annotate src/xpow.cc @ 9123:f39b98237d5c

use more robust and less aggressive scalar .^ range optimization
author Jaroslav Hajek <highegg@gmail.com>
date Thu, 16 Apr 2009 07:02:31 +0200
parents 10bed8fbec99
children ab80681c44d9
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1 /*
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2
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3 Copyright (C) 1993, 1994, 1995, 1996, 1997, 1998, 2000, 2002, 2003,
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4 2004, 2005, 2006, 2007, 2008 John W. Eaton
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5
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6 This file is part of Octave.
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7
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8 Octave is free software; you can redistribute it and/or modify it
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9 under the terms of the GNU General Public License as published by the
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10 Free Software Foundation; either version 3 of the License, or (at your
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11 option) any later version.
1
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12
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13 Octave is distributed in the hope that it will be useful, but WITHOUT
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14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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16 for more details.
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17
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18 You should have received a copy of the GNU General Public License
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19 along with Octave; see the file COPYING. If not, see
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20 <http://www.gnu.org/licenses/>.
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21
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22 */
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23
240
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24 #ifdef HAVE_CONFIG_H
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25 #include <config.h>
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26 #endif
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27
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28 #include <cassert>
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29 #include <climits>
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30
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31 #include "Array-util.h"
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32 #include "CColVector.h"
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33 #include "CDiagMatrix.h"
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34 #include "fCDiagMatrix.h"
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35 #include "CMatrix.h"
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36 #include "EIG.h"
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37 #include "fEIG.h"
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38 #include "dDiagMatrix.h"
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39 #include "fDiagMatrix.h"
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40 #include "dMatrix.h"
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41 #include "PermMatrix.h"
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42 #include "mx-cm-cdm.h"
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43 #include "oct-cmplx.h"
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44 #include "Range.h"
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45 #include "quit.h"
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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;
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139 Complex atmp (a);
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140 result = std::pow (atmp, b);
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141 return result;
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142 }
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143
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144 // -*- 4 -*-
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145 octave_value
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146 xpow (double a, const ComplexMatrix& b)
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147 {
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148 octave_value retval;
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149
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150 octave_idx_type nr = b.rows ();
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151 octave_idx_type nc = b.cols ();
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152
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153 if (nr == 0 || nc == 0 || nr != nc)
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154 error ("for x^A, A must be square");
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155 else
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156 {
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157 EIG b_eig (b);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
158
7578
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
159 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
160 {
7578
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parents: 7543
diff changeset
161 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
162 ComplexMatrix Q (b_eig.eigenvectors ());
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parents: 7543
diff changeset
163
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
164 for (octave_idx_type i = 0; i < nr; i++)
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diff changeset
165 {
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diff changeset
166 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
167 if (std::imag (elt) == 0.0)
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parents: 7543
diff changeset
168 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
169 else
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
170 lambda(i) = std::pow (a, elt);
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parents: 7543
diff changeset
171 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
172 ComplexDiagMatrix D (lambda);
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parents: 7543
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173
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
174 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
175 }
7578
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parents: 7543
diff changeset
176 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
177 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
178 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
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179
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
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180 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
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181 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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182
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
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parents: 453
diff changeset
183 // -*- 5 -*-
2086
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parents: 1996
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184 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
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parents: 1
diff changeset
185 xpow (const Matrix& a, double b)
1
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186 {
2086
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diff changeset
187 octave_value retval;
1
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parents:
diff changeset
188
5275
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189 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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diff changeset
190 octave_idx_type nc = a.cols ();
1
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parents:
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191
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
192 if (nr == 0 || nc == 0 || nr != nc)
2365
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diff changeset
193 error ("for A^b, A must be square");
1567
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194 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
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parents:
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195 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
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parents: 2365
diff changeset
196 if (static_cast<int> (b) == b)
1
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parents:
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197 {
2804
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diff changeset
198 int btmp = static_cast<int> (b);
1567
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199 if (btmp == 0)
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parents: 1358
diff changeset
200 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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diff changeset
201 retval = DiagMatrix (nr, nr, 1.0);
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
202 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
203 else
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parents: 1358
diff changeset
204 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
205 // Too much copying?
