annotate src/sparse-xpow.cc @ 5953:164214586706

[project @ 2006-08-22 15:31:32 by jwe]
author jwe
date Tue, 22 Aug 2006 15:31:32 +0000
parents 6b9cec830d72
children 93c65f2a5668
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1 /*
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2
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3 Copyright (C) 2004 David Bateman
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4 Copyright (C) 1998-2004 Andy Adler
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5
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6 Octave is free software; you can redistribute it and/or modify it
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7 under the terms of the GNU General Public License as published by the
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8 Free Software Foundation; either version 2, or (at your option) any
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9 later version.
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10
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11 Octave is distributed in the hope that it will be useful, but WITHOUT
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12 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or
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13 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License
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14 for more details.
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15
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16 You should have received a copy of the GNU General Public License
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17 along with this program; see the file COPYING. If not, write to the
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18 Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor,
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19 Boston, MA 02110-1301, USA.
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20
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21 */
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22
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23 #ifdef HAVE_CONFIG_H
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24 #include <config.h>
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25 #endif
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26
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27 #include <cassert>
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28 #include <climits>
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29
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30 #include "Array-util.h"
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31 #include "oct-cmplx.h"
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32 #include "quit.h"
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33
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34 #include "error.h"
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35 #include "oct-obj.h"
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36 #include "utils.h"
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37
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38 #include "dSparse.h"
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39 #include "CSparse.h"
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40 #include "ov-re-sparse.h"
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41 #include "ov-cx-sparse.h"
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42 #include "sparse-xpow.h"
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43
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44 static inline int
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45 xisint (double x)
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46 {
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47 return (D_NINT (x) == x
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48 && ((x >= 0 && x < INT_MAX)
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49 || (x <= 0 && x > INT_MIN)));
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50 }
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51
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52
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53 // Safer pow functions. Only two make sense for sparse matrices, the
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54 // others should all promote to full matrices.
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55
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56 octave_value
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57 xpow (const SparseMatrix& a, double b)
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58 {
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59 octave_value retval;
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60
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61 octave_idx_type nr = a.rows ();
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62 octave_idx_type nc = a.cols ();
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63
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64 if (nr == 0 || nc == 0 || nr != nc)
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65 error ("for A^b, A must be square");
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66 else
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67 {
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68 if (static_cast<int> (b) == b)
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69 {
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70 int btmp = static_cast<int> (b);
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71 if (btmp == 0)
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72 {
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73 SparseMatrix tmp = SparseMatrix (nr, nr, nr);
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74 for (octave_idx_type i = 0; i < nr; i++)
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75 {
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76 tmp.data (i) = 1.0;
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77 tmp.ridx (i) = i;
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78 }
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79 for (octave_idx_type i = 0; i < nr + 1; i++)
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80 tmp.cidx (i) = i;
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81
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82 retval = tmp;
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83 }
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84 else
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85 {
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86 SparseMatrix atmp;
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87 if (btmp < 0)
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88 {
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89 btmp = -btmp;
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90
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91 octave_idx_type info;
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92 double rcond = 0.0;
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93 MatrixType mattyp (a);
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94
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95 atmp = a.inverse (mattyp, info, rcond, 1);
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96
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97 if (info == -1)
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98 warning ("inverse: matrix singular to machine\
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99 precision, rcond = %g", rcond);
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100 }
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101 else
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102 atmp = a;
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103
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104 SparseMatrix result (atmp);
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105
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106 btmp--;
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107
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108 while (btmp > 0)
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109 {
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110 if (btmp & 1)
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111 result = result * atmp;
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112
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113 btmp >>= 1;
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114
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115 if (btmp > 0)
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116 atmp = atmp * atmp;
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117 }
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118
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119 retval = result;
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120 }
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121 }
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122 else
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123 error ("use full(a) ^ full(b)");
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124 }
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125
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126 return retval;
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127 }
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128
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129 octave_value
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130 xpow (const SparseComplexMatrix& a, double b)
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131 {
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132 octave_value retval;
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133
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134 octave_idx_type nr = a.rows ();
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135 octave_idx_type nc = a.cols ();
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136
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137 if (nr == 0 || nc == 0 || nr != nc)
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138 error ("for A^b, A must be square");
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139 else
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140 {
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141 if (static_cast<int> (b) == b)
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142 {
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143 int btmp = static_cast<int> (b);
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144 if (btmp == 0)
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145 {
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146 SparseMatrix tmp = SparseMatrix (nr, nr, nr);
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147 for (octave_idx_type i = 0; i < nr; i++)
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148 {
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149 tmp.data (i) = 1.0;
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150 tmp.ridx (i) = i;
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151 }
