annotate src/xpow.cc @ 10160:cd96d29c5efa

remove Emacs local-variable settings from source files in src directory
author John W. Eaton <jwe@octave.org>
date Wed, 20 Jan 2010 20:39:26 -0500
parents 1b883ce66707
children 57a59eae83cc
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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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
1
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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
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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 "Range.h"
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45 #include "quit.h"
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46
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47 #include "error.h"
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48 #include "oct-obj.h"
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49 #include "utils.h"
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50 #include "xpow.h"
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51
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52 #ifdef _OPENMP
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53 #include <omp.h>
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54 #endif
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55
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56 static inline int
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57 xisint (double x)
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58 {
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59 return (D_NINT (x) == x
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60 && ((x >= 0 && x < INT_MAX)
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61 || (x <= 0 && x > INT_MIN)));
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62 }
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63
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64 // Safer pow functions.
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65 //
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66 // op2 \ op1: s m cs cm
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67 // +-- +---+---+----+----+
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68 // scalar | | 1 | 5 | 7 | 11 |
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69 // +---+---+----+----+
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70 // matrix | 2 | * | 8 | * |
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71 // +---+---+----+----+
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72 // complex_scalar | 3 | 6 | 9 | 12 |
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73 // +---+---+----+----+
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74 // complex_matrix | 4 | * | 10 | * |
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75 // +---+---+----+----+
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76
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77 // -*- 1 -*-
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78 octave_value
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79 xpow (double a, double b)
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80 {
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81 double retval;
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82
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83 if (a < 0.0 && ! xisint (b))
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84 {
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85 Complex atmp (a);
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86
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87 return std::pow (atmp, b);
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88 }
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89 else
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90 retval = std::pow (a, b);
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91
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92 return retval;
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93 }
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94
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95 // -*- 2 -*-
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96 octave_value
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97 xpow (double a, const Matrix& b)
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98 {
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99 octave_value retval;
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100
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101 octave_idx_type nr = b.rows ();
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102 octave_idx_type nc = b.cols ();
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103
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104 if (nr == 0 || nc == 0 || nr != nc)
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105 error ("for x^A, A must be square");
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106 else
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107 {
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108 EIG b_eig (b);
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109
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110 if (! error_state)
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111 {
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112 ComplexColumnVector lambda (b_eig.eigenvalues ());
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113 ComplexMatrix Q (b_eig.eigenvectors ());
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114
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115 for (octave_idx_type i = 0; i < nr; i++)
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116 {
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117 Complex elt = lambda(i);
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118 if (std::imag (elt) == 0.0)
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119 lambda(i) = std::pow (a, std::real (elt));
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120 else
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121 lambda(i) = std::pow (a, elt);
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122 }
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123 ComplexDiagMatrix D (lambda);
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124
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125 retval = ComplexMatrix (Q * D * Q.inverse ());
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126 }
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127 else
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128 error ("xpow: matrix diagonalization failed");
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129 }
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130
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131 return retval;
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132 }
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133
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134 // -*- 3 -*-
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135 octave_value
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136 xpow (double a, const Complex& b)
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137 {
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138 Complex result = std::pow (a, b);
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139 return result;
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140 }
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141
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142 // -*- 4 -*-
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143 octave_value
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144 xpow (double a, const ComplexMatrix& b)
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145 {
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146 octave_value retval;
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147
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148 octave_idx_type nr = b.rows ();
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149 octave_idx_type nc = b.cols ();
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150
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151 if (nr == 0 || nc == 0 || nr != nc)
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152 error ("for x^A, A must be square");
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153 else
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154 {
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155 EIG b_eig (b);
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156
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parents: 7543
diff changeset
157 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
158 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
159 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
160 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
161
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
162 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
163 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
164 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
165 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
166 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
167 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
168 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
169 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
170 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
171
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
172 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
173 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
174 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
175 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
176 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
179 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
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180
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
181 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
182 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
183 xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
184 {
2086
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parents: 1996
diff changeset
185 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
186
5275
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jwe
parents: 5260
diff changeset
187 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
188 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
189
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
190 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
191 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
192 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
193 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
194 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
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195 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
196 int btmp = static_cast<int> (b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
197 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
198 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
199 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
200 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
201 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
202 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
203 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
204 // FIXME -- we shouldn't do this if the exponent is
1567
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jwe
parents: 1358
diff changeset
205 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
206
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
207 Matrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
208 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
209 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
210 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
211
5275
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jwe
parents: 5260
diff changeset
212 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
213 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
214 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
215
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
216 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
217
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
218 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
219 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
220 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
221 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
222 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
223 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
224
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
225 Matrix result (atmp);
3178
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
226
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
227 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
228
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
229 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
230 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
231 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
232 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
233
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
234 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
235
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
236 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
237 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
238 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
239
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
240 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
241 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
242 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
243 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
244 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
245 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
246
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
247 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
248 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
249 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
250 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
251
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
252 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
253 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
254
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
255 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
256
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
257 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
258 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
259 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
260 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
261 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
262 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
263
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
264 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
265 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
266
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
267 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
268 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
269 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
270 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
271 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
272
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
273 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
274 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
275
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
276 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
277 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
278 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
279 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
280 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
281 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
282 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
283 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
284 r(i, i) = std::pow (a(i, i), b);
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
285 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
286 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
287 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
288 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
289 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
290 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
291 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
292 retval = r;
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
293 }
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
294 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
295
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
296 return retval;
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
297 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
298
8958
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
299 // -*- 5p -*-
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
300 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
301 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
302 {
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
303 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
304 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
305 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
306 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