5775
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206 // FIXME -- we shouldn't do this if the exponent is
1567
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diff changeset
207 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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diff changeset
208
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
209 Matrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
210 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
211 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
212 btmp = -btmp;
1655
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parents: 1651
diff changeset
213
5275
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parents: 5260
diff changeset
214 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
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parents: 1651
diff changeset
215 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
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diff changeset
216 MatrixType mattype (a);
1655
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parents: 1651
diff changeset
217
6207
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dbateman
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diff changeset
218 atmp = a.inverse (mattype, info, rcond, 1);
1655
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parents: 1651
diff changeset
219
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
220 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
221 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
222 precision, rcond = %g", rcond);
1567
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parents: 1358
diff changeset
223 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
224 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
225 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
226
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
227 Matrix result (atmp);
3178
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 btmp--;
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 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
232 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
233 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
234 result = result * atmp;
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 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
237
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
238 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
239 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
240 }
1567
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parents: 1358
diff changeset
241
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
242 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
243 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
244 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
245 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
246 {
1567
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parents: 1358
diff changeset
247 EIG a_eig (a);
7578
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diff changeset
248
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
249 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
250 {
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
251 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
252 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
253
7578
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
254 for (octave_idx_type i = 0; i < nr; i++)
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
255 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
256
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
257 ComplexDiagMatrix D (lambda);
1567
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parents: 1358
diff changeset
258
7578
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diff changeset
259 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
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diff changeset
260 }
91f8446ce4ae handle possible error from EIG
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parents: 7543
diff changeset
261 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
262 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
263 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
264 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
265
1567
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jwe
parents: 1358
diff changeset
266 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
267 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
268
8382
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
269 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
270 octave_value
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
271 xpow (const DiagMatrix& a, double b)
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
272 {
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
273 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
274
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
275 octave_idx_type nr = a.rows ();
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diff changeset
276 octave_idx_type nc = a.cols ();
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diff changeset
277
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
278 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
279 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
280 else
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
281 {
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
282 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
283 {
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
284 DiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
285 for (octave_idx_type i = 0; i < nc; i++)
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parents: 7789
diff changeset
286 r(i, i) = std::pow (a(i, i), b);
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diff changeset
287 retval = r;
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parents: 7789
diff changeset
288 }
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parents: 7789
diff changeset
289 else
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
290 {
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
291 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
292 for (octave_idx_type i = 0; i < nc; i++)
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diff changeset
293 r(i, i) = std::pow (static_cast<Complex> (a(i, i)), b);
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diff changeset
294 retval = r;
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diff changeset
295 }
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diff changeset
296 }
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parents: 7789
diff changeset
297
9b20a4847056 implement scalar powers of diag matrices
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diff changeset
298 return retval;
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diff changeset
299 }
9b20a4847056 implement scalar powers of diag matrices
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parents: 7789
diff changeset
300
8958
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
301 // -*- 5p -*-
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
302 octave_value
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
303 xpow (const PermMatrix& a, double b)
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
304 {
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
305 octave_value retval;
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
306 int btmp = static_cast<int> (b);
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
307 if (btmp == b)
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
308 return a.power (btmp);
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
309 else
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
310 return xpow (Matrix (a), b);
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
311 }
6ccc12cc65ef implement raising a permutation matrix to integer power
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parents: 8920
diff changeset
312
1567
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parents: 1358
diff changeset
313 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
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parents: 1996
diff changeset
314 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
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parents: 1358
diff changeset
315 xpow (const Matrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
316 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
317 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
318
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
319 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
320 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
321
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
322 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
323 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
324 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
325 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
326 EIG a_eig (a);
7578
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 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
329 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
330 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
331 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
332
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
333 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
334 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
335
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
336 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
337
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
338 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
339 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
340 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
341 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
342 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
343
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
344 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
345 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
346
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
347 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
348 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
349 xpow (const Complex& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
350 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
351 Complex result;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
352
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
353 if (xisint (b))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
354 result = std::pow (a, static_cast<int> (b));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
355 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
356 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
357
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
358 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
359 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
360
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
361 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
362 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
363 xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
364 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
365 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
366
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
367 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
368 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
369
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
370 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
371 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
372 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
373 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
374 EIG b_eig (b);
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 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
377 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
378 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
379 ComplexMatrix Q (b_eig.eigenvectors ());
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 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
382 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
383 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
384 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
385 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
386 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
387 lambda(i) = std::pow (a, elt);
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 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
390
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
391 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
392 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
393 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
394 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
395 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
396
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
397 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
398 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
399
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
400 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
401 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
402 xpow (const Complex& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
403 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
404 Complex result;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
405 result = std::pow (a, b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
406 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
407 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
408
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
409 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
410 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
411 xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
412 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
413 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
414
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
415 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
416 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
417
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
418 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
419 error ("for x^A, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
420 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
421 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
422 EIG b_eig (b);
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 if (! error_state)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
425 {
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
426 ComplexColumnVector lambda (b_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
427 ComplexMatrix Q (b_eig.eigenvectors ());
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 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
430 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
431 Complex elt = lambda(i);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
432 if (std::imag (elt) == 0.0)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
433 lambda(i) = std::pow (a, std::real (elt));
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
434 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
435 lambda(i) = std::pow (a, elt);
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 ComplexDiagMatrix D (lambda);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
438
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
439 retval = ComplexMatrix (Q * D * Q.inverse ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
440 }
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
441 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
442 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
443 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
444
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
445 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
446 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
447
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
448 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
449 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
450 xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
451 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
452 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
453
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
454 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
455 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
456
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
457 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
458 error ("for A^b, A must be square");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
459 else
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
460 {
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
461 if (static_cast<int> (b) == b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
462 {
2804
eedc2f3f61f7 [project @ 1997-03-11 04:34:50 by jwe]
jwe
parents: 2800
diff changeset
463 int btmp = static_cast<int> (b);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
464 if (btmp == 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 retval = DiagMatrix (nr, nr, 1.0);
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 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
469 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
470 // Too much copying?
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
471 // 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
472 // large...
