annotate src/xpow.cc @ 10129:ab80681c44d9

optimize third powers
author Jaroslav Hajek <highegg@gmail.com>
date Mon, 18 Jan 2010 14:14:08 +0100
parents f39b98237d5c
children 829e69ec3110
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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 {
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1203 NoAlias<NDArray> result (a.dims ());
4543
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++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1209 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1210 }
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1211 else if (ib == 3)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1212 {
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1213 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1214 result(i) = a(i) * a(i) * a(i);
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1215 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1216 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1217 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1218 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
1219 result(i) = 1.0 / a(i);
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1220 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1221 else
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 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1224 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1225 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1226 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1227 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1228 }
4543
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 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1231 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1232
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1233 return retval;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1236 // -*- 4 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1237 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1238 elem_xpow (const NDArray& a, const NDArray& b)
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 octave_value retval;
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1243 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1246 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1247 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1248 return octave_value ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1249 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1250
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1251 int len = a.length ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1252
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1253 bool convert_to_complex = false;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1254
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1255 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
1256 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1257 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1258 double atmp = a(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1259 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1260 if (atmp < 0.0 && static_cast<int> (btmp) != btmp)
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 convert_to_complex = true;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1263 goto done;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1264 }
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1267 done:
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1268
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1269 if (convert_to_complex)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1270 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1271 ComplexNDArray complex_result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1272
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1273 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
1274 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1275 OCTAVE_QUIT;
5665
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1276 Complex atmp (a(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1277 Complex btmp (b(i));
d42bd103de79 [project @ 2006-03-14 19:13:40 by jwe]
jwe
parents: 5664
diff changeset
1278 complex_result(i) = std::pow (atmp, btmp);
4543
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1281 retval = complex_result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1282 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1283 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1284 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1285 NDArray result (a_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1286
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1287 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
1288 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1289 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1290 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1291 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1292
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1293 retval = result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1294 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1295
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1296 return retval;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1297 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1298
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1299 // -*- 5 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1300 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1301 elem_xpow (const NDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1302 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1303 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1304
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1305 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
1306 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1307 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1308 result(i) = std::pow (Complex (a(i)), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1309 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1310
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1311 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1314 // -*- 6 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1315 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1316 elem_xpow (const NDArray& a, const ComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1319 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1322 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1323 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1324 return octave_value ();
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1327 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1328
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1329 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
1330 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1331 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1332 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
1333 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1334
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1335 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1338 // -*- 7 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1339 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1340 elem_xpow (const Complex& a, const NDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1341 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1342 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1343
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1344 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
1345 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1346 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1347 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1348 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1349 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
1350 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1351 result(i) = std::pow (a, btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1352 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1353
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1354 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1357 // -*- 8 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1358 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1359 elem_xpow (const Complex& a, const ComplexNDArray& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1360 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1361 ComplexNDArray result (b.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1362
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1363 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
1364 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1365 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1366 result(i) = std::pow (a, b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1367 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1368
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1369 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1372 // -*- 9 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1373 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1374 elem_xpow (const ComplexNDArray& a, double b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1375 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1376 ComplexNDArray result (a.dims ());
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1377
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1378 if (xisint (b))
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1379 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1380 if (b == -1)
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 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
1384 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1385 else
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 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1388 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1389 OCTAVE_QUIT;
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1390 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1391 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
1392 }
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1393 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1394 else
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1395 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1396 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
1397 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1398 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1399 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1400 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1401 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1402
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1403 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1406 // -*- 10 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1407 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1408 elem_xpow (const ComplexNDArray& a, const NDArray& b)
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1411 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1414 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1415 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1416 return octave_value ();
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1419 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1420
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1421 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
1422 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1423 OCTAVE_QUIT;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1424 double btmp = b(i);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1425 if (xisint (btmp))
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1426 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
1427 else
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1428 result(i) = std::pow (a(i), btmp);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1429 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1430
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1431 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1434 // -*- 11 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1435 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1436 elem_xpow (const ComplexNDArray& a, const Complex& b)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1437 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1438 ComplexNDArray result (a.dims ());
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1439
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1440 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
1441 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1442 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1443 result(i) = std::pow (a(i), b);
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1444 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1445
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1446 return result;
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1449 // -*- 12 -*-
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1450 octave_value
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1451 elem_xpow (const ComplexNDArray& a, const ComplexNDArray& b)
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 dim_vector a_dims = a.dims ();
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1454 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1457 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1458 gripe_nonconformant ("operator .^", a_dims, b_dims);
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1459 return octave_value ();
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
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1462 ComplexNDArray result (a_dims);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1463
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5260
diff changeset
1464 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
1465 {