307 else
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
308 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
309 }
6ccc12cc65ef implement raising a permutation matrix to integer power
Jaroslav Hajek <highegg@gmail.com>
parents: 8920
diff changeset
310
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
311 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
312 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
313 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
314 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
315 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
316
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
317 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
318 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
319
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
320 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
321 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
322 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
323 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
324 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
325
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
326 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
327 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
328 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
329 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
330
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
331 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
332 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
333
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
334 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
335
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
336 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
337 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
338 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
339 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
340 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
343 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
344
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
345 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
346 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
347 xpow (const Complex& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
348 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
349 Complex result;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
350
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
351 if (xisint (b))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
352 result = std::pow (a, static_cast<int> (b));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
353 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
354 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
355
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
356 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
357 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
358
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
359 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
360 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
361 xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
362 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
363 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
364
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
365 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
366 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
367
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
368 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
369 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
370 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
371 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
372 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
373
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
374 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
375 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
376 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
377 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
378
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
379 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
380 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
381 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
382 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
383 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
384 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
385 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
386 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
387 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
388
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
389 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
390 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
391 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
392 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
393 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
396 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
397
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
398 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
399 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
400 xpow (const Complex& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
401 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
402 Complex result;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
403 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
404 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
405 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
406
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
407 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
408 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
409 xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
410 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
411 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
412
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
413 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
414 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
415
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
416 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
417 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
418 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
419 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
420 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
421
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
422 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
423 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
424 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
425 ComplexMatrix Q (b_eig.eigenvectors ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
426
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
427 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
428 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
429 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
430 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
431 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
432 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
433 lambda(i) = std::pow (a, elt);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
434 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
435 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
436
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
437 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
438 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
439 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
440 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
441 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
444 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
445
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
446 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
447 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
448 xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
449 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
450 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
451
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
452 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
453 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
454
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
455 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
456 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
457 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
458 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
459 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
460 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
461 int btmp = static_cast<int> (b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
462 if (btmp == 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
463 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
464 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
465 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
466 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
467 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
468 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
469 // 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
470 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
471
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
472 ComplexMatrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
473 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
474 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
475 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
476
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
477 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
478 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
479 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
480
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
481 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
482
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
483 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
484 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
485 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
486 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
487 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
488 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
489
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
490 ComplexMatrix result (atmp);
3178
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
491
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
492 btmp--;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
493
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
494 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
495 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
496 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
497 result = result * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
498
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
499 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
500
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
501 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
502 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
503 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
504
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
505 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
506 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
507 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
508 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
509 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
510 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
511
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
512 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
513 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
514 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
515 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
516
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
517 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
518 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
519
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
520 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
521
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
522 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
523 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
524 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
525 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
526 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
527 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
528
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
529 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
530 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
531
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
532 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
533 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
534 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
535 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
536 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
537
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
538 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
539 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
540
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
541 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
542 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
543 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
544 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
545 EIG a_eig (a);
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
546
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
547 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
548 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
549 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
550 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
551
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
552 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
553 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
554
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
555 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
556
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
557 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
558 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
559 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
560 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
561 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
564 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
565
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
566 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
567 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
568 xpow (const ComplexDiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
569 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
570 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
571
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
572 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
573 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
574
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
575 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
576 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
577 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
578 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
579 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
580 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
581 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
582 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
583 }
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 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
586 }
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 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
589 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
590 xpow (const ComplexDiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
591 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
592 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
593 }
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 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
596 xpow (const DiagMatrix& a, const Complex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
597 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
598 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
599 }
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
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
602 // Safer pow functions that work elementwise for matrices.
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
603 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
604 // op2 \ op1: s m cs cm
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
605 // +-- +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
606 // scalar | | * | 3 | * | 9 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
607 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
608 // matrix | 1 | 4 | 7 | 10 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
609 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
610 // complex_scalar | * | 5 | * | 11 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
611 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
612 // complex_matrix | 2 | 6 | 8 | 12 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
613 // +---+---+----+----+
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 // * -> not needed.
