloatComplexMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1777 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1778 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1779 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1780
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1781 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1782 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1783 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1784
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1785 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1786
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1787 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1788 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1789 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1790 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1791 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1792 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1793
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1794 FloatComplexMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1795
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1796 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1797
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1798 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1799 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1800 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1801 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1802
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1803 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1804
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1805 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1806 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1807 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1808
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1809 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1810 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1811 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1812 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1813 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1814 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1815
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1816 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1817 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1818 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1819 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1820
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1821 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1822 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1823
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1824 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1825
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1826 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1827 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1828 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1829 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1830 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1831 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1832
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1833 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1834 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1835
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1836 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1837 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1838 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1839 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1840 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1841
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1842 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1843 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1844
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1845 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1846 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1847 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1848 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1849 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1850
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1851 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1852 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1853 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1854 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1855
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1856 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1857 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1858
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1859 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1860
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1861 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1862 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1863 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1864 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1865 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1866
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1867 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1868 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1869
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1870 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1871 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1872 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1873 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1874 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1875
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1876 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1877 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1878
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1879 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1880 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1881 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1882 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1883 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1884 for (octave_idx_type i = 0; i < nc; i++)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1885 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1886 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1887 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1888
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1889 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1890 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1891
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1892 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1893 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1894 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1895 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1896 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1897 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1898
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1899 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1900 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1901 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1902 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1903 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1904
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1905 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1906 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1907 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1908 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1909 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1910 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1911 // matrix | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1912 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1913 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1914 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1915 // complex_matrix | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1916 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1917 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1918 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1919
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1920 // FIXME -- these functions need to be fixed so that things
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1921 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1922 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1923 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1924 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1925 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1926 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1927 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1928 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1929 // produce identical results. Also, it would be nice if -1^0.5
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1930 // produced a pure imaginary result instead of a complex number with a
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1931 // small real part. But perhaps that's really a problem with the math
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1932 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1933
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1934 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1935 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1936 elem_xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1937 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1938 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1939
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1940 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1941 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1942
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1943 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1944
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1945 if (a < 0.0 && ! b.all_integers (d1, d2))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1946 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1947 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1948 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1949
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1950 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1951 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1952 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1953 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1954 result (i, j) = std::pow (atmp, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1955 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1956
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1957 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1958 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1959 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1960 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1961 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1962
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1963 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1964 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1965 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1966 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1967 result (i, j) = std::pow (a, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1968 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1969
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1970 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1971 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1972
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1973 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1974 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1975
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1976 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1977 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1978 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1979 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1980 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1981 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1982
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1983 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1984 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1985
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1986 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1987 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1988 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1989 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1990 result (i, j) = std::pow (atmp, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1991 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1992
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1993 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1994 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1995
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1996 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1997 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1998 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1999 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2000 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2001
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2002 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2003 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2004
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2005 if (! xisint (b) && a.any_element_is_negative ())
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2006 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2007 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2008
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2009 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2010 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2011 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2012 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2013
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2014 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2015
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2016 result (i, j) = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2017 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2018
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2019 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2020 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2021 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2022 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2023 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2024
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2025 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2026 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2027 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2028 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2029 result (i, j) = std::pow (a (i, j), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2030 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2031
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2032 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2033 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2034
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2035 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2036 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2037
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2038 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2039 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2040 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2041 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2042 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2043
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2044 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2045 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2046
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2047 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2048 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2049
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2050 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2051 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2052 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2053 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2054 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2055
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2056 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2057 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2058 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2059 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2060 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2061 float atmp = a (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2062 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2063 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2064 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2065 convert_to_complex = 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2066 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2067 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2068 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2069
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2070 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2071
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2072 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2073 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2074 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2075
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2076 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2077 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2078 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2079 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2080 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2081 FloatComplex btmp (b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2082 complex_result (i, j) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2083 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2084
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2085 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2086 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2087 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2088 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2089 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2090
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2091 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2092 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2093 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2094 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2095 result (i, j) = std::pow (a (i, j), b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2096 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2097
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2098 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2099 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2100
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2101 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2102 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2103
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2104 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2105 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2106 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2107 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2108 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2109 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2110
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2111 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2112
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2113 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2114 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2115 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2116 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2117 result (i, j) = std::pow (FloatComplex (a (i, j)), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2118 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2119
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2120 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2121 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2122
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2123 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2124 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2125 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2126 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2127 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2128 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2129
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2130 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2131 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2132
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2133 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2134 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2135 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2136 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2137 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2138
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2139 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2140
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2141 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2142 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2143 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2144 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2145 result (i, j) = std::pow (FloatComplex (a (i, j)), b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2146 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2147
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2148 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2149 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2150
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2151 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2152 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2153 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2154 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2155 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2156 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2157
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2158 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2159
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2160 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2161 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2162 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2163 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2164 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2165 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2166 result (i, j) = std::pow (a, static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2167 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2168 result (i, j) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2169 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2170
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2171 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2172 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2173
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2174 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2175 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2176 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2177 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2178 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2179 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2180
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2181 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2182
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2183 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2184 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2185 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2186 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2187 result (i, j) = std::pow (a, b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2188 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2189
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2190 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2191 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2192
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2193 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2194 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2195 elem_xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2196 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2197 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2198 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2199
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2200 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2201
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2202 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2203 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2204 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2205 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2206 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2207 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2208 result (i, j) = std::pow (a (i, j), static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2209 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2210 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2211 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2212 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2213 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2214 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2215 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2216 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2217 result (i, j) = std::pow (a (i, j), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2218 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2219 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2220
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2221 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2222 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2223
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2224 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2225 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2226 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2227 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2228 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2229 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2230