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
473
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
474 ComplexMatrix atmp;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
475 if (btmp < 0)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
476 {
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
477 btmp = -btmp;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
478
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
479 octave_idx_type info;
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
480 double rcond = 0.0;
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
481 MatrixType mattype (a);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
482
6207
3c92b8d892dd [project @ 2006-12-06 20:19:14 by dbateman]
dbateman
parents: 5775
diff changeset
483 atmp = a.inverse (mattype, info, rcond, 1);
1655
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
484
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
485 if (info == -1)
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
486 warning ("inverse: matrix singular to machine\
593fff2e7e39 [project @ 1995-12-20 10:50:16 by jwe]
jwe
parents: 1651
diff changeset
487 precision, rcond = %g", rcond);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
488 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
489 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
490 atmp = a;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
491
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
492 ComplexMatrix result (atmp);
3178
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 btmp--;
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 while (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
497 {
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
498 if (btmp & 1)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
499 result = result * atmp;
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 btmp >>= 1;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
502
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
503 if (btmp > 0)
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
504 atmp = atmp * atmp;
09a3064a3a17 [project @ 1998-06-23 03:46:42 by jwe]
jwe
parents: 3162
diff changeset
505 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
506
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
507 retval = result;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
508 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
509 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
510 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
511 {
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
512 EIG a_eig (a);
7578
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 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
515 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
516 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
517 ComplexMatrix Q (a_eig.eigenvectors ());
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
518
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
519 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
520 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
521
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
522 ComplexDiagMatrix D (lambda);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
523
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
524 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
525 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
526 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
527 error ("xpow: matrix diagonalization failed");
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
528 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
529 }
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
530
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
531 return retval;
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
532 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
533
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
534 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
535 octave_value
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
536 xpow (const ComplexMatrix& a, const Complex& b)
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
537 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
538 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
539
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
540 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
541 octave_idx_type nc = a.cols ();
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
542
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
543 if (nr == 0 || nc == 0 || nr != nc)
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
544 error ("for A^b, A must be square");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
545 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
546 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
547 EIG a_eig (a);
7578
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 if (! error_state)
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
550 {
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
551 ComplexColumnVector lambda (a_eig.eigenvalues ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
552 ComplexMatrix Q (a_eig.eigenvectors ());
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
553
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
554 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
555 lambda(i) = std::pow (lambda(i), b);
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
556
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
557 ComplexDiagMatrix D (lambda);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
558
7578
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
559 retval = ComplexMatrix (Q * D * Q.inverse ());
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
560 }
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
561 else
91f8446ce4ae handle possible error from EIG
John W. Eaton <jwe@octave.org>
parents: 7543
diff changeset
562 error ("xpow: matrix diagonalization failed");
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
563 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
564
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
565 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
566 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
567
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
568 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
569 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
570 xpow (const ComplexDiagMatrix& a, const Complex& b)
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_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
573
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
574 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
575 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
576
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
577 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
578 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
579 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
580 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
581 ComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
582 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
583 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
584 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
585 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
586
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
587 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
588 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
589
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
590 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
591 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
592 xpow (const ComplexDiagMatrix& a, double 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 return xpow (a, static_cast<Complex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
595 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
596
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
597 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
598 xpow (const DiagMatrix& a, const Complex& 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 return xpow (ComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
601 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
602
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
603
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
604 // Safer pow functions that work elementwise for matrices.
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 // op2 \ op1: s m cs cm
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 // scalar | | * | 3 | * | 9 |
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 // matrix | 1 | 4 | 7 | 10 |
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_scalar | * | 5 | * | 11 |
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 // complex_matrix | 2 | 6 | 8 | 12 |
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
615 // +---+---+----+----+
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
616 //
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
617 // * -> not needed.
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
618
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
619 // 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
620 // like
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 // 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
623 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
624 // and
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 // 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
627 //
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
628 // 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
629 // 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
630 // 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
631 // library...
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
632
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
633 // -*- 1 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
634 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
635 elem_xpow (double a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
636 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
637 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
638
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
639 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
640 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
641
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
642 double d1, d2;
1358
dc9c01f66a19 [project @ 1995-09-05 21:10:01 by jwe]
jwe
parents: 1352
diff changeset
643
3162
7c96e85c76db [project @ 1998-04-08 18:19:35 by jwe]
jwe
parents: 3125
diff changeset
644 if (a < 0.0 && ! b.all_integers (d1, d2))
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
645 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
646 Complex atmp (a);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
647 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
648
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
649 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
650 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
651 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
652 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
653 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
654 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
655
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
656 retval = result;
1
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 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
659 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
660 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
661
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
662 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
663 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
664 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
665 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
666 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
667 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
668
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
669 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
670 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
671
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
672 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
673 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
674
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
675 // -*- 2 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
676 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
677 elem_xpow (double a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
678 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
679 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
680 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
681
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
682 ComplexMatrix result (nr, nc);
3125
dcc6c985d72d [project @ 1998-01-16 05:08:21 by jwe]
jwe
parents: 2847
diff changeset
683 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
684
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
685 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
686 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
687 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
688 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
689 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
690 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
691
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
692 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
693 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
694
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
695 static inline bool
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
696 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
697 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
698 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
699 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
700
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
701 octave_value
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
702 elem_xpow (double a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
703 {
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
704 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
705
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
706 // 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
707 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
708 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
709 && same_sign (r.base (), r.limit ()))
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
710 {
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
711 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
712 Matrix result (1, n);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
713 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
714 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
715 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
716 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
717 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
718 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
719 result(i) = (base *= inc);
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 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
722 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
723 // 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
724 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
725 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
726 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
727 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
728 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
729 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
730
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
731 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
732 }
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
733 else
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
734 retval = elem_xpow (a, r.matrix_value ());
9103
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 return retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
737 }
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
738
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
739 // -*- 3 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
740 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
741 elem_xpow (const Matrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
742 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
743 octave_value retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
744
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
745 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
746 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
747
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
748 if (! xisint (b) && a.any_element_is_negative ())
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
749 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
750 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
751
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
752 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
753 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
754 {
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
755 OCTAVE_QUIT;
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 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
758
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
759 result (i, j) = std::pow (atmp, b);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
760 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
761
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
762 retval = result;
1
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 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
765 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
766 Matrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
767
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
768 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
769 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
770 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
771 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
772 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
773 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
774
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
775 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
776 }
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 return retval;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
779 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
780
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
781 // -*- 4 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
782 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
783 elem_xpow (const Matrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
784 {
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
785 octave_value retval;
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
786
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
787 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
788 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
789
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
790 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
791 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
792
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
793 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
794 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
795 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
796 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
797 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
798
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
799 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
800 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
801 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
802 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
803 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
804 double atmp = a (i, j);
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
805 double btmp = b (i, j);
2800
9aeba8e006a4 [project @ 1997-03-09 09:50:20 by jwe]
jwe
parents: 2365
diff changeset
806 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
807 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
808 convert_to_complex = 1;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
809 goto done;
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
810 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
811 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
812
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
813 done:
1
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 if (convert_to_complex)
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
816 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
817 ComplexMatrix complex_result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
818
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
819 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
820 for (octave_idx_type i = 0; i < nr; i++)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
821 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