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
616
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
617 // 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
618 // like
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
619 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
620 // 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
621 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
622 // and
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
623 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
624 // 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
625 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
626 // 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
627 // 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
628 // 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
629 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
630
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
631 // -*- 1 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
632 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
633 elem_xpow (double a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
634 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
635 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
636
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
637 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
638 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
639
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
640 double d1, d2;
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
641
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
642 if (a < 0.0 && ! b.all_integers (d1, d2))
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
643 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
644 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
645 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
646
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
647 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
648 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
649 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
650 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
651 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
652 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
653
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
654 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
655 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
656 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
657 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
658 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
659
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
660 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
661 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
662 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
663 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
664 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
665 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
666
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
667 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
668 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
671 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
672
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
673 // -*- 2 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
674 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
675 elem_xpow (double a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
676 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
677 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
678 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
679
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
680 ComplexMatrix result (nr, nc);
3125
dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe]
jwe
parents: 2847
diff changeset
681 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
682
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
683 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
684 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
685 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
686 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
687 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
688 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
689
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
690 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
691 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
692
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
693 static inline bool
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
694 same_sign (double a, double b)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
695 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
696 return (a >= 0 && b >= 0) || (a <= 0 && b <= 0);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
697 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
698
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
699 octave_value
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
700 elem_xpow (double a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
701 {
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
702 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
703
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
704 // Only optimize powers with ranges that are integer and monotonic in
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
705 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
706 if (r.nelem () > 1 && r.all_elements_are_ints ()
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
707 && same_sign (r.base (), r.limit ()))
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
708 {
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
709 octave_idx_type n = r.nelem ();
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
710 Matrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
711 if (same_sign (r.base (), r.inc ()))
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
712 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
713 double base = std::pow (a, r.base ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
714 double inc = std::pow (a, r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
715 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
716 for (octave_idx_type i = 1; i < n; i++)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
717 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
718 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
719 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
720 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
721 // Don't use Range::limit () here.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
722 double limit = std::pow (a, r.base () + (n-1) * r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
723 double inc = std::pow (a, -r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
724 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
725 for (octave_idx_type i = n-2; i >= 0; i--)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
726 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
727 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
728
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
729 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
730 }
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
731 else
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
732 retval = elem_xpow (a, r.matrix_value ());
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
733
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
734 return retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
735 }
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
736
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
737 // -*- 3 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
738 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
739 elem_xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
740 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
741 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
742
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
743 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
744 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
745
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
746 if (! xisint (b) && a.any_element_is_negative ())
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
747 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
748 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
749
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
750 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
751 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
752 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
753 octave_quit ();
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
754
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
755 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
756
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
757 result (i, j) = std::pow (atmp, b);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
758 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
759
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
760 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
761 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
762 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
763 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
764 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
765
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
766 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
767 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
768 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
769 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
770 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
771 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
772
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
773 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
774 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
775
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
776 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
777 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
778
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
779 // -*- 4 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
780 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
781 elem_xpow (const Matrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
782 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
783 octave_value retval;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
784
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
785 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
786 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
787
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
788 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
789 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
790
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
791 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
792 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
793 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
794 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
795 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
796
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
797 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
798 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
799 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
800 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
801 octave_quit ();
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
802 double atmp = a (i, j);
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
803 double btmp = b (i, j);
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
804 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
805 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
806 convert_to_complex = 1;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
807 goto done;
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 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
810
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
811 done:
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
812
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
813 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
814 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
815 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
816
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
817 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
818 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
819 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
820 octave_quit ();
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
821 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
822 Complex btmp (b (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
823 complex_result (i, j) = std::pow (atmp, btmp);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
824 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
825
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
826 retval = complex_result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
827 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
828 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
829 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
830 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
831
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
832 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
833 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
834 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
835 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
836 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
837 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
838
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
839 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
840 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
841
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
842 return retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
843 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
844
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
845 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
846 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
847 elem_xpow (const Matrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
848 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
849 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
850 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
851
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
852 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
853
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
854 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
855 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
856 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
857 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
858 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
859 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
860
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
861 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
862 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
863
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
864 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
865 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
866 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
867 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
868 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
869 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
870
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
871 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
872 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
873
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
874 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
875 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
876 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
877 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
878 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
879
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
880 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
881
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
882 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
883 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
884 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
885 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
886 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
887 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
888
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
889 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
890 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
891
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
892 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
893 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
894 elem_xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
895 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
896 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
897 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
898
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
899 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
900
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
901 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
902 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
903 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
904 octave_quit ();
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
905 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
906 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
907 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
908 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
909 result (i, j) = std::pow (a, btmp);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
910 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
911
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
912 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
913 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
914
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
915 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
916 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
917 elem_xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
918 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
919 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
920 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
921
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
922 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
923
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
924 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
925 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
926 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
927 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
928 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
929 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
930
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
931 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
932 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
933
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
934 octave_value
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
935 elem_xpow (const Complex& a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
936 {
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
937 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