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2231 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2232 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2233
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2234 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2235 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2236 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2237 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2238 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2239
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2240 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2241
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2242 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2243 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2244 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2245 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2246 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2247 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2248 result (i, j) = std::pow (a (i, j), static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2249 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2250 result (i, j) = std::pow (a (i, j), btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2251 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2252
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2253 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2254 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2255
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2256 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2257 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2258 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2259 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2260 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2261 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2262
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2263 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2264
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2265 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2266 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2267 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2268 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2269 result (i, j) = std::pow (a (i, j), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2270 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2271
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2272 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2273 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2274
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2275 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2276 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2277 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2278 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2279 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2280 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2281
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2282 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2283 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2284
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2285 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2286 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2287 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2288 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2289 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2290
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2291 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2292
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2293 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2294 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2295 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2296 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2297 result (i, j) = std::pow (a (i, j), b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2298 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2299
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2300 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2301 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2302
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2303 // Safer pow functions that work elementwise for N-d arrays.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2304 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2305 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2306 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2307 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2308 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2309 // N_d | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2310 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2311 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2312 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2313 // complex_N_d | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2314 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2315 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2316 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2317
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2318 // FIXME -- these functions need to be fixed so that things
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2319 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2320 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2321 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2322 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2323 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2324 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2325 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2326 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2327 // produce identical results. Also, it would be nice if -1^0.5
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2328 // produced a pure imaginary result instead of a complex number with a
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2329 // small real part. But perhaps that's really a problem with the math
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2330 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2331
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2332 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2333 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2334 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2335 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2336 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2337
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2338 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2339
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2340 if (a < 0.0 && ! b.all_integers (d1, d2))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2341 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2342 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2343 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2344 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2345 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2346 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2347 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2348 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2349
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2350 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2351 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2352 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2353 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2354 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2355 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2356 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2357 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2358 result (i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2359 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2360
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2361 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2362 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2363
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2364 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2365 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2366
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2367 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2368 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2369 elem_xpow (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2370 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2371 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2372 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2373
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2374 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2375 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2376 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2377 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2378 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2379
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2380 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2381 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2382
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2383 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2384 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2385 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2386 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2387 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2388
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2389 if (! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2390 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2391 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2392 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2393 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2394
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2395 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2396 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2397 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2398
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2399 FloatComplex atmp (a (i));
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2400
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2401 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2402 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2403
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2404 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2405 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2406 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2407 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2408 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2409 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2410 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2411 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2412 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2413 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2414
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2415 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2416 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2417 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2418 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2419 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2420 FloatNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2421
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2422 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2423 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2424 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2425 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2426 result.xelem (i) = a(i) * a(i);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2427 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2428 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2429 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2430 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2431 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2432 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2433 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2434 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2435 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2436
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2437 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2438 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2439
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2440 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2441 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2442
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2443 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2444 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2445 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2446 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2447 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2448
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2449 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2450 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2451
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2452 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2453 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2454 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2455 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2456 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2457
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2458 int len = a.length ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2459
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2460 bool convert_to_complex = false;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2461
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2462 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2463 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2464 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2465 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2466 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2467 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2468 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2469 convert_to_complex = true;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2470 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2471 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2472 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2473
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2474 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2475
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2476 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2477 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2478 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2479
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2480 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2481 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2482 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2483 FloatComplex atmp (a(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2484 FloatComplex btmp (b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2485 complex_result(i) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2486 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2487
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2488 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2489 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2490 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2491 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2492 FloatNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2493
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2494 for (octave_idx_type i = 0; i < len; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2495 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2496 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2497 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2498 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2499
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2500 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2501 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2502
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2503 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2504 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2505
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2506 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2507 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2508 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2509 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2510 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2511
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2512 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2513 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2514 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2515 result(i) = std::pow (FloatComplex (a(i)), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2516 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2517
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2518 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2519 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2520
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2521 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2522 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2523 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2524 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2525 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2526 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2527
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2528 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2529 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2530 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2531 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2532 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2533
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2534 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2535
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2536 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2537 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2538 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2539 result(i) = std::pow (FloatComplex (a(i)), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2540 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2541
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2542 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2543 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2544
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2545 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2546 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2547 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2548 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2549 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2550
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2551 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2552 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2553 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2554 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2555 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2556 result(i) = std::pow (a, static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2557 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2558 result(i) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2559 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2560
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2561 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2562 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2563
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2564 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2565 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2566 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2567 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2568 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2569
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2570 for (octave_idx_type i = 0; i < b.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2571 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2572 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2573 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2574 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2575
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2576 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2577 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2578
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2579 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2580 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2581 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2582 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2583 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2584
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2585 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2586 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2587 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2588 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2589 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2590 result(i) = std::pow (a(i), static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2591 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2592 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2593 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2594 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2595 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2596 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2597 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2598 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2599 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2600 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2601
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2602 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2603 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2604
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2605 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2606 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2607 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2608 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2609 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2610 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2611
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2612 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2613 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2614 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2615 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2616 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2617
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2618 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2619
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2620 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2621 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2622 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2623 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2624 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2625 result(i) = std::pow (a(i), static_cast<int> (btmp));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2626 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2627 result(i) = std::pow (a(i), btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2628 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2629
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2630 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2631 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2632
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2633 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2634 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2635 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2636 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2637 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2638
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2639 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2640 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2641 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2642 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2643 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2644
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2645 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2646 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2647
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2648 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2649 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2650 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2651 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2652 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2653 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2654
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2655 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2656 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2657 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2658 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2659 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2660
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2661 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2662
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2663 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2664 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2665 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2666 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2667 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2668
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2669 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2670 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2671
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2672 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2673 ;;; Local Variables: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2674 ;;; mode: C++ ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2675 ;;; End: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2676 */