Mercurial > octave
annotate libinterp/corefcn/sparse-xpow.cc @ 30564:796f54d4ddbf stable
update Octave Project Developers copyright for the new year
In files that have the "Octave Project Developers" copyright notice,
update for 2021.
In all .txi and .texi files except gpl.txi and gpl.texi in the
doc/liboctave and doc/interpreter directories, change the copyright
to "Octave Project Developers", the same as used for other source
files. Update copyright notices for 2022 (not done since 2019). For
gpl.txi and gpl.texi, change the copyright notice to be "Free Software
Foundation, Inc." and leave the date at 2007 only because this file
only contains the text of the GPL, not anything created by the Octave
Project Developers.
Add Paul Thomas to contributors.in.
author | John W. Eaton <jwe@octave.org> |
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date | Tue, 28 Dec 2021 18:22:40 -0500 |
parents | a61e1a0f6024 |
children | 45984c799215 |
rev | line source |
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1 //////////////////////////////////////////////////////////////////////// |
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2 // |
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3 // Copyright (C) 1998-2022 The Octave Project Developers |
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4 // |
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5 // See the file COPYRIGHT.md in the top-level directory of this |
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6 // distribution or <https://octave.org/copyright/>. |
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7 // |
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8 // This file is part of Octave. |
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9 // |
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10 // Octave is free software: you can redistribute it and/or modify it |
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11 // under the terms of the GNU General Public License as published by |
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12 // the Free Software Foundation, either version 3 of the License, or |
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13 // (at your option) any later version. |
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14 // |
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15 // Octave is distributed in the hope that it will be useful, but |
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16 // WITHOUT ANY WARRANTY; without even the implied warranty of |
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17 // MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the |
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18 // GNU General Public License for more details. |
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19 // |
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20 // You should have received a copy of the GNU General Public License |
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21 // along with Octave; see the file COPYING. If not, see |
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22 // <https://www.gnu.org/licenses/>. |
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23 // |
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24 //////////////////////////////////////////////////////////////////////// |
5164 | 25 |
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26 #if defined (HAVE_CONFIG_H) |
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27 # include "config.h" |
5164 | 28 #endif |
29 | |
30 #include <cassert> | |
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31 |
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32 #include <limits> |
5164 | 33 |
34 #include "Array-util.h" | |
35 #include "oct-cmplx.h" | |
36 #include "quit.h" | |
37 | |
38 #include "error.h" | |
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39 #include "ovl.h" |
5164 | 40 #include "utils.h" |
41 | |
42 #include "dSparse.h" | |
43 #include "CSparse.h" | |
44 #include "ov-re-sparse.h" | |
45 #include "ov-cx-sparse.h" | |
46 #include "sparse-xpow.h" | |
47 | |
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48 OCTAVE_NAMESPACE_BEGIN |
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49 |
5164 | 50 static inline int |
51 xisint (double x) | |
52 { | |
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53 return (octave::math::x_nint (x) == x |
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54 && ((x >= 0 && x < std::numeric_limits<int>::max ()) |
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55 || (x <= 0 && x > std::numeric_limits<int>::min ()))); |
5164 | 56 } |
57 | |
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58 // Safer pow functions. Only two make sense for sparse matrices, the |
5164 | 59 // others should all promote to full matrices. |
60 | |
61 octave_value | |
62 xpow (const SparseMatrix& a, double b) | |
63 { | |
64 octave_value retval; | |
65 | |
5275 | 66 octave_idx_type nr = a.rows (); |
67 octave_idx_type nc = a.cols (); | |
5164 | 68 |
69 if (nr == 0 || nc == 0 || nr != nc) | |
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70 error ("for A^b, A must be a square matrix. Use .^ for elementwise power."); |
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71 |
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72 if (! xisint (b)) |
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73 error ("use full(a) ^ full(b)"); |
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74 |
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75 int btmp = static_cast<int> (b); |