938
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
939 // Only optimize powers with ranges that are integer and monotonic in
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
940 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
941 if (r.nelem () > 1 && r.all_elements_are_ints ()
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
942 && same_sign (r.base (), r.limit ()))
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
943 {
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
944 octave_idx_type n = r.nelem ();
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
945 ComplexMatrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
946
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
947 if (same_sign (r.base (), r.inc ()))
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
948 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
949 Complex base = std::pow (a, r.base ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
950 Complex inc = std::pow (a, r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
951 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
952 for (octave_idx_type i = 1; i < n; i++)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
953 result(i) = (base *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
954 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
955 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
956 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
957 // Don't use Range::limit () here.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
958 Complex limit = std::pow (a, r.base () + (n-1) * r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
959 Complex inc = std::pow (a, -r.inc ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
960 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
961 for (octave_idx_type i = n-2; i >= 0; i--)
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
962 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
963 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
964
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
965 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
966 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
967 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
968 retval = elem_xpow (a, r.matrix_value ());
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
969
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
970
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
971 return retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
972 }
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
973
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
974 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
975 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
976 elem_xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
977 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
978 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
979 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
980
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
981 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
982
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
983 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
984 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
985 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
986 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
987 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
988 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
989 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
990 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
991 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
992 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
993 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
994 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
995 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
996 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
997 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
998 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
999 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1000 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1001
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1002 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1003 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1004
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
1005 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
1006 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
1007 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1008 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1009 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1010 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1011
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1012 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1013 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1014
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1015 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1016 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1017 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1018 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1019 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1020
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1021 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1022
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1023 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1024 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
1025 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1026 octave_quit ();
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
1027 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1028 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1029 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
1030 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1031 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
1032 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1033
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1034 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1035 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1036
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
1037 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
1038 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
1039 elem_xpow (const ComplexMatrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1040 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1041 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1042 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1043
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1044 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1045
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1046 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1047 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
1048 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1049 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1050 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
1051 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1052
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1053 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1054 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1055
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
1056 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
1057 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
1058 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1059 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1060 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1061 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1062
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1063 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1064 octave_idx_type b_nc = b.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1065
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1066 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1067 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1068 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1069 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1070 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1071
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1072 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1073
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1074 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1075 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
1076 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1077 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1078 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
1079 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1080
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1081 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1082 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1083
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1084 // 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
1085 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1086 // op2 \ op1: s nd cs cnd
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1087 // +-- +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1088 // scalar | | * | 3 | * | 9 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1089 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1090 // N_d | 1 | 4 | 7 | 10 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1091 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1092 // complex_scalar | * | 5 | * | 11 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1093 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1094 // complex_N_d | 2 | 6 | 8 | 12 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1095 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1096 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1097 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1098
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
1099 // 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
1100 // like
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1101 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1102 // 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
1103 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1104 // and
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1105 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1106 // 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
1107 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1108 // 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
1109 // 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
1110 // 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
1111 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1112
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1113 // -*- 1 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1114 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1115 elem_xpow (double a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1116 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1117 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1118
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1119 double d1, d2;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1120
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1121 if (a < 0.0 && ! b.all_integers (d1, d2))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1122 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1123 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1124 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1125 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
1126 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1127 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1128 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1129 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1130
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1131 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1132 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1133 else
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 NDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1136 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
1137 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1138 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1139 result (i) = std::pow (a, b(i));
4543
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1142 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1143 }
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 return 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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1148 // -*- 2 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1149 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1150 elem_xpow (double a, const ComplexNDArray& b)
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 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1153
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1154 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
1155 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1156 octave_quit ();
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
1157 result(i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1158 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1159
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1160 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1163 // -*- 3 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1164 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1165 elem_xpow (const NDArray& a, double b)
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 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1168
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1169 if (! xisint (b))
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1170 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1171 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1172 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1173 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1174
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1175 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1176 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1177 octave_quit ();
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1178
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1179 Complex atmp (a (i));
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1180
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1181 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1182 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1183
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1184 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1185 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1186 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1187 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1188 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1189 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1190 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1191 octave_quit ();
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1192 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1193 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1194
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1195 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1196 }
4543
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 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1199 {
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1200 NoAlias<NDArray> result (a.dims ());
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1201
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1202 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1203 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1204 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1205 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1206 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1207 }
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1208 else if (ib == 3)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1209 {
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1210 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1211 result(i) = a(i) * a(i) * a(i);
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1212 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1213 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1214 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1215 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1216 result(i) = 1.0 / a(i);
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1217 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1218 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1219 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1220 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1221 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1222 octave_quit ();
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1223 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1224 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1225 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1226
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1227 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1228 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1229
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1230 return retval;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1233 // -*- 4 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1234 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1235 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1236 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1237 octave_value retval;
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1240 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1243 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1244 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1245 return octave_value ();
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1248 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1249
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1250 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1251
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1252 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
1253 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1254 octave_quit ();
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1255 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1256 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1257 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
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 convert_to_complex = true;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1260 goto done;
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 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1263
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1264 done:
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 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1267 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1268 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1269
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1270 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
1271 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1272 octave_quit ();
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1273 Complex atmp (a(i));
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
1274 complex_result(i) = std::pow (atmp, b(i));
4543