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152 for (octave_idx_type i = 0; i < nr + 1; i++)
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153 tmp.cidx (i) = i;
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154
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155 retval = tmp;
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156 }
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157 else
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158 {
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159 SparseComplexMatrix atmp;
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160 if (btmp < 0)
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161 {
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162 btmp = -btmp;
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163
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164 octave_idx_type info;
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165 double rcond = 0.0;
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166 MatrixType mattyp (a);
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167
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168 atmp = a.inverse (mattyp, info, rcond, 1);
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169
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170 if (info == -1)
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171 warning ("inverse: matrix singular to machine\
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172 precision, rcond = %g", rcond);
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173 }
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174 else
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175 atmp = a;
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176
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177 SparseComplexMatrix result (atmp);
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178
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179 btmp--;
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180
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181 while (btmp > 0)
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182 {
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183 if (btmp & 1)
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184 result = result * atmp;
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185
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186 btmp >>= 1;
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187
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188 if (btmp > 0)
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189 atmp = atmp * atmp;
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190 }
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191
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192 retval = result;
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193 }
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194 }
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195 else
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196 error ("use full(a) ^ full(b)");
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197 }
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198
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199 return retval;
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200 }
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201
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202 // Safer pow functions that work elementwise for matrices.
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203 //
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204 // op2 \ op1: s m cs cm
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205 // +-- +---+---+----+----+
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206 // scalar | | * | 3 | * | 9 |
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207 // +---+---+----+----+
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208 // matrix | 1 | 4 | 7 | 10 |
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209 // +---+---+----+----+
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210 // complex_scalar | * | 5 | * | 11 |
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211 // +---+---+----+----+
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212 // complex_matrix | 2 | 6 | 8 | 12 |
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213 // +---+---+----+----+
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214 //
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215 // * -> not needed.
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216
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217 // FIXME -- these functions need to be fixed so that things
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218 // like
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219 //
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220 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b
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221 //
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222 // and
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223 //
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224 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end
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225 //
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226 // produce identical results. Also, it would be nice if -1^0.5
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227 // produced a pure imaginary result instead of a complex number with a
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228 // small real part. But perhaps that's really a problem with the math
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229 // library...
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230
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231 // -*- 1 -*-
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232 octave_value
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233 elem_xpow (double a, const SparseMatrix& b)
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234 {
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235 octave_value retval;
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236
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237 octave_idx_type nr = b.rows ();
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238 octave_idx_type nc = b.cols ();
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239
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240 double d1, d2;
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241
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242 if (a < 0.0 && ! b.all_integers (d1, d2))
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243 {
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244 Complex atmp (a);
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245 ComplexMatrix result (nr, nc);
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246
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247 for (octave_idx_type j = 0; j < nc; j++)
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248 {
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249 for (octave_idx_type i = 0; i < nr; i++)
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250 {
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251 OCTAVE_QUIT;
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252 result (i, j) = std::pow (atmp, b(i,j));
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253 }
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254 }
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255
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256 retval = result;
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257 }
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258 else
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259 {
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260 Matrix result (nr, nc);
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261
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262 for (octave_idx_type j = 0; j < nc; j++)
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263 {
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264 for (octave_idx_type i = 0; i < nr; i++)
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265 {
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266 OCTAVE_QUIT;
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267 result (i, j) = std::pow (a, b(i,j));
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268 }
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269 }
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270
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271 retval = result;
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272 }
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273
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274 return retval;
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275 }
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276
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277 // -*- 2 -*-
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278 octave_value
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279 elem_xpow (double a, const SparseComplexMatrix& b)
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280 {
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281 octave_idx_type nr = b.rows ();
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282 octave_idx_type nc = b.cols ();
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283
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284 Complex atmp (a);
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285 ComplexMatrix result (nr, nc);
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286
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287 for (octave_idx_type j = 0; j < nc; j++)
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288 {
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289 for (octave_idx_type i = 0; i < nr; i++)
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290 {
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291 OCTAVE_QUIT;
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292 result (i, j) = std::pow (atmp, b(i,j));
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293 }
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294 }
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295
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296 return result;
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297 }
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298
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299 // -*- 3 -*-
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300 octave_value
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301 elem_xpow (const SparseMatrix& a, double b)
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302 {
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303 // FIXME What should a .^ 0 give?? Matlab gives a
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304 // sparse matrix with same structure as a, which is strictly
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305 // incorrect. Keep compatiability.