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76 if (btmp == 0) |
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77 { |
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78 SparseMatrix tmp = SparseMatrix (nr, nr, nr); |
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79 for (octave_idx_type i = 0; i < nr; i++) |
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80 { |
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81 tmp.data (i) = 1.0; |
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82 tmp.ridx (i) = i; |
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83 } |
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84 for (octave_idx_type i = 0; i < nr + 1; i++) |
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85 tmp.cidx (i) = i; |
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86 |
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87 retval = tmp; |
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88 } |
5164 | 89 else |
90 { | |
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91 SparseMatrix atmp; |
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92 if (btmp < 0) |
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93 { |
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94 btmp = -btmp; |
5164 | 95 |
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96 octave_idx_type info; |
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97 double rcond = 0.0; |
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98 MatrixType mattyp (a); |
5164 | 99 |
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100 atmp = a.inverse (mattyp, info, rcond, 1); |
5164 | 101 |
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102 if (info == -1) |
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103 warning ("inverse: matrix singular to machine precision, rcond = %g", rcond); |
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104 } |
5164 | 105 else |
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106 atmp = a; |
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107 |
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108 SparseMatrix result (atmp); |
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109 |
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110 btmp--; |
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111 |
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112 while (btmp > 0) |
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113 { |
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114 if (btmp & 1) |
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115 result = result * atmp; |
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116 |
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117 btmp >>= 1; |
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118 |
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119 if (btmp > 0) |
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120 atmp = atmp * atmp; |
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121 } |
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122 |
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123 retval = result; |
5164 | 124 } |
125 | |
126 return retval; | |
127 } | |
128 | |
129 octave_value | |
130 xpow (const SparseComplexMatrix& a, double b) | |
131 { | |
132 octave_value retval; | |
133 | |
5275 | 134 octave_idx_type nr = a.rows (); |
135 octave_idx_type nc = a.cols (); | |
5164 | 136 |
137 if (nr == 0 || nc == 0 || nr != nc) | |
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138 error ("for A^b, A must be a square matrix. Use .^ for elementwise power."); |
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139 |
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140 if (! xisint (b)) |
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141 error ("use full(a) ^ full(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 } |
5164 | 157 else |
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; |
5164 | 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); |
5164 | 167 |
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168 atmp = a.inverse (mattyp, info, rcond, 1); |
5164 | 169 |
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170 if (info == -1) |
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171 warning ("inverse: matrix singular to machine precision, rcond = %g", rcond); |
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172 } |
5164 | 173 else |
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174 atmp = a; |
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175 |
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176 SparseComplexMatrix result (atmp); |
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177 |
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178 btmp--; |
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179 |
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180 while (btmp > 0) |
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181 { |
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182 if (btmp & 1) |
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183 result = result * atmp; |
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184 |
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185 btmp >>= 1; |
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186 |
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187 if (btmp > 0) |
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188 atmp = atmp * atmp; |
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189 } |
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190 |