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 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1278 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1279 else
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 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1282
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1283 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
1284 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1285 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1286 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1287 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1288
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1289 retval = result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1292 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1293 }
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 // -*- 5 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1296 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1297 elem_xpow (const NDArray& a, const Complex& b)
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 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1300
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1301 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
1302 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1303 octave_quit ();
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
1304 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1305 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1308 }
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 // -*- 6 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1311 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1312 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1313 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1314 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1315 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1316
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1317 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1318 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1319 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1320 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1321 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1322
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1323 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1324
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1325 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
1326 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1327 octave_quit ();
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
1328 result(i) = std::pow (a(i), b(i));
4543
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1332 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1333
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1334 // -*- 7 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1335 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1336 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1337 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1338 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1339
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1340 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
1341 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1342 octave_quit ();
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1343 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1344 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1345 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
1346 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1347 result(i) = std::pow (a, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1348 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1351 }
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 // -*- 8 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1354 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1355 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1356 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1357 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1358
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1359 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
1360 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1361 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1362 result(i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1363 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1364
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1365 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1368 // -*- 9 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1369 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1370 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1371 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1372 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1373
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1374 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1375 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1376 if (b == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1377 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1378 for (octave_idx_type i = 0; i < a.length (); i++)
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
1379 result.xelem (i) = 1.0 / a(i);
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1380 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1381 else
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1382 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1383 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1384 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1385 octave_quit ();
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1386 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1387 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1388 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1389 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1390 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1391 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1392 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
1393 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1394 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1395 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1396 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1397 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1398
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1399 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1400 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1401
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1402 // -*- 10 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1403 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1404 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1405 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1406 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1407 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1408
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1409 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1410 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1411 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1412 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1413 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1414
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1415 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1416
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1417 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
1418 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1419 octave_quit ();
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1420 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1421 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1422 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
1423 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1424 result(i) = std::pow (a(i), btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1425 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1426
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1427 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1428 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1429
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1430 // -*- 11 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1431 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1432 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1433 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1434 ComplexNDArray result (a.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1435
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1436 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
1437 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1438 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1439 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1440 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1441
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1442 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1443 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1444
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1445 // -*- 12 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1446 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1447 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1448 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1449 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1450 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1451
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1452 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1453 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1454 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1455 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1456 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1457
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1458 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1459
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1460 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
1461 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
1462 octave_quit ();
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1463 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1464 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1465
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1466 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1467 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1468
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1469 static inline int
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1470 xisint (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1471 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1472 return (D_NINT (x) == x
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1473 && ((x >= 0 && x < INT_MAX)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1474 || (x <= 0 && x > INT_MIN)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1475 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1476
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1477 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1478 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1479 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1480 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1481 // scalar | | 1 | 5 | 7 | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1482 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1483 // matrix | 2 | * | 8 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1484 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1485 // complex_scalar | 3 | 6 | 9 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1486 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1487 // complex_matrix | 4 | * | 10 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1488 // +---+---+----+----+
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 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1491 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1492 xpow (float a, float b)
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 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1495
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1496 if (a < 0.0 && ! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1497 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1498 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1499
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1500 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1501 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1502 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1503 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1504
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1505 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1506 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1507
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1508 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1509 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1510 xpow (float a, const FloatMatrix& 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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1513
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1514 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1515 octave_idx_type nc = b.cols ();
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 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1518 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1519 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1520 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1521 FloatEIG b_eig (b);
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 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1524 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1525 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1526 FloatComplexMatrix Q (b_eig.eigenvectors ());
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 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
1529 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1530 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1531 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1532 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1533 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1534 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1535 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1536 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1539 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1540 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1541 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1544 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1545 }
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 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1548 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1549 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1550 {
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
1551 FloatComplex result = std::pow (a, b);
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1552 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1553 }
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 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1556 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1557 xpow (float a, const FloatComplexMatrix& b)
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 octave_value retval;
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1562 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1563
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1564 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1565 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1566 else
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 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1569
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1570 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1571 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1572 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1573 FloatComplexMatrix Q (b_eig.eigenvectors ());
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 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
1576 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1577 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1578 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1579 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1580 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1581 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1582 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1583 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1584
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1585 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1586 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1587 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1588 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1589 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1590
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1591 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1592 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1593
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1594 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1595 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1596 xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1597 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1598 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1599
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1600 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1601 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1602
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1603 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1604 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1605 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1606 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1607 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1608 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1609 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1610 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1611 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1612 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1613 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1614 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1615 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1616 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1617 // 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
1618 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1619
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1620 FloatMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1621 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1622 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1623 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1624
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1625 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1626 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1627 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1628
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1629 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1630
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1631 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1632 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1633 precision, rcond = %g", rcond);
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1636 atmp = a;
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 FloatMatrix result (atmp);
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 btmp--;