822 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
823 Complex atmp (a (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
824 Complex btmp (b (i, j));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
825 complex_result (i, j) = std::pow (atmp, btmp);
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
826 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
827
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
828 retval = complex_result;
1
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 else
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
831 {
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
832 Matrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
833
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
834 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
835 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
836 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
837 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
838 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
839 }
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 retval = result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
842 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
843
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
844 return retval;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
845 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
846
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
847 // -*- 5 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
848 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
849 elem_xpow (const Matrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
850 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
851 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
852 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
853
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
854 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
855
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
856 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
857 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
858 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
859 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
860 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
861 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
862
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
863 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
864 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
865
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
866 // -*- 6 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
867 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
868 elem_xpow (const Matrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
869 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
870 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
871 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
872
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
873 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
874 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
875
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
876 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
877 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
878 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
879 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
880 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
881
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
882 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
883
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
884 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
885 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
886 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
887 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
888 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
889 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
890
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
891 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
892 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
893
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
894 // -*- 7 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
895 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
896 elem_xpow (const Complex& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
897 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
898 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
899 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
900
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
901 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
902
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
903 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
904 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
905 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
906 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
907 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
908 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
909 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
910 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
911 result (i, j) = std::pow (a, btmp);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
912 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
913
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
914 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
915 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
916
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
917 // -*- 8 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
918 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
919 elem_xpow (const Complex& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
920 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
921 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
922 octave_idx_type nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
923
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
924 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
925
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
926 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
927 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
928 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
929 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
930 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
931 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
932
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
933 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
934 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
935
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
936 octave_value
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
937 elem_xpow (const Complex& a, const Range& r)
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
938 {
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
939 octave_value retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
940
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
941 // 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
942 // magnitude.
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
943 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
944 && same_sign (r.base (), r.limit ()))
9103
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
945 {
9123
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
946 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
947 ComplexMatrix result (1, n);
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 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
950 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
951 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
952 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
953 result(0) = base;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
954 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
955 result(i) = (base *= inc);
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 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
958 {
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
959 // 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
960 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
961 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
962 result(n-1) = limit;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
963 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
964 result(i) = (limit *= inc);
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
965 }
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 retval = result;
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
968 }
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
969 else
f39b98237d5c use more robust and less aggressive scalar .^ range optimization
Jaroslav Hajek <highegg@gmail.com>
parents: 9103
diff changeset
970 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
971
9103
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 return retval;
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
974 }
10bed8fbec99 optimize scalar .^ range operation
Jaroslav Hajek <highegg@gmail.com>
parents: 8979
diff changeset
975
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
976 // -*- 9 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
977 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
978 elem_xpow (const ComplexMatrix& a, double b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
979 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
980 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
981 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
982
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
983 ComplexMatrix result (nr, nc);
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
984
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
985 if (xisint (b))
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
986 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
987 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
988 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
989 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
990 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
991 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
992 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
993 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
994 else
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
995 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
996 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
997 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
998 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
999 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1000 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
1001 }
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1002 }
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1003
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1004 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1005 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1006
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
1007 // -*- 10 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
1008 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
1009 elem_xpow (const ComplexMatrix& a, const Matrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1010 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1011 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1012 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1013
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1014 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1015 octave_idx_type b_nc = b.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1016
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1017 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1018 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1019 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1020 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1021 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1022
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1023 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1024
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1025 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1026 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
1027 {
4153
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
1028 OCTAVE_QUIT;
2305
5a3f1d00a474 [project @ 1996-07-09 16:20:40 by jwe]
jwe
parents: 2086
diff changeset
1029 double btmp = b (i, j);
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1030 if (xisint (btmp))
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), static_cast<int> (btmp));
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1032 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1033 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
1034 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1035
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1036 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1037 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1038
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
1039 // -*- 11 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
1040 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
1041 elem_xpow (const ComplexMatrix& a, const Complex& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1042 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1043 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1044 octave_idx_type nc = a.cols ();
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1045
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1046 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1047
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1048 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1049 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
1050 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
1051 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1052 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
1053 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1054
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1055 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1056 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1057
767
42731861ee09 [project @ 1994-10-05 21:26:54 by jwe]
jwe
parents: 453
diff changeset
1058 // -*- 12 -*-
2086
bfb775fb6fe8 [project @ 1996-04-25 05:55:19 by jwe]
jwe
parents: 1996
diff changeset
1059 octave_value
164
e2c950dd96d2 [project @ 1993-10-18 19:32:00 by jwe]
jwe
parents: 1
diff changeset
1060 elem_xpow (const ComplexMatrix& a, const ComplexMatrix& b)
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1061 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1062 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1063 octave_idx_type nc = a.cols ();
2365
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1064
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1065 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1066 octave_idx_type b_nc = b.cols ();
2365
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 if (nr != b_nr || nc != b_nc)
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1069 {
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1070 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1071 return octave_value ();
7c60f8a6e6a0 [project @ 1996-10-11 23:03:52 by jwe]
jwe
parents: 2305
diff changeset
1072 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1073
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1074 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1075
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1076 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1077 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
1078 {
6b96ce9f5743 [project @ 2002-11-06 20:38:49 by jwe]
jwe
parents: 4055
diff changeset
1079 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1080 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
1081 }
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1082
1567
1da33230f424 [project @ 1995-10-18 00:47:12 by jwe]
jwe
parents: 1358
diff changeset
1083 return result;
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1084 }
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
1085
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1086 // 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
1087 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1088 // op2 \ op1: s nd cs cnd
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 // scalar | | * | 3 | * | 9 |
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 // N_d | 1 | 4 | 7 | 10 |
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_scalar | * | 5 | * | 11 |
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 // complex_N_d | 2 | 6 | 8 | 12 |
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1097 // +---+---+----+----+
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1098 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1099 // * -> not needed.
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1100
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5667
diff changeset
1101 // 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
1102 // like
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 // 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
1105 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1106 // and
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 // 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
1109 //
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1110 // 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
1111 // 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
1112 // 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
1113 // library...
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1114
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1115 // -*- 1 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1116 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1117 elem_xpow (double a, const NDArray& b)
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 octave_value retval;
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 double 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 if (a < 0.0 && ! b.all_integers (d1, d2))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1124 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1125 Complex atmp (a);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1126 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1127 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
1128 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1129 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1130 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1131 }
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 retval = result;
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 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1136 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1137 NDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1138 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
1139 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1140 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1141 result (i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1142 }
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 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1145 }
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 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1148 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1149
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1150 // -*- 2 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1151 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1152 elem_xpow (double a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1153 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1154 ComplexNDArray result (b.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1155 Complex atmp (a);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1156
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1157 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
1158 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1159 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1160 result(i) = std::pow (atmp, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1161 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1162
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1163 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1164 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1165
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1166 // -*- 3 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1167 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1168 elem_xpow (const NDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1169 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1170 octave_value retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1171
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1172 if (! xisint (b))
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1173 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1174 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1175 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1176 ComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1177