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191 retval = result; |
5164 | 192 } |
193 | |
194 return retval; | |
195 } | |
196 | |
197 // Safer pow functions that work elementwise for matrices. | |
198 // | |
199 // op2 \ op1: s m cs cm | |
200 // +-- +---+---+----+----+ | |
201 // scalar | | * | 3 | * | 9 | | |
202 // +---+---+----+----+ | |
203 // matrix | 1 | 4 | 7 | 10 | | |
204 // +---+---+----+----+ | |
205 // complex_scalar | * | 5 | * | 11 | | |
206 // +---+---+----+----+ | |
207 // complex_matrix | 2 | 6 | 8 | 12 | | |
208 // +---+---+----+----+ | |
209 // | |
210 // * -> not needed. | |
211 | |
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212 // FIXME: these functions need to be fixed so that things |
5164 | 213 // like |
214 // | |
215 // a = -1; b = [ 0, 0.5, 1 ]; r = a .^ b | |
216 // | |
217 // and | |
218 // | |
219 // a = -1; b = [ 0, 0.5, 1 ]; for i = 1:3, r(i) = a .^ b(i), end | |
220 // | |
221 // produce identical results. Also, it would be nice if -1^0.5 | |
222 // produced a pure imaginary result instead of a complex number with a | |
223 // small real part. But perhaps that's really a problem with the math | |
224 // library... | |
225 | |
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226 // Handle special case of scalar-sparse-matrix .^ sparse-matrix. |
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227 // Forwarding to the scalar elem_xpow function and then converting the |
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228 // result back to a sparse matrix is a bit wasteful but it does not |
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229 // seem worth the effort to optimize -- how often does this case come up |
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230 // in practice? |
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231 |
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232 template <typename S, typename SM> |
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233 inline octave_value |
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234 scalar_xpow (const S& a, const SM& b) |
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235 { |
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236 octave_value val = elem_xpow (a, b); |
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237 |
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238 if (val.iscomplex ()) |
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239 return SparseComplexMatrix (val.complex_matrix_value ()); |
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240 else |
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241 return SparseMatrix (val.matrix_value ()); |
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242 } |
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243 |
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244 /* |
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245 %!assert (sparse (2) .^ [3, 4], sparse ([8, 16])) |
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246 %!assert <47775> (sparse (2i) .^ [3, 4], sparse ([-0-8i, 16])) |
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247 */ |
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248 |
5164 | 249 // -*- 1 -*- |
250 octave_value | |
251 elem_xpow (double a, const SparseMatrix& b) | |
252 { | |
253 octave_value retval; | |
254 | |
5275 | 255 octave_idx_type nr = b.rows (); |
256 octave_idx_type nc = b.cols (); | |
5164 | 257 |
258 double d1, d2; | |
259 | |
260 if (a < 0.0 && ! b.all_integers (d1, d2)) | |
261 { | |
262 Complex atmp (a); | |
263 ComplexMatrix result (nr, nc); | |
264 | |
5275 | 265 for (octave_idx_type j = 0; j < nc; j++) |
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266 { |
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267 for (octave_idx_type i = 0; i < nr; i++) |
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268 { |
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269 octave_quit (); |
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270 result(i, j) = std::pow (atmp, b(i, j)); |
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271 } |
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272 } |
5164 | 273 |
274 retval = result; | |
275 } | |
276 else | |
277 { | |
278 Matrix result (nr, nc); | |
279 | |
5275 | 280 for (octave_idx_type j = 0; j < nc; j++) |
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281 { |
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282 for (octave_idx_type i = 0; i < nr; i++) |
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283 { |
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284 octave_quit (); |
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285 result(i, j) = std::pow (a, b(i, j)); |
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286 } |
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287 } |
5164 | 288 |
289 retval = result; | |
290 } | |
291 | |
292 return retval; | |
293 } | |
294 | |
295 // -*- 2 -*- | |
296 octave_value | |
297 elem_xpow (double a, const SparseComplexMatrix& b) | |
298 { | |
5275 | 299 octave_idx_type nr = b.rows (); |
300 octave_idx_type nc = b.cols (); | |
5164 | 301 |
302 Complex atmp (a); | |
303 ComplexMatrix result (nr, nc); | |
304 | |
5275 | 305 for (octave_idx_type j = 0; j < nc; j++) |
5164 | 306 { |
5275 | 307 for (octave_idx_type i = 0; i < nr; i++) |
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308 { |
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309 octave_quit (); |
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310 result(i, j) = std::pow (atmp, b(i, j)); |