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 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1643 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1644 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1645 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1646
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1647 btmp >>= 1;
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 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1650 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1651 }
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 retval = 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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1656 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1657 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1658 FloatEIG a_eig (a);
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 if (! error_state)
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 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1663 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1664
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1665 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
1666 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1667
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1668 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1669
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1670 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1673 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1674 }
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1677 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1678 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1679
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1680 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1681 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1682 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1683 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1684 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1685
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1686 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1687 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1688
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1689 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1690 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1691 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1692 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1693 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1694 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1695 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1696 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
1697 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
1698 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1699 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1700 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1701 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1702 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1703 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
1704 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
1705 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1706 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1707 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1708
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1709 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1710 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1711
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1712 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1713 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1714 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1715 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1716 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1717
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1718 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1719 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1720
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1721 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1722 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1723 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1724 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1725 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1726
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1727 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1728 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1729 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1730 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1731
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1732 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
1733 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1734
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1735 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1736
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1737 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1740 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1741 }
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 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1744 }
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 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1747 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1748 xpow (const FloatComplex& a, float b)
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 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1751
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1752 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1753 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1754 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1755 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1756
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1757 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1760 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1761 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1762 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1763 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1764 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1765
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1766 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1767 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1768
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1769 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1770 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1771 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1772 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1773 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1774
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1775 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1776 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1777 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1778 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1779
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1780 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
1781 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1782 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1783 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1784 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1785 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1786 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1787 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1788 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1790 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1791 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1792 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1793 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1794 }
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 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1799 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1800 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1801 xpow (const FloatComplex& a, const FloatComplex& b)
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 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1804 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1805 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1806 }
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 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1809 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1810 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
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 octave_value retval;
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1815 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1816
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1817 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1818 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1819 else
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 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1822
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1823 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1824 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1825 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1826 FloatComplexMatrix Q (b_eig.eigenvectors ());
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 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
1829 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1830 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1831 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1832 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1833 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1834 lambda(i) = std::pow (a, elt);
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 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1837
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1838 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1841 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1842 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1843
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1844 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1845 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1846
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1847 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1848 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1849 xpow (const FloatComplexMatrix& a, float b)
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 octave_value retval;
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1854 octave_idx_type nc = a.cols ();
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 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1857 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1858 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1859 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1860 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1861 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1862 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1863 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1864 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1865 retval = FloatDiagMatrix (nr, nr, 1.0);
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 else
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 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1870 // 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
1871 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1872
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1873 FloatComplexMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1874 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1875 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1876 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1877
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1878 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1879 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1880 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1881
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1882 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1883
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1884 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1885 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1886 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1887 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1888 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1889 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1890
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1891 FloatComplexMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1892
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1893 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1894
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1895 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1896 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1897 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1898 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1899
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1900 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1901
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1902 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1903 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1904 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1905
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1906 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1907 }
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 else
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 FloatEIG a_eig (a);
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 if (! error_state)
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 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1916 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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
1919 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1920
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1921 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1926 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1927 }
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1930 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1931 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1932
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1933 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1934 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1935 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1936 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1937 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1938
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1939 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1940 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1941
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1942 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1943 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1944 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1945 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1946 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1947
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1948 if (! error_state)
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 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1951 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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
1954 lambda(i) = std::pow (lambda(i), b);
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 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1957
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1958 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1959 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1960 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1961 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1964 return retval;
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
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1967 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1968 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1969 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1970 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1971 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1972
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1973 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1974 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1975
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1976 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1977 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1978 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1979 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1980 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1981 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
1982 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
1983 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1984 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1985
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1986 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1987 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1988
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1989 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1990 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1991 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1992 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1993 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1994 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1995
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1996 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1997 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1998 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1999 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2000 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2001
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2002 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2003 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2004 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2005 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2006 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2007 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2008 // matrix | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2009 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2010 // complex_scalar | * | 5 | * | 11 |
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 // complex_matrix | 2 | 6 | 8 | 12 |
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 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2015 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2016
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2017 // 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
2018 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2019 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2020 // 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
2021 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2022 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2023 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2024 // 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
2025 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2026 // 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
2027 // 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
2028 // 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
2029 // library...