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1466 OCTAVE_QUIT;
5260
deed800e7bef [project @ 2005-03-30 23:18:58 by jwe]
jwe
parents: 4790
diff changeset
1467 result(i) = std::pow (a(i), b(i));
4543
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1468 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1469
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1470 return result;
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1471 }
79df15d4470c [project @ 2003-10-18 03:53:52 by jwe]
jwe
parents: 4153
diff changeset
1472
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1473 static inline int
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1474 xisint (float x)
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 return (D_NINT (x) == x
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1477 && ((x >= 0 && x < INT_MAX)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1478 || (x <= 0 && x > INT_MIN)));
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1481 // Safer pow functions.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1482 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1483 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1484 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1485 // scalar | | 1 | 5 | 7 | 11 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1486 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1487 // matrix | 2 | * | 8 | * |
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 // complex_scalar | 3 | 6 | 9 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1490 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1491 // complex_matrix | 4 | * | 10 | * |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1492 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1493
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1494 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1495 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1496 xpow (float a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1497 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1498 float retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1499
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
1500 if (a < 0.0 && ! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1501 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1502 FloatComplex atmp (a);
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 std::pow (atmp, b);
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1507 retval = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1508
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1509 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1512 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1513 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1514 xpow (float a, const FloatMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1517
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1518 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1519 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1520
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1521 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1522 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1523 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1524 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1525 FloatEIG b_eig (b);
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 if (! error_state)
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 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1530 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1531
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1532 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
1533 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1534 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1535 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1536 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1537 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1538 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1539 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1540 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1543 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1544 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1545 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1546 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1547
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1548 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1551 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1552 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1553 xpow (float a, const FloatComplex& b)
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 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1556 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1557 result = std::pow (atmp, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1558 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1561 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1562 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1563 xpow (float a, const FloatComplexMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1566
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1567 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1568 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1569
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1570 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1571 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1572 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1573 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1574 FloatEIG b_eig (b);
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 if (! error_state)
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 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1579 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1580
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1581 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
1582 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1583 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1584 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1585 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1586 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1587 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1588 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1589 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1592 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1593 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1594 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1595 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1596
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1597 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1600 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1601 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1602 xpow (const FloatMatrix& a, float b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1605
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1606 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1607 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1608
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1609 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1610 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1611 else
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 if (static_cast<int> (b) == b)
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 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1616 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1617 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1618 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1619 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1620 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1621 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1622 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1623 // 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
1624 // large...
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 FloatMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1627 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1628 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1629 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1630
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1631 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1632 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1633 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1634
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1635 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1636
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1637 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1638 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1639 precision, rcond = %g", rcond);
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1642 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1643
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1644 FloatMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1645
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1646 btmp--;
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 while (btmp > 0)
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 & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1651 result = result * 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 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1654
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1655 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1656 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1657 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1658
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1659 retval = result;
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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1662 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1663 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1664 FloatEIG a_eig (a);
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 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1667 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1668 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1669 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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
1672 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1673
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1674 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1679 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1680 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1681 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1682
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1683 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1684 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1685
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1686 // -*- 5d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1687 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1688 xpow (const FloatDiagMatrix& a, float b)
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 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1691
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1692 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1693 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1694
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1695 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1696 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1697 else
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1698 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1699 if (static_cast<int> (b) == b)
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 FloatDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1702 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
1703 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
1704 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1705 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1706 else
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 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1709 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
1710 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
1711 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1712 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1713 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1714
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1715 return retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1716 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1717
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1718 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1719 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1720 xpow (const FloatMatrix& a, const FloatComplex& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1723
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1724 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1725 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1726
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1727 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1728 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1729 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1730 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1731 FloatEIG a_eig (a);
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 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1734 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1735 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1736 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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
1739 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1740
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1741 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1744 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1745 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1746 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1747 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1748