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311 } |
5164 | 312 } |
313 | |
314 return result; | |
315 } | |
316 | |
317 // -*- 3 -*- | |
318 octave_value | |
319 elem_xpow (const SparseMatrix& a, double b) | |
320 { | |
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321 // FIXME: What should a .^ 0 give? Matlab gives a |
5164 | 322 // sparse matrix with same structure as a, which is strictly |
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323 // incorrect. Keep compatibility. |
5164 | 324 |
325 octave_value retval; | |
326 | |
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327 octave_idx_type nz = a.nnz (); |
5164 | 328 |
329 if (b <= 0.0) | |
330 { | |
5275 | 331 octave_idx_type nr = a.rows (); |
332 octave_idx_type nc = a.cols (); | |
5164 | 333 |
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334 if (! xisint (b) && a.any_element_is_negative ()) |
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335 { |
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336 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b))); |
5164 | 337 |
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338 // FIXME: avoid apparent GNU libm bug by |
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339 // converting A and B to complex instead of just A. |
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340 Complex btmp (b); |
5164 | 341 |
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342 for (octave_idx_type j = 0; j < nc; j++) |
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343 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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344 { |
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345 octave_quit (); |
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346 |
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347 Complex atmp (a.data (i)); |
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348 |
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349 result(a.ridx (i), j) = std::pow (atmp, btmp); |
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350 } |
5164 | 351 |
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352 retval = octave_value (result); |
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353 } |
5164 | 354 else |
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355 { |
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356 Matrix result (nr, nc, (std::pow (0.0, b))); |
5164 | 357 |
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358 for (octave_idx_type j = 0; j < nc; j++) |
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359 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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360 { |
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361 octave_quit (); |
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362 result(a.ridx (i), j) = std::pow (a.data (i), b); |
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363 } |
5164 | 364 |
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365 retval = octave_value (result); |
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366 } |
5164 | 367 } |
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368 else if (! xisint (b) && a.any_element_is_negative ()) |
5164 | 369 { |
370 SparseComplexMatrix result (a); | |
371 | |
5275 | 372 for (octave_idx_type i = 0; i < nz; i++) |
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373 { |
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374 octave_quit (); |
5164 | 375 |
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376 // FIXME: avoid apparent GNU libm bug by |
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377 // converting A and B to complex instead of just A. |
5164 | 378 |
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379 Complex atmp (a.data (i)); |
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380 Complex btmp (b); |
5164 | 381 |
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382 result.data (i) = std::pow (atmp, btmp); |
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383 } |
5164 | 384 |
385 result.maybe_compress (true); | |
386 | |
387 retval = result; | |
388 } | |
389 else | |
390 { | |
391 SparseMatrix result (a); | |
392 | |
5275 | 393 for (octave_idx_type i = 0; i < nz; i++) |
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394 { |
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395 octave_quit (); |
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396 result.data (i) = std::pow (a.data (i), b); |
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397 } |
5164 | 398 |
399 result.maybe_compress (true); | |
400 | |
401 retval = result; | |
402 } | |
403 | |
404 return retval; | |
405 } | |
406 | |
407 // -*- 4 -*- | |
408 octave_value | |
409 elem_xpow (const SparseMatrix& a, const SparseMatrix& b) | |
410 { | |
411 octave_value retval; | |
412 | |
5275 | 413 octave_idx_type nr = a.rows (); |
414 octave_idx_type nc = a.cols (); | |
5164 | 415 |
5275 | 416 octave_idx_type b_nr = b.rows (); |
417 octave_idx_type b_nc = b.cols (); | |
5164 | 418 |
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419 if (a.numel () == 1 && b.numel () > 1) |
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420 return scalar_xpow (a(0), b); |
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421 |
5164 | 422 if (nr != b_nr || nc != b_nc) |
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423 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
5164 | 424 |
425 int convert_to_complex = 0; | |
5275 | 426 for (octave_idx_type j = 0; j < nc; j++) |