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 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2032 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2033 elem_xpow (float a, const FloatMatrix& b)
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 octave_value 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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2038 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2039
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2040 float d1, d2;
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 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
2043 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2044 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2045 FloatComplexMatrix result (nr, nc);
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 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
2048 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
2049 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2050 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2051 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
2052 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2053
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2054 retval = result;
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2057 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2058 FloatMatrix result (nr, nc);
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 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
2061 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
2062 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2063 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2064 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
2065 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2066
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2067 retval = result;
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 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2073 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2074 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2075 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2076 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2077 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2078 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2079
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2080 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2081 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2082
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2083 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
2084 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
2085 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2086 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2087 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
2088 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2089
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2090 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2091 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2092
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2093 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2094 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2095 elem_xpow (const FloatMatrix& a, float b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2098
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2099 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2100 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2101
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2102 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
2103 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2104 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2105
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2106 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
2107 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
2108 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2109 octave_quit ();
7789
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 FloatComplex atmp (a (i, j));
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 result (i, j) = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2114 }
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 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2117 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2118 else
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 FloatMatrix result (nr, nc);
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 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
2123 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
2124 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2125 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2126 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
2127 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2128
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2129 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2130 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2131
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2132 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2133 }
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 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2136 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2137 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
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 octave_value retval;
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2142 octave_idx_type nc = a.cols ();
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_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2145 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2148 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2149 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
2150 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2151 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2152
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2153 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2154 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
2155 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
2156 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2157 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2158 float atmp = a (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2159 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2160 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
2161 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2162 convert_to_complex = 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2163 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2164 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2165 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2166
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2167 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2168
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2169 if (convert_to_complex)
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 FloatComplexMatrix complex_result (nr, nc);
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 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
2174 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
2175 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2176 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2177 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2178 FloatComplex btmp (b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2179 complex_result (i, j) = std::pow (atmp, btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2182 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2183 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2184 else
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 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2187
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2188 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
2189 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
2190 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2191 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2192 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
2193 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2194
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2195 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2198 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2201 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2202 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2203 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2204 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2205 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2206 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2207
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2208 FloatComplexMatrix result (nr, nc);
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 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
2211 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
2212 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2213 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2214 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
2215 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2216
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2217 return result;
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 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2221 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2222 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2225 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2226
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2227 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2228 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2229
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2230 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2231 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2232 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
2233 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2234 }
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2237
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2238 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
2239 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
2240 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2241 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2242 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
2243 }
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 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2246 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2247
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2248 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2249 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2250 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2253 octave_idx_type nc = b.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2256
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2257 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
2258 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
2259 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2260 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2261 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2262 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2263 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
2264 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2265 result (i, j) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2266 }
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 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2269 }
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 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2272 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2273 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2276 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2277
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2278 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2279
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2280 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
2281 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
2282 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2283 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2284 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
2285 }
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 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2288 }
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 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2291 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2292 elem_xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2293 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2294 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2295 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2296
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2297 FloatComplexMatrix result (nr, nc);
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 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2300 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2301 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
2302 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
2303 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2304 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2305 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
2306 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2307 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2308 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2309 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2310 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
2311 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
2312 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2313 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2314 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
2315 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2316 }
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 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2319 }
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 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2322 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2323 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2326 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2327
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2328 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2329 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2330
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2331 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2332 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2333 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
2334 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2337 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2338
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2339 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
2340 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
2341 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2342 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2343 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2344 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2345 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
2346 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2347 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
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 return 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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2353 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2354 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2355 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
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_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2358 octave_idx_type nc = a.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2361
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2362 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
2363 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
2364 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2365 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2366 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
2367 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2368
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2369 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2372 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2373 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2374 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
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_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2377 octave_idx_type nc = a.cols ();
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 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2380 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2383 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2384 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
2385 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2388 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2389
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2390 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
2391 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
2392 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2393 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2394 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
2395 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2396
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2397 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2398 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2399
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2400 // 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
2401 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2402 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2403 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2404 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2405 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2406 // N_d | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2407 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2408 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2409 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2410 // complex_N_d | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2411 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2412 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2413 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2414
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2415 // 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
2416 // like
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 // 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
2419 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2420 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2421 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2422 // 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