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1749 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1752 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1753 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1754 xpow (const FloatComplex& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1755 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1756 FloatComplex result;
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 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1759 result = std::pow (a, static_cast<int> (b));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1760 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1761 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1762
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1763 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1766 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1767 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1768 xpow (const FloatComplex& a, const FloatMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1771
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1772 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1773 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1774
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1775 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1776 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1777 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1778 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1779 FloatEIG b_eig (b);
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 if (! error_state)
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 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1784 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1785
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1786 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
1787 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1788 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1789 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1790 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1791 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1792 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1793 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1794 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1797 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1798 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1799 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1800 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1801
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1802 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1805 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1806 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1807 xpow (const FloatComplex& a, const FloatComplex& b)
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 FloatComplex result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1810 result = std::pow (a, b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1811 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1814 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1815 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1816 xpow (const FloatComplex& a, const FloatComplexMatrix& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1819
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1820 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1821 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1822
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1823 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1824 error ("for x^A, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1825 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1826 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1827 FloatEIG b_eig (b);
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 if (! error_state)
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 FloatComplexColumnVector lambda (b_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1832 FloatComplexMatrix Q (b_eig.eigenvectors ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1833
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1834 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
1835 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1836 FloatComplex elt = lambda(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1837 if (std::imag (elt) == 0.0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1838 lambda(i) = std::pow (a, std::real (elt));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1839 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1840 lambda(i) = std::pow (a, elt);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1841 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1842 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1845 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1846 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1847 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1848 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1849
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1850 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1853 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1854 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1855 xpow (const FloatComplexMatrix& a, float b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1858
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1859 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1860 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1861
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1862 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1863 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1864 else
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 if (static_cast<int> (b) == b)
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 int btmp = static_cast<int> (b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1869 if (btmp == 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1870 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1871 retval = FloatDiagMatrix (nr, nr, 1.0);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1872 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1873 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1874 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1875 // Too much copying?
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1876 // 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
1877 // large...
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 FloatComplexMatrix atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1880 if (btmp < 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1881 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1882 btmp = -btmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1883
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1884 octave_idx_type info;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1885 float rcond = 0.0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1886 MatrixType mattype (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1887
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1888 atmp = a.inverse (mattype, info, rcond, 1);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1889
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1890 if (info == -1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1891 warning ("inverse: matrix singular to machine\
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1892 precision, rcond = %g", rcond);
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1895 atmp = a;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1896
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1897 FloatComplexMatrix result (atmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1898
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1899 btmp--;
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 while (btmp > 0)
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 & 1)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1904 result = result * 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 btmp >>= 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1907
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1908 if (btmp > 0)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1909 atmp = atmp * atmp;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1910 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1911
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1912 retval = result;
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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1915 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1916 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1917 FloatEIG a_eig (a);
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 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1920 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1921 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1922 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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
1925 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1926
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1927 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1932 error ("xpow: matrix diagonalization failed");
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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1935
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1936 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1939 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1940 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1941 xpow (const FloatComplexMatrix& a, const FloatComplex& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1944
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1945 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1946 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1947
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1948 if (nr == 0 || nc == 0 || nr != nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1949 error ("for A^b, A must be square");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1950 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1951 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1952 FloatEIG a_eig (a);
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 if (! error_state)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1955 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1956 FloatComplexColumnVector lambda (a_eig.eigenvalues ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1957 FloatComplexMatrix Q (a_eig.eigenvectors ());
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 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
1960 lambda(i) = std::pow (lambda(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1961
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1962 FloatComplexDiagMatrix D (lambda);
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 retval = FloatComplexMatrix (Q * D * Q.inverse ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1965 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1966 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1967 error ("xpow: matrix diagonalization failed");
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1968 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1969
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1970 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1971 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
1972
8382
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1973 // -*- 12d -*-
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1974 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1975 xpow (const FloatComplexDiagMatrix& a, const FloatComplex& b)
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 octave_value retval;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1978
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1979 octave_idx_type nr = a.rows ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1980 octave_idx_type nc = a.cols ();
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1981
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1982 if (nr == 0 || nc == 0 || nr != nc)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1983 error ("for A^b, A must be square");
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1984 else
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 FloatComplexDiagMatrix r (nr, nc);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1987 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
1988 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
1989 retval = r;
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1990 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1991
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1992 return retval;
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
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1995 // mixed
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1996 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1997 xpow (const FloatComplexDiagMatrix& a, float b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1998 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
1999 return xpow (a, static_cast<FloatComplex> (b));
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2000 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2001
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2002 octave_value
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2003 xpow (const FloatDiagMatrix& a, const FloatComplex& b)
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2004 {
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2005 return xpow (FloatComplexDiagMatrix (a), b);
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2006 }
9b20a4847056 implement scalar powers of diag matrices
Jaroslav Hajek <highegg@gmail.com>
parents: 7789
diff changeset
2007
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2008 // Safer pow functions that work elementwise for matrices.