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1178 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1179 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1180 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1181
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1182 Complex atmp (a (i));
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 result(i) = std::pow (atmp, b);
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
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1187 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1188 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1189 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1190 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1191 NDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1192 for (octave_idx_type i = 0; i < a.length (); i++)
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 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1195 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1196 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1197
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1198 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1199 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1200 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1201 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1202 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1203 NDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1204
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1205 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1206 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1207 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1208 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1209 result.xelem (i) = a(i) * a(i);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1210 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1211 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1212 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1213 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1214 result.xelem (i) = 1.0 / a(i);
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1215 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1216 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1217 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1218 for (octave_idx_type i = 0; i < a.length (); i++)
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 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1221 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1222 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1223 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1224
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1225 retval = result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1228 return retval;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1231 // -*- 4 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1232 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1233 elem_xpow (const NDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1234 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1235 octave_value retval;
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1238 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1239
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1240 if (a_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 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1243 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1244 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1245
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1246 int len = a.length ();
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 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1249
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1250 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
1251 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1252 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1253 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1254 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1255 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1256 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1257 convert_to_complex = true;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1258 goto done;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1259 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1260 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1261
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1262 done:
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 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1265 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1266 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1267
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1268 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
1269 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1270 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1271 Complex atmp (a(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1272 Complex btmp (b(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1273 complex_result(i) = std::pow (atmp, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1274 }
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 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1277 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1278 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1279 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1280 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1281
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1282 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
1283 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1284 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1285 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1286 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1287
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1288 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1289 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1290
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1291 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1292 }
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 // -*- 5 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1295 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1296 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1297 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1298 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1299
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1300 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
1301 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1302 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1303 result(i) = std::pow (Complex (a(i)), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1304 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1307 }
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 // -*- 6 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1310 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1311 elem_xpow (const NDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1312 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1313 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1314 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1315
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1316 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1317 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1318 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1319 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1320 }
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 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1323
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1324 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
1325 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1326 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1327 result(i) = std::pow (Complex (a(i)), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1328 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1331 }
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 // -*- 7 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1334 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1335 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1336 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1337 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1338
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1339 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
1340 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1341 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1342 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1343 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1344 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
1345 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1346 result(i) = std::pow (a, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1347 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1350 }
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 // -*- 8 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1353 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1354 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1355 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1356 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1357
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1358 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
1359 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1360 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1361 result(i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1362 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1363
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1364 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1365 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1366
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1367 // -*- 9 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1368 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1369 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1370 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1371 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1372
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1373 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1374 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1375 if (b == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1376 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1377 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1378 result.xelem (i) = std::conj (a(i)) / std::norm (a(i));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1379 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1380 else
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1381 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1382 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1383 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1384 OCTAVE_QUIT;
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1385 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1386 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1387 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1388 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1389 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1390 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1391 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
1392 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1393 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1394 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1395 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1399 }
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 // -*- 10 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1402 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1403 elem_xpow (const ComplexNDArray& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1404 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1405 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1406 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1407
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1408 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1409 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1410 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1411 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1412 }
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 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1415
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1416 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
1417 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1418 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1419 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1420 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1421 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
1422 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1423 result(i) = std::pow (a(i), btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1424 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1427 }
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 // -*- 11 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1430 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1431 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1432 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1433 ComplexNDArray result (a.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1434
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1435 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
1436 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1437 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1438 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1439 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1442 }
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 // -*- 12 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1445 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1446 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1447 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1448 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1449 dim_vector b_dims = b.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1450
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1451 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1452 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1453 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1454 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1455 }
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 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1458
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1459 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
1460 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1461 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1462 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1463 }
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 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1466 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1467
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1468 static inline int
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1469 xisint (float x)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1470 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1471 return (D_NINT (x) == x
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1472 && ((x >= 0 && x < INT_MAX)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1473 || (x <= 0 && x > INT_MIN)));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1474 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1475
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1476 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1477 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1478 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1479 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1480 // scalar | | 1 | 5 | 7 | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1481 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1482 // matrix | 2 | * | 8 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1483 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1484 // complex_scalar | 3 | 6 | 9 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1485 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1486 // complex_matrix | 4 | * | 10 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1487 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1488
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1489 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1490 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1491 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1492 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1493 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1494
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1495 if (a < 0.0 && ! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1496 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1497 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1498
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1499 return std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1500 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1501 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1502 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1503
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1504 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1505 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1506
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1507 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1508 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1509 xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1510 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1511 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1512
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1513 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1514 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1515
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1516 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1517 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1518 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1519 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1520 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1521
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1522 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1523 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1524 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1525 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1526
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1527 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
1528 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1529 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1530 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1531 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1532 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1533 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1534 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1535 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1536
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1537 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1538 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1539 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1540 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1541 }
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 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1544 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1545
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1546 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1547 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1548 xpow (float a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1549 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1550 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1551 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1552 result = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1553 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1554 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1556 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1557 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1558 xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1559 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1560 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1561
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1562 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1563 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1564
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1565 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1566 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1567 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1568 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1569 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1570