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306
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307 octave_value retval;
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308
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309 octave_idx_type nz = a.nzmax ();
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310
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311 if (b <= 0.0)
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312 {
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313 octave_idx_type nr = a.rows ();
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314 octave_idx_type nc = a.cols ();
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315
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316 if (static_cast<int> (b) != b && a.any_element_is_negative ())
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317 {
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318 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b)));
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319
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320 // FIXME -- avoid apparent GNU libm bug by
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321 // converting A and B to complex instead of just A.
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322 Complex btmp (b);
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323
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diff changeset
324 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
325 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
326 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
327 OCTAVE_QUIT;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
328
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
329 Complex atmp (a.data (i));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
330
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
331 result (a.ridx(i), j) = std::pow (atmp, btmp);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
332 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
333
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
334 retval = octave_value (result);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
335 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
336 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
337 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
338 Matrix result (nr, nc, (std::pow (0.0, b)));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
339
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
340 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
341 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
342 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
343 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
344 result (a.ridx(i), j) = std::pow (a.data (i), b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
345 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
346
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
347 retval = octave_value (result);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
348 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
349 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
350 else if (static_cast<int> (b) != b && a.any_element_is_negative ())
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
351 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
352 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
353
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
354 for (octave_idx_type i = 0; i < nz; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
355 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
356 OCTAVE_QUIT;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
357
5775
ace8d8d26933 [project @ 2006-04-24 19:13:06 by jwe]
jwe
parents: 5604
diff changeset
358 // FIXME -- avoid apparent GNU libm bug by
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
359 // converting A and B to complex instead of just A.
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
360
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
361 Complex atmp (a.data (i));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
362 Complex btmp (b);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
363
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
364 result.data (i) = std::pow (atmp, btmp);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
365 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
366
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
367 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
368
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
369 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
370 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
371 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
372 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
373 SparseMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
374
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
375 for (octave_idx_type i = 0; i < nz; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
376 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
377 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
378 result.data (i) = std::pow (a.data (i), b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
379 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
380
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
381 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
382
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
383 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
384 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
385
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
386 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
387 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
388
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
389 // -*- 4 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
390 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
391 elem_xpow (const SparseMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
392 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
393 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
394
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
395 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
396 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
397
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
398 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
399 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
400
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
401 if (nr != b_nr || nc != b_nc)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
402 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
403 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
404 return octave_value ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
405 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
406
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
407 int convert_to_complex = 0;
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
408 for (octave_idx_type j = 0; j < nc; j++)
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
409 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
410 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
411 if (a.data(i) < 0.0)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
412 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
413 double btmp = b (a.ridx(i), j);
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
414 if (static_cast<int> (btmp) != btmp)
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
415 {
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
416 convert_to_complex = 1;
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
417 goto done;
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
418 }
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
419 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
420 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
421
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
422 done:
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
423
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
424 // This is a dumb operator for sparse matrices anyway, and there is
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
425 // no sensible way to handle the 0.^0 versus the 0.^x cases. Therefore
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
426 // allocate a full matrix filled for the 0.^0 case and shrink it later
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
427 // as needed
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
428
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
429 if (convert_to_complex)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
430 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
431 SparseComplexMatrix complex_result (nr, nc, Complex(1.0, 0.0));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
432
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
433 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
434 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
435 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
436 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
437 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
438 complex_result.xelem(a.ridx(i), j) =
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
439 std::pow (Complex(a.data(i)), Complex(b(a.ridx(i), j)));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
440 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
441 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
442 complex_result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
443 retval = complex_result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
444 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
445 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
446 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
447 SparseMatrix result (nr, nc, 1.0);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
448
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
449 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
450 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
451 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
452 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
453 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
454 result.xelem(a.ridx(i), j) = std::pow (a.data(i),
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
455 b (a.ridx(i), j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
456 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
457 }
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
458 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
459 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
460 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
461
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
462 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
463 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
464
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
465 // -*- 5 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
466 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
467 elem_xpow (const SparseMatrix& a, const Complex& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
468 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
469 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
470
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
471 if (b == 0.0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
472 // Can this case ever happen, due to automatic retyping with maybe_mutate?