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2009 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2010 // op2 \ op1: s m cs cm
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2011 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2012 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2013 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2014 // matrix | 1 | 4 | 7 | 10 |
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 // complex_scalar | * | 5 | * | 11 |
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 // complex_matrix | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2019 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2020 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2021 // * -> not needed.
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 // 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
2024 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2025 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2026 // 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
2027 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2028 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2029 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2030 // 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
2031 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2032 // 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
2033 // 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
2034 // 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
2035 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2036
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2037 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2038 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2039 elem_xpow (float a, const FloatMatrix& b)
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 octave_value retval;
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2044 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2045
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2046 float d1, d2;
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 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
2049 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2050 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2051 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2052
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2053 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
2054 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
2055 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2056 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2057 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
2058 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2059
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2060 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2061 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2062 else
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 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2065
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2066 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
2067 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
2068 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2069 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2070 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
2071 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2072
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2073 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2074 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2075
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2076 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2079 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2080 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2081 elem_xpow (float a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2082 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2083 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2084 octave_idx_type nc = b.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2085
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2086 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2087 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2088
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2089 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
2090 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
2091 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2092 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2093 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
2094 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2095
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2096 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2099 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2100 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2101 elem_xpow (const FloatMatrix& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2102 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2103 octave_value retval;
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2106 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2107
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2108 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
2109 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2110 FloatComplexMatrix result (nr, nc);
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 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
2113 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
2114 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2115 OCTAVE_QUIT;
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 FloatComplex atmp (a (i, j));
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 result (i, j) = std::pow (atmp, b);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2122 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2123 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2124 else
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 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2127
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2128 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
2129 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
2130 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2131 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2132 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
2133 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2134
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2135 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2136 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2137
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2138 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2141 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2142 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2143 elem_xpow (const FloatMatrix& a, const FloatMatrix& b)
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_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2146
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2147 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2148 octave_idx_type nc = a.cols ();
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 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2151 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2154 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2155 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
2156 return octave_value ();
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2159 int convert_to_complex = 0;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2160 for (octave_idx_type j = 0; j < nc; j++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2161 for (octave_idx_type i = 0; i < nr; i++)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2162 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2163 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2164 float atmp = a (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2165 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2166 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
2167 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2168 convert_to_complex = 1;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2169 goto done;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2170 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2171 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2172
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2173 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2174
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2175 if (convert_to_complex)
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 FloatComplexMatrix complex_result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2178
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2179 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
2180 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
2181 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2182 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2183 FloatComplex atmp (a (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2184 FloatComplex btmp (b (i, j));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2185 complex_result (i, j) = std::pow (atmp, btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2188 retval = complex_result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2189 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2190 else
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 FloatMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2193
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2194 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
2195 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
2196 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2197 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2198 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
2199 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2200
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2201 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2202 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2203
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2204 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2207 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2208 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2209 elem_xpow (const FloatMatrix& a, const FloatComplex& b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2212 octave_idx_type nc = a.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2215
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2216 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
2217 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
2218 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2219 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2220 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
2221 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2222
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2223 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2226 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2227 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2228 elem_xpow (const FloatMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2229 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2230 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2231 octave_idx_type nc = a.cols ();
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 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2234 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2237 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2238 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
2239 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2240 }
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2243
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2244 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
2245 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
2246 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2247 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2248 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
2249 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2250
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2251 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2254 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2255 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2256 elem_xpow (const FloatComplex& a, const FloatMatrix& b)
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2259 octave_idx_type nc = b.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2262
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2263 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
2264 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
2265 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2266 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2267 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2268 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2269 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
2270 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2271 result (i, j) = std::pow (a, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2272 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2273
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2274 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2277 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2278 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2279 elem_xpow (const FloatComplex& a, const FloatComplexMatrix& b)
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 octave_idx_type nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2282 octave_idx_type nc = b.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2285
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2286 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
2287 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
2288 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2289 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2290 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