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1571 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1572 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1573 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1574 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1575
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1576 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
1577 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1578 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1579 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1580 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1581 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1582 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1583 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1584 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1585
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1586 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1587 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1588 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1589 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1592 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1595 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1596 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1597 xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1598 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1599 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1600
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1601 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1602 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1603
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1604 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1605 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1606 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1607 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1608 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1609 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1610 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1611 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1612 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1613 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1614 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1615 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1616 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1617 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1618 // 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
1619 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1620
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1621 FloatMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1622 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1623 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1624 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1625
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1626 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1627 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1628 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1629
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1630 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1631
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1632 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1633 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1634 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1635 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1636 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1637 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1638
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1639 FloatMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1640
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1641 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1642
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1643 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1644 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1645 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1646 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1647
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1648 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1649
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1650 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1651 atmp = atmp * atmp;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1654 retval = result;
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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1657 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1658 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1659 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1660
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1661 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1662 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1663 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1664 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1665
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1666 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
1667 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1668
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1669 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1670
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1671 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1672 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1673 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1674 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1678 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1679 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1680
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1681 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1682 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1683 xpow (const FloatDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1684 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1685 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1686
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1687 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1688 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1689
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1690 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1691 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1692 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1693 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1694 if (static_cast<int> (b) == b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1695 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1696 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1697 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
1698 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
1699 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1700 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1701 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1702 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1703 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1704 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
1705 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
1706 retval = r;
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
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1710 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1711 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1712
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1713 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1714 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1715 xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1716 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1717 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1718
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1719 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1720 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1721
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1722 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1723 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1724 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1725 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1726 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1727
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1728 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1729 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1730 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1731 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1732
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1733 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
1734 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1735
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1736 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1737
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1738 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1739 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1740 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1741 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1744 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1745 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1746
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1747 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1748 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1749 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1750 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1751 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1752
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1753 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1754 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1755 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1756 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1757
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1758 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1761 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1762 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1763 xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1764 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1765 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1766
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1767 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1768 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1769
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1770 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1771 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1772 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1773 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1774 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1775
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1776 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1777 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1778 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1779 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1780
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1781 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
1782 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1783 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1784 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1785 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1786 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1787 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1788 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1789 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1790
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1791 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1792 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1793 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1794 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1797 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1800 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1801 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1802 xpow (const FloatComplex& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1803 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1804 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1805 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1806 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1807 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1808
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1809 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1810 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1811 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1812 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1813 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1814
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1815 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1816 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1817
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1818 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1819 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1820 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1821 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1822 FloatEIG b_eig (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1823
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1824 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1825 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1826 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1827 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1828
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1829 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
1830 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1831 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1832 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1833 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1834 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1835 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1836 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1837 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1838
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1839 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1840 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1841 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1842 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1845 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1848 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1849 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1850 xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1851 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1852 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1853
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1854 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1855 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1856
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1857 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1858 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1859 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1860 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1861 if (static_cast<int> (b) == b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1862 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1863 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1864 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1865 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1866 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1867 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1868 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1869 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1870 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1871 // 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
1872 // large...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1873
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1874 FloatComplexMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1875 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1876 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1877 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1878
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1879 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1880 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1881 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1882
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1883 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1884
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1885 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1886 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1887 precision, rcond = %g", rcond);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1888 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1889 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1890 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1891
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1892 FloatComplexMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1893
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1894 btmp--;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1895
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1896 while (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1897 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1898 if (btmp & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1899 result = result * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1900
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1901 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1902
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1903 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1904 atmp = atmp * atmp;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1907 retval = result;
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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1910 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1911 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1912 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1913
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1914 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1915 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1916 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1917 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1918
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1919 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
1920 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1921
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1922 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1923
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1924 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1925 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1926 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1927 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1931 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1934 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1935 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1936 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1937 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1938 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1939
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1940 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1941 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1942
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1943 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1944 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1945 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1946 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1947 FloatEIG a_eig (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1948
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1949 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1950 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1951 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1952 FloatComplexMatrix Q (a_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1953
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1954 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
1955 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1956
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1957 FloatComplexDiagMatrix D (lambda);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1958
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1959 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1960 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1961 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1962 error ("xpow: matrix diagonalization failed");
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1965 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1966 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1967
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1968 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1969 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1970 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1971 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1972 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1973