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427 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
5164 | 428 { |
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429 if (a.data(i) < 0.0) |
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430 { |
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431 double btmp = b (a.ridx (i), j); |
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432 if (! xisint (btmp)) |
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433 { |
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434 convert_to_complex = 1; |
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435 goto done; |
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436 } |
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437 } |
5164 | 438 } |
439 | |
440 done: | |
441 | |
5953 | 442 // This is a dumb operator for sparse matrices anyway, and there is |
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443 // no sensible way to handle the 0.^0 versus the 0.^x cases. Therefore |
5953 | 444 // allocate a full matrix filled for the 0.^0 case and shrink it later |
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445 // as needed. |
5164 | 446 |
447 if (convert_to_complex) | |
448 { | |
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449 SparseComplexMatrix complex_result (nr, nc, Complex (1.0, 0.0)); |
5164 | 450 |
5275 | 451 for (octave_idx_type j = 0; j < nc; j++) |
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452 { |
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453 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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454 { |
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455 octave_quit (); |
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456 complex_result.xelem (a.ridx (i), j) |
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457 = std::pow (Complex (a.data (i)), Complex (b(a.ridx (i), j))); |
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458 } |
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459 } |
5953 | 460 complex_result.maybe_compress (true); |
5164 | 461 retval = complex_result; |
462 } | |
463 else | |
464 { | |
5953 | 465 SparseMatrix result (nr, nc, 1.0); |
5164 | 466 |
5275 | 467 for (octave_idx_type j = 0; j < nc; j++) |
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468 { |
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469 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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470 { |
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471 octave_quit (); |
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472 result.xelem (a.ridx (i), j) = std::pow (a.data (i), |
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473 b(a.ridx (i), j)); |
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474 } |
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475 } |
5953 | 476 result.maybe_compress (true); |
5164 | 477 retval = result; |
478 } | |
479 | |
480 return retval; | |
481 } | |
482 | |
483 // -*- 5 -*- | |
484 octave_value | |
485 elem_xpow (const SparseMatrix& a, const Complex& b) | |
486 { | |
487 octave_value retval; | |
488 | |
489 if (b == 0.0) | |
490 // Can this case ever happen, due to automatic retyping with maybe_mutate? | |
491 retval = octave_value (NDArray (a.dims (), 1)); | |
492 else | |
493 { | |
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494 octave_idx_type nz = a.nnz (); |
5164 | 495 SparseComplexMatrix result (a); |
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496 |
5275 | 497 for (octave_idx_type i = 0; i < nz; i++) |
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498 { |
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499 octave_quit (); |
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500 result.data (i) = std::pow (Complex (a.data (i)), b); |
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501 } |
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502 |
5164 | 503 result.maybe_compress (true); |
504 | |
505 retval = result; | |
506 } | |
507 | |
508 return retval; | |
509 } | |
510 | |
511 // -*- 6 -*- | |
512 octave_value | |
513 elem_xpow (const SparseMatrix& a, const SparseComplexMatrix& b) | |
514 { | |
5275 | 515 octave_idx_type nr = a.rows (); |
516 octave_idx_type nc = a.cols (); | |
5164 | 517 |
5275 | 518 octave_idx_type b_nr = b.rows (); |
519 octave_idx_type b_nc = b.cols (); | |
5164 | 520 |
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521 if (a.numel () == 1 && b.numel () > 1) |
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522 return scalar_xpow (a(0), b); |
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523 |
5164 | 524 if (nr != b_nr || nc != b_nc) |
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525 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
5164 | 526 |
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527 SparseComplexMatrix result (nr, nc, Complex (1.0, 0.0)); |
5275 | 528 for (octave_idx_type j = 0; j < nc; j++) |
5164 | 529 { |
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530 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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531 { |
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532 octave_quit (); |
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533 result.xelem (a.ridx(i), j) = std::pow (a.data (i), b(a.ridx (i), j)); |
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534 } |
5164 | 535 } |
536 | |
5953 | 537 result.maybe_compress (true); |
5164 | 538 |
539 return result; | |
540 } | |
541 | |
542 // -*- 7 -*- | |
543 octave_value | |