2291 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2292
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2293 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2296 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2297 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2298 elem_xpow (const FloatComplexMatrix& a, float b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2301 octave_idx_type nc = a.cols ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2302
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2303 FloatComplexMatrix result (nr, nc);
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 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2306 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2307 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
2308 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
2309 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2310 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2311 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
2312 }
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2315 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2316 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
2317 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
2318 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2319 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2320 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
2321 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2322 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2323
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2324 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2327 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2328 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2329 elem_xpow (const FloatComplexMatrix& a, const FloatMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2330 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2331 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2332 octave_idx_type nc = a.cols ();
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 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2335 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2338 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2339 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
2340 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2341 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2342
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2343 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2344
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2345 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
2346 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
2347 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2348 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2349 float btmp = b (i, j);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2350 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2351 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
2352 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2353 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
2354 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2355
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2356 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2359 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2360 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2361 elem_xpow (const FloatComplexMatrix& a, const FloatComplex& b)
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 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2364 octave_idx_type nc = a.cols ();
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2367
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2368 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
2369 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
2370 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2371 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2372 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
2373 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2374
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2375 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2378 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2379 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2380 elem_xpow (const FloatComplexMatrix& a, const FloatComplexMatrix& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2381 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2382 octave_idx_type nr = a.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2383 octave_idx_type nc = a.cols ();
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 octave_idx_type b_nr = b.rows ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2386 octave_idx_type b_nc = b.cols ();
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 if (nr != b_nr || nc != b_nc)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2389 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2390 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
2391 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2392 }
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 FloatComplexMatrix result (nr, nc);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2395
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2396 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
2397 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
2398 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2399 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2400 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
2401 }
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 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2406 // 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
2407 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2408 // op2 \ op1: s nd cs cnd
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2409 // +-- +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2410 // scalar | | * | 3 | * | 9 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2411 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2412 // N_d | 1 | 4 | 7 | 10 |
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 // complex_scalar | * | 5 | * | 11 |
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 // complex_N_d | 2 | 6 | 8 | 12 |
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2417 // +---+---+----+----+
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2418 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2419 // * -> not needed.
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 // 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
2422 // like
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2423 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2424 // 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
2425 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2426 // and
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2427 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2428 // 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
2429 //
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2430 // 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
2431 // 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
2432 // 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
2433 // library...
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2434
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2435 // -*- 1 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2436 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2437 elem_xpow (float a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2438 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2439 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2440
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2441 float d1, d2;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2442
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2443 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
2444 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2445 FloatComplex atmp (a);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2446 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2447 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
2448 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2449 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2450 result(i) = std::pow (atmp, b(i));
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2453 retval = result;
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 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2456 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2457 FloatNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2458 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
2459 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2460 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2461 result (i) = std::pow (a, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2462 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2463
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2464 retval = result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2465 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2466
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2467 return retval;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2470 // -*- 2 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2471 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2472 elem_xpow (float a, const FloatComplexNDArray& b)
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 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2475 FloatComplex atmp (a);
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 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
2478 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2479 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2480 result(i) = std::pow (atmp, b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2481 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2482
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2483 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2486 // -*- 3 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2487 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2488 elem_xpow (const FloatNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2489 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2490 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2491
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2492 if (! xisint (b))
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2493 {
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2494 if (a.any_element_is_negative ())
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2495 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2496 FloatComplexNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2497
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2498 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2499 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2500 OCTAVE_QUIT;
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 FloatComplex atmp (a (i));
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 result(i) = std::pow (atmp, b);
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
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2507 retval = result;
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 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2510 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2511 FloatNDArray result (a.dims ());
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2512 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2513 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2514 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2515 result(i) = std::pow (a(i), b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2516 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2517
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2518 retval = result;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2519 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2520 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2521 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2522 {
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2523 NoAlias<FloatNDArray> result (a.dims ());
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2524
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2525 int ib = static_cast<int> (b);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2526 if (ib == 2)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2527 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2528 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2529 result(i) = a(i) * a(i);
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2530 }
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2531 else if (ib == 3)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2532 {
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2533 for (octave_idx_type i = 0; i < a.length (); i++)
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2534 result(i) = a(i) * a(i) * a(i);
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2535 }
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2536 else if (ib == -1)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2537 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2538 for (octave_idx_type i = 0; i < a.length (); i++)
10129
ab80681c44d9 optimize third powers
Jaroslav Hajek <highegg@gmail.com>
parents: 9123
diff changeset
2539 result(i) = 1.0f / a(i);
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2540 }
8978
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2541 else
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2542 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2543 for (octave_idx_type i = 0; i < a.length (); i++)
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2544 {
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2545 OCTAVE_QUIT;
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2546 result(i) = std::pow (a(i), ib);
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2547 }
0a58c4cd1405 optimize element-wise power
Jaroslav Hajek <highegg@gmail.com>
parents: 8960
diff changeset
2548 }
7789