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1974 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1975 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1976
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1977 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1978 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1979 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1980 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1981 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1982 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
1983 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
1984 retval = r;
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
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1987 return retval;
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
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1990 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1991 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1992 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1993 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1994 return xpow (a, static_cast<FloatComplex> (b));
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
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1997 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1998 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1999 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2000 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2001 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2002
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2003 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2004 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2005 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2006 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2007 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2008 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2009 // matrix | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2010 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2011 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2012 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2013 // complex_matrix | 2 | 6 | 8 | 12 |
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 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2016 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2017
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2018 // 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
2019 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2020 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2021 // 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
2022 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2023 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2024 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2025 // 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
2026 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2027 // 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
2028 // 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
2029 // 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
2030 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2031
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2032 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2033 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2034 elem_xpow (float a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2035 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2036 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2037
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2038 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2039 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2040
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2041 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2042
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2043 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
2044 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2045 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2046 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2047
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2048 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
2049 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
2050 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2051 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2052 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
2053 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2054
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2055 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2056 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2057 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2058 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2059 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2060
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2061 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
2062 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
2063 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2064 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2065 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
2066 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2067
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2068 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2071 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2074 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2075 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2076 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2077 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2078 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2079 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2080
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2081 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2082 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2083
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2084 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
2085 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
2086 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2087 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2088 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
2089 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2090
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2091 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2094 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2095 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2096 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2097 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2098 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2099
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2100 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2101 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2102
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2103 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
2104 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2105 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2106
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2107 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
2108 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
2109 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2110 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2111
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2112 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2113
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2114 result (i, j) = std::pow (atmp, b);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2117 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2118 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2119 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2120 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2121 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2122
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2123 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
2124 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
2125 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2126 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2127 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
2128 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2129
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2130 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2133 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2136 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2137 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2138 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2139 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2140 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2141
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2142 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2143 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2144
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2145 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2146 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2147
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2148 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2149 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2150 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
2151 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2154 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2155 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
2156 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
2157 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2158 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2159 float atmp = a (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2160 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2161 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
2162 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2163 convert_to_complex = 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2164 goto done;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2168 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2169
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2170 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2171 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2172 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2173
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2174 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
2175 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
2176 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2177 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2178 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2179 FloatComplex btmp (b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2180 complex_result (i, j) = std::pow (atmp, btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2183 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2184 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2185 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2186 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2187 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2188
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2189 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
2190 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
2191 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2192 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2193 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
2194 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2195
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2196 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2199 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2202 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2203 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2204 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2205 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2206 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2207 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2208
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2209 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2210
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2211 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
2212 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
2213 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2214 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2215 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
2216 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2217
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2218 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2219 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2220
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2221 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2222 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2223 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2224 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2225 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2226 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2227
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2228 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2229 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2230
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2231 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2232 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2233 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
2234 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2237 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2238
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2239 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
2240 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
2241 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2242 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2243 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
2244 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2245
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2246 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2249 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2250 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2251 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2252 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2253 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2254 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2255
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2256 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2257
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2258 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
2259 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
2260 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2261 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2262 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2263 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2264 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
2265 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2266 result (i, j) = std::pow (a, btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2269 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2270 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2271
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2272 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2273 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2274 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2275 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2276 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2277 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2278
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2279 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2280
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2281 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
2282 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
2283 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2284 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2285 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
2286 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2287
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2288 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2289 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2290
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2291 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2292 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2293 elem_xpow (const FloatComplexMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2294 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2295 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2296 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2297
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2298 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2299
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2300 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2301 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2302 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
2303 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
2304 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2305 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2306 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
2307 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2308 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2309 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2310 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2311 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
2312 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
2313 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2314 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2315 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
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2319 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2322 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2323 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2324 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2325 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2326 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2327 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2328
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2329 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2330 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2331
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2332 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2333 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2334 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
2335 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2338 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2339
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2340 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
2341 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
2342 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2343 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2344 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2345 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2346 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
2347 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2348 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
2349 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2350
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2351 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2354 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2355 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2356 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2357 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2358 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2359 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2360
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2361 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2362
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2363 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
2364 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
2365 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2366 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2367 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
2368 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2369
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2370 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2373 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2374 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2375 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2376 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2377 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2378 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2379