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
473 retval = octave_value (NDArray (a.dims (), 1));
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
474 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
475 {
5604
2857357f9d3c [project @ 2006-01-31 18:22:59 by jwe]
jwe
parents: 5506
diff changeset
476 octave_idx_type nz = a.nzmax ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
477 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
478
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
479 for (octave_idx_type i = 0; i < nz; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
480 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
481 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
482 result.data (i) = std::pow (Complex (a.data (i)), b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
483 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
484
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
485 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
486
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
487 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
488 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
489
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
490 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
491 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
492
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
493 // -*- 6 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
494 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
495 elem_xpow (const SparseMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
496 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
497 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
498 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
499
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
500 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
501 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
502
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
503 if (nr != b_nr || nc != b_nc)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
504 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
505 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
506 return octave_value ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
507 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
508
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
509 SparseComplexMatrix result (nr, nc, Complex(1.0, 0.0));
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
510 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
511 {
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
512 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
513 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
514 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
515 result.xelem(a.ridx(i), j) = std::pow (a.data(i), b (a.ridx(i), j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
516 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
517 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
518
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
519 result.maybe_compress (true);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
520
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
521 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
522 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
523
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
524 // -*- 7 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
525 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
526 elem_xpow (const Complex& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
527 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
528 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
529 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
530
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
531 ComplexMatrix result (nr, nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
532
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
533 for (octave_idx_type j = 0; j < nc; j++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
534 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
535 for (octave_idx_type i = 0; i < nr; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
536 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
537 OCTAVE_QUIT;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
538 double btmp = b (i, j);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
539 if (xisint (btmp))
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
540 result (i, j) = std::pow (a, static_cast<int> (btmp));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
541 else
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
542 result (i, j) = std::pow (a, btmp);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
543 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
544 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
545
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
546 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
547 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
548
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
549 // -*- 8 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
550 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
551 elem_xpow (const Complex& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
552 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
553 octave_idx_type nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
554 octave_idx_type nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
555
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
556 ComplexMatrix result (nr, nc);
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
557 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
558 for (octave_idx_type i = 0; i < nr; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
559 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
560 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
561 result (i, j) = std::pow (a, b (i, j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
562 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
563
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
564 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
565 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
566
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
567 // -*- 9 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
568 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
569 elem_xpow (const SparseComplexMatrix& a, double b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
570 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
571 octave_value retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
572
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
573 if (b <= 0)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
574 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
575 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
576 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
577
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
578 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b)));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
579
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
580 if (xisint (b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
581 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
582 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
583 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
584 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
585 OCTAVE_QUIT;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
586 result (a.ridx(i), j) =
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
587 std::pow (a.data (i), static_cast<int> (b));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
588 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
589 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
590 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
591 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
592 for (octave_idx_type j = 0; j < nc; j++)
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
593 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
594 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
595 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
596 result (a.ridx(i), j) = std::pow (a.data (i), b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
597 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
598 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
599
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
600 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
601 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
602 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
603 {
5604
2857357f9d3c [project @ 2006-01-31 18:22:59 by jwe]
jwe
parents: 5506
diff changeset
604 octave_idx_type nz = a.nzmax ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
605
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
606 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
607
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
608 if (xisint (b))
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
609 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
610 for (octave_idx_type i = 0; i < nz; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
611 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
612 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
613 result.data (i) = std::pow (a.data (i), static_cast<int> (b));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
614 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
615 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
616 else
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
617 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
618 for (octave_idx_type i = 0; i < nz; i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
619 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
620 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
jwe
parents: 5785
diff changeset
621 result.data (i) = std::pow (a.data (i), b);
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
622 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