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 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2553 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2554 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2555
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2556 // -*- 4 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2557 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2558 elem_xpow (const FloatNDArray& a, const FloatNDArray& b)
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 octave_value retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2561
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2562 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2563 dim_vector b_dims = b.dims ();
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 if (a_dims != b_dims)
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 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2568 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2569 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2570
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2571 int len = a.length ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2572
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2573 bool convert_to_complex = false;
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 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
2576 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2577 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2578 float atmp = a(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2579 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2580 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
2581 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2582 convert_to_complex = true;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2583 goto done;
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 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2586
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2587 done:
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2588
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2589 if (convert_to_complex)
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 FloatComplexNDArray complex_result (a_dims);
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 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
2594 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2595 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2596 FloatComplex atmp (a(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2597 FloatComplex btmp (b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2598 complex_result(i) = std::pow (atmp, btmp);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2599 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2600
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2601 retval = complex_result;
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 else
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 FloatNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2606
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2607 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
2608 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2609 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2610 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2611 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2612
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2613 retval = result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2616 return retval;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2617 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2618
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2619 // -*- 5 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2620 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2621 elem_xpow (const FloatNDArray& a, const FloatComplex& b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2624
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2625 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
2626 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2627 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2628 result(i) = std::pow (FloatComplex (a(i)), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2629 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2630
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2631 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2634 // -*- 6 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2635 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2636 elem_xpow (const FloatNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2637 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2638 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2639 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2640
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2641 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2642 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2643 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2644 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2645 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2646
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2647 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2648
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2649 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
2650 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2651 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2652 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
2653 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2654
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2655 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2656 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2657
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2658 // -*- 7 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2659 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2660 elem_xpow (const FloatComplex& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2661 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2662 FloatComplexNDArray result (b.dims ());
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 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
2665 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2666 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2667 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2668 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2669 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
2670 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2671 result(i) = std::pow (a, btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2674 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2675 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2676
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2677 // -*- 8 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2678 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2679 elem_xpow (const FloatComplex& a, const FloatComplexNDArray& b)
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 FloatComplexNDArray result (b.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2682
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2683 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
2684 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2685 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2686 result(i) = std::pow (a, b(i));
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2689 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2690 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2691
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2692 // -*- 9 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2693 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2694 elem_xpow (const FloatComplexNDArray& a, float b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2695 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2696 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2697
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2698 if (xisint (b))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2699 {
8979
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2700 if (b == -1)
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 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2703 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
2704 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2705 else
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2706 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2707 for (octave_idx_type i = 0; i < a.length (); i++)
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2708 {
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2709 OCTAVE_QUIT;
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2710 result(i) = std::pow (a(i), static_cast<int> (b));
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2711 }
a7c00773a089 optimize also .^-1 case
Jaroslav Hajek <highegg@gmail.com>
parents: 8978
diff changeset
2712 }
7789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2713 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2714 else
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 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
2717 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2718 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2719 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2720 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2721 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2722
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2723 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2726 // -*- 10 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2727 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2728 elem_xpow (const FloatComplexNDArray& a, const FloatNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2729 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2730 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2731 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2732
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2733 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2734 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2735 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2736 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2737 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2738
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2739 FloatComplexNDArray result (a_dims);
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 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
2742 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2743 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2744 float btmp = b(i);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2745 if (xisint (btmp))
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2746 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
2747 else
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2748 result(i) = std::pow (a(i), btmp);
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2751 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2752 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2753
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2754 // -*- 11 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2755 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2756 elem_xpow (const FloatComplexNDArray& a, const FloatComplex& b)
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 FloatComplexNDArray result (a.dims ());
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2759
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2760 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
2761 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2762 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2763 result(i) = std::pow (a(i), b);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2764 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2765
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2766 return result;
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
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2769 // -*- 12 -*-
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2770 octave_value
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2771 elem_xpow (const FloatComplexNDArray& a, const FloatComplexNDArray& b)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2772 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2773 dim_vector a_dims = a.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2774 dim_vector b_dims = b.dims ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2775
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2776 if (a_dims != b_dims)
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2777 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2778 gripe_nonconformant ("operator .^", a_dims, b_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2779 return octave_value ();
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2780 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2781
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2782 FloatComplexNDArray result (a_dims);
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2783
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2784 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
2785 {
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2786 OCTAVE_QUIT;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2787 result(i) = std::pow (a(i), b(i));
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2788 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2789
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2790 return result;
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2791 }
82be108cc558 First attempt at single precision tyeps
David Bateman <dbateman@free.fr>
parents: 7578
diff changeset
2792
1
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2793 /*
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2794 ;;; Local Variables: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2795 ;;; mode: C++ ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2796 ;;; End: ***
78fd87e624cb [project @ 1993-08-08 01:13:40 by jwe]
jwe
parents:
diff changeset
2797 */