2423 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2424 // 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
2425 // 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
2426 // 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
2427 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2428
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2429 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2430 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2431 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2432 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2433 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2434
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2435 float d1, d2;
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 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
2438 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2439 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2440 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2441 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
2442 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2443 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2444 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2445 }
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 retval = result;
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2450 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2451 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2452 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
2453 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2454 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2455 result (i) = std::pow (a, b(i));
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 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2461 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2462 }
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 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2465 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2466 elem_xpow (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2467 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2468 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2469
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2470 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
2471 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2472 octave_quit ();
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
2473 result(i) = std::pow (a, b(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2474 }
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 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2479 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2480 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2481 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2482 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2483 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2484
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2485 if (! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2486 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2487 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2488 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2489 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2490
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2491 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2492 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2493 octave_quit ();
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2494
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2495 FloatComplex atmp (a (i));
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2496
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2497 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2498 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2499
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2500 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2501 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2502 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2503 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2504 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2505 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2506 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2507 octave_quit ();
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2508 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2509 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2510
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2511 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2512 }
7789
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2515 {
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2516 NoAlias<FloatNDArray> result (a.dims ());
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2517
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2518 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2519 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2520 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2521 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2522 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2523 }
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2524 else if (ib == 3)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2525 {
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2526 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2527 result(i) = a(i) * a(i) * a(i);
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2528 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2529 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2530 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2531 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2532 result(i) = 1.0f / a(i);
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2533 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2534 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2535 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2536 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2537 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2538 octave_quit ();
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2539 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2540 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2541 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2542
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2543 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2546 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2547 }
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 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2550 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2551 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
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_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2554
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2555 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2556 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2557
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2558 if (a_dims != b_dims)
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 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2561 return octave_value ();
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 int len = a.length ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2565
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2566 bool convert_to_complex = false;
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 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
2569 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2570 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2571 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2572 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2573 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
2574 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2575 convert_to_complex = true;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2576 goto done;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2580 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2581
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2582 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2583 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2584 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2585
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2586 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
2587 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2588 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2589 FloatComplex atmp (a(i));
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
2590 complex_result(i) = std::pow (atmp, b(i));
7789
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 retval = complex_result;
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 else
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 FloatNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2598
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2599 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
2600 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2601 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2602 result(i) = std::pow (a(i), b(i));
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 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2606 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2607
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2608 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2609 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2610
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2611 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2612 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2613 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2614 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2615 FloatComplexNDArray result (a.dims ());
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 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
2618 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2619 octave_quit ();
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
2620 result(i) = std::pow (a(i), b);
7789
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2623 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2624 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2625
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2626 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2627 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2628 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2631 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2634 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2635 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2636 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2637 }
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 FloatComplexNDArray result (a_dims);
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 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
2642 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2643 octave_quit ();
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
2644 result(i) = std::pow (a(i), b(i));
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2645 }
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 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2648 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2649
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2650 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2651 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2652 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2653 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2654 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2655
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2656 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
2657 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2658 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2659 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2660 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2661 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
2662 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2663 result(i) = std::pow (a, btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2666 return result;
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 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2670 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2671 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2672 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2673 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2674
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2675 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
2676 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2677 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2678 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2679 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2680
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2681 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2682 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2683
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2684 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2685 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2686 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2687 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2688 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2689
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2690 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2691 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2692 if (b == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2693 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2694 for (octave_idx_type i = 0; i < a.length (); i++)
10144
1b883ce66707 avoid redundant real->complex conversions in xpow
Jaroslav Hajek <highegg@gmail.com>
parents: 10142
diff changeset
2695 result.xelem (i) = 1.0f / a(i);
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2696 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2697 else
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2698 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2699 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2700 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2701 octave_quit ();
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2702 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2703 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2704 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2705 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2706 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2707 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2708 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
2709 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2710 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2711 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2712 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2713 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2714
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2715 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2716 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2717
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2718 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2719 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2720 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2721 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2722 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2723 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2724
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2725 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2726 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2727 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2728 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2729 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2730
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2731 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2732
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2733 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
2734 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2735 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2736 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2737 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2738 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
2739 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2740 result(i) = std::pow (a(i), btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2741 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2742
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2743 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2744 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2745
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2746 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2747 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2748 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2749 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2750 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2751
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2752 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
2753 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2754 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2755 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2756 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2757
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2758 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2759 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2760
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2761 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2762 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2763 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2764 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2765 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2766 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2767
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2768 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2769 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2770 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2771 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2772 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2773
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2774 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2775
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2776 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
2777 {
10142
829e69ec3110 make OCTAVE_QUIT a function
Jaroslav Hajek <highegg@gmail.com>
parents: 10129
diff changeset
2778 octave_quit ();
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2779 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2780 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2781
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2782 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2783 }