623 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
624
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
625 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
626
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
627 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
628 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
629
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
630 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
631 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
632
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
633 // -*- 10 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
634 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
635 elem_xpow (const SparseComplexMatrix& a, const SparseMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
636 {
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
637 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
638 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
639
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
jwe
parents: 5164
diff changeset
640 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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parents: 5164
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641 octave_idx_type b_nc = b.cols ();
5164
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642
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643 if (nr != b_nr || nc != b_nc)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
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644 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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645 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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646 return octave_value ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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647 }
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648
5953
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parents: 5785
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649 SparseComplexMatrix result (nr, nc, Complex(1.0, 0.0));
5275
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650 for (octave_idx_type j = 0; j < nc; j++)
5164
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651 {
5953
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652 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
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653 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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654 OCTAVE_QUIT;
5953
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parents: 5785
diff changeset
655 double btmp = b (a.ridx(i), j);
5164
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656 Complex tmp;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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657
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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658 if (xisint (btmp))
5953
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parents: 5785
diff changeset
659 result.xelem(a.ridx(i), j) = std::pow (a.data (i),
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660 static_cast<int> (btmp));
5164
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661 else
5953
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parents: 5785
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662 result.xelem(a.ridx(i), j) = std::pow (a.data (i), btmp);
5164
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663 }
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diff changeset
664 }
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parents:
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665
5953
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666 result.maybe_compress (true);
5164
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667
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668 return result;
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parents:
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669 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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670
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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671 // -*- 11 -*-
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672 octave_value
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673 elem_xpow (const SparseComplexMatrix& a, const Complex& b)
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parents:
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674 {
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675 octave_value retval;
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parents:
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676
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parents:
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677 if (b == 0.0)
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parents:
diff changeset
678 // Can this case ever happen, due to automatic retyping with maybe_mutate?
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parents:
diff changeset
679 retval = octave_value (NDArray (a.dims (), 1));
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parents:
diff changeset
680 else
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jwe
parents:
diff changeset
681 {
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jwe
parents:
diff changeset
682
5604
2857357f9d3c [project @ 2006-01-31 18:22:59 by jwe]
jwe
parents: 5506
diff changeset
683 octave_idx_type nz = a.nzmax ();
5164
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parents:
diff changeset
684
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
685 SparseComplexMatrix result (a);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
686
5275
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parents: 5164
diff changeset
687 for (octave_idx_type i = 0; i < nz; i++)
5164
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parents:
diff changeset
688 {
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parents:
diff changeset
689 OCTAVE_QUIT;
5953
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parents: 5785
diff changeset
690 result.data (i) = std::pow (a.data (i), b);
5164
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parents:
diff changeset
691 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
692
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
693 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
694
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
695 retval = result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
696 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
697
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
698 return retval;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
699 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
700
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
701 // -*- 12 -*-
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
702 octave_value
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
703 elem_xpow (const SparseComplexMatrix& a, const SparseComplexMatrix& b)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
704 {
5275
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parents: 5164
diff changeset
705 octave_idx_type nr = a.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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parents: 5164
diff changeset
706 octave_idx_type nc = a.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
707
5275
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parents: 5164
diff changeset
708 octave_idx_type b_nr = b.rows ();
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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parents: 5164
diff changeset
709 octave_idx_type b_nc = b.cols ();
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
710
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
711 if (nr != b_nr || nc != b_nc)
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
712 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
713 gripe_nonconformant ("operator .^", nr, nc, b_nr, b_nc);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
714 return octave_value ();
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
715 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
716
5953
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jwe
parents: 5785
diff changeset
717 SparseComplexMatrix result (nr, nc, Complex(1.0, 0.0));
5275
23b37da9fd5b [project @ 2005-04-08 16:07:35 by jwe]
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parents: 5164
diff changeset
718 for (octave_idx_type j = 0; j < nc; j++)
5164
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jwe
parents:
diff changeset
719 {
5953
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parents: 5785
diff changeset
720 for (octave_idx_type i = a.cidx(j); i < a.cidx(j+1); i++)
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
721 {
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
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parents:
diff changeset
722 OCTAVE_QUIT;
5953
164214586706 [project @ 2006-08-22 15:31:32 by jwe]
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parents: 5785
diff changeset
723 result.xelem(a.ridx(i), j) = std::pow (a.data (i), b (a.ridx(i), j));
5164
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
724 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
725 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
726 result.maybe_compress (true);
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
727
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
728 return result;
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
729 }
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
730
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
731 /*
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
732 ;;; Local Variables: ***
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
733 ;;; mode: C++ ***
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
734 ;;; End: ***
57077d0ddc8e [project @ 2005-02-25 19:55:24 by jwe]
jwe
parents:
diff changeset
735 */