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2380 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2381 octave_idx_type b_nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2382
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2383 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2384 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2385 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
2386 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2389 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2390
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2391 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
2392 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
2393 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2394 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2395 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
2396 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2397
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2398 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2401 // 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
2402 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2403 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2404 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2405 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2406 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2407 // N_d | 1 | 4 | 7 | 10 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2408 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2409 // complex_scalar | * | 5 | * | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2410 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2411 // complex_N_d | 2 | 6 | 8 | 12 |
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 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2414 // * -> not needed.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2415
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2416 // 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
2417 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2418 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2419 // 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
2420 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2421 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2422 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2423 // 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
2424 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2425 // 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
2426 // 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
2427 // 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
2428 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2429
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2430 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2431 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2432 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2433 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2434 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2435
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2436 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2437
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2438 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
2439 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2440 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2441 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2442 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
2443 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2444 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2445 result(i) = std::pow (atmp, b(i));
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2448 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2449 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2450 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2451 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2452 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2453 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
2454 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2455 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2456 result (i) = std::pow (a, b(i));
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2459 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2462 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2465 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2466 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2467 elem_xpow (float a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2468 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2469 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2470 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2471
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2472 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
2473 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2474 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2475 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2476 }
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 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2479 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2480
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2481 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2482 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2483 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2484 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2485 octave_value retval;
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 (! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2488 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2489 if (a.any_element_is_negative ())
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 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2492
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2493 for (octave_idx_type i = 0; i < a.length (); i++)
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 OCTAVE_QUIT;
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 FloatComplex atmp (a (i));
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 result(i) = std::pow (atmp, b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2500 }
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 retval = result;
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 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2505 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2506 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2507 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2508 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2509 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2510 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2511 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2512
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2513 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2514 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2515 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2516 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2517 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2518 FloatNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2519
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2520 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2521 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2522 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2523 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2524 result.xelem (i) = a(i) * a(i);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2525 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2526 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2527 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2528 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2529 result.xelem (i) = 1.0f / a(i);
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2530 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2531 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2532 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2533 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2534 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2535 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2536 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2537 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2538 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2539
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2540 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2541 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2542
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2543 return retval;
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 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2547 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2548 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2549 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2550 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2551
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2552 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2553 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2556 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2557 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2558 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2559 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2560
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2561 int len = a.length ();
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 bool convert_to_complex = false;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2564
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2565 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
2566 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2567 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2568 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2569 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2570 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
2571 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2572 convert_to_complex = true;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2573 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2574 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2575 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2576
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2577 done:
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 if (convert_to_complex)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2580 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2581 FloatComplexNDArray complex_result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2582
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2583 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
2584 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2585 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2586 FloatComplex atmp (a(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2587 FloatComplex btmp (b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2588 complex_result(i) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2589 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2590
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2591 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2592 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2593 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2594 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2595 FloatNDArray result (a_dims);
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 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
2598 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2599 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2600 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2601 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2602
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2603 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2606 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2609 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2610 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2611 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2612 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2613 FloatComplexNDArray result (a.dims ());
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 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
2616 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2617 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2618 result(i) = std::pow (FloatComplex (a(i)), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2619 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2620
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2621 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2624 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2625 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2626 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2627 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2628 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2629 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2630
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2631 if (a_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 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2634 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2635 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2636
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2637 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2638
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2639 for (octave_idx_type i = 0; i < a.length (); i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2640 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2641 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2642 result(i) = std::pow (FloatComplex (a(i)), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2643 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2644
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2645 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2646 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2647
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2648 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2649 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2650 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2651 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2652 FloatComplexNDArray result (b.dims ());
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 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
2655 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2656 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2657 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2658 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2659 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
2660 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2661 result(i) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2662 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2663
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2664 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2667 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2668 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2669 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2670 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2671 FloatComplexNDArray result (b.dims ());
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 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
2674 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2675 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2676 result(i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2677 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2678
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2679 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2682 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2683 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2684 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2685 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2686 FloatComplexNDArray result (a.dims ());
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 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2689 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2690 if (b == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2691 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2692 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2693 result.xelem (i) = std::conj (a(i)) / std::norm (a(i));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2694 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2695 else
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 for (octave_idx_type i = 0; i < a.length (); i++)
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 OCTAVE_QUIT;
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2700 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2701 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2702 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2703 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2704 else
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 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
2707 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2708 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2709 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2710 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2711 }
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 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2716 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2717 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2718 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2719 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2720 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2721 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2722
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2723 if (a_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 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2726 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2727 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2728
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2729 FloatComplexNDArray result (a_dims);
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 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
2732 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2733 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2734 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2735 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2736 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
2737 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2738 result(i) = std::pow (a(i), btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2739 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2740
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2741 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2744 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2745 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2746 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2747 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2748 FloatComplexNDArray result (a.dims ());
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 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
2751 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2752 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2753 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2754 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2755
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2756 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2759 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2760 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2761 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2762 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2763 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2764 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2765
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2766 if (a_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 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2769 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2770 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2771
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2772 FloatComplexNDArray result (a_dims);
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 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
2775 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2776 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2777 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2778 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2779
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2780 return result;
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
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2783 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2784 ;;; Local Variables: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2785 ;;; mode: C++ ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2786 ;;; End: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2787 */