544 elem_xpow (const Complex& a, const SparseMatrix& b) | |
545 { | |
5275 | 546 octave_idx_type nr = b.rows (); |
547 octave_idx_type nc = b.cols (); | |
5164 | 548 |
549 ComplexMatrix result (nr, nc); | |
550 | |
5275 | 551 for (octave_idx_type j = 0; j < nc; j++) |
5164 | 552 { |
5275 | 553 for (octave_idx_type i = 0; i < nr; i++) |
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554 { |
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555 octave_quit (); |
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556 double btmp = b (i, j); |
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557 if (xisint (btmp)) |
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558 result (i, j) = std::pow (a, static_cast<int> (btmp)); |
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559 else |
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560 result (i, j) = std::pow (a, btmp); |
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561 } |
5164 | 562 } |
563 | |
564 return result; | |
565 } | |
566 | |
567 // -*- 8 -*- | |
568 octave_value | |
569 elem_xpow (const Complex& a, const SparseComplexMatrix& b) | |
570 { | |
5275 | 571 octave_idx_type nr = b.rows (); |
572 octave_idx_type nc = b.cols (); | |
5164 | 573 |
574 ComplexMatrix result (nr, nc); | |
5275 | 575 for (octave_idx_type j = 0; j < nc; j++) |
576 for (octave_idx_type i = 0; i < nr; i++) | |
5164 | 577 { |
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578 octave_quit (); |
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579 result (i, j) = std::pow (a, b (i, j)); |
5164 | 580 } |
581 | |
582 return result; | |
583 } | |
584 | |
585 // -*- 9 -*- | |
586 octave_value | |
587 elem_xpow (const SparseComplexMatrix& a, double b) | |
588 { | |
589 octave_value retval; | |
590 | |
591 if (b <= 0) | |
592 { | |
5275 | 593 octave_idx_type nr = a.rows (); |
594 octave_idx_type nc = a.cols (); | |
5164 | 595 |
5953 | 596 ComplexMatrix result (nr, nc, Complex (std::pow (0.0, b))); |
5164 | 597 |
598 if (xisint (b)) | |
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599 { |
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600 for (octave_idx_type j = 0; j < nc; j++) |
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601 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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602 { |
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603 octave_quit (); |
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604 result (a.ridx (i), j) |
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605 = std::pow (a.data (i), static_cast<int> (b)); |
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606 } |
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607 } |
5164 | 608 else |
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609 { |
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610 for (octave_idx_type j = 0; j < nc; j++) |
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611 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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612 { |
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613 octave_quit (); |
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614 result (a.ridx (i), j) = std::pow (a.data (i), b); |
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615 } |
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616 } |
5164 | 617 |
618 retval = result; | |
619 } | |
620 else | |
621 { | |
10527
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Replace nzmax by nnz as needed
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diff
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|
622 octave_idx_type nz = a.nnz (); |
5164 | 623 |
624 SparseComplexMatrix result (a); | |
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625 |
5164 | 626 if (xisint (b)) |
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627 { |
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628 for (octave_idx_type i = 0; i < nz; i++) |
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629 { |
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630 octave_quit (); |
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631 result.data (i) = std::pow (a.data (i), static_cast<int> (b)); |
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632 } |
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633 } |
5164 | 634 else |
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635 { |
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636 for (octave_idx_type i = 0; i < nz; i++) |
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637 { |
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638 octave_quit (); |
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639 result.data (i) = std::pow (a.data (i), b); |
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640 } |
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641 } |
5164 | 642 |
643 result.maybe_compress (true); | |
644 | |
645 retval = result; | |
646 } | |
647 | |
648 return retval; | |
649 } | |
650 | |
651 // -*- 10 -*- | |
652 octave_value | |
653 elem_xpow (const SparseComplexMatrix& a, const SparseMatrix& b) | |
654 { | |
5275 | 655 octave_idx_type nr = a.rows (); |
656 octave_idx_type nc = a.cols (); | |
5164 | 657 |
5275 | 658 octave_idx_type b_nr = b.rows (); |
659 octave_idx_type b_nc = b.cols (); | |
5164 | 660 |
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661 if (a.numel () == 1 && b.numel () > 1) |
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662 return scalar_xpow (a(0), b); |
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663 |
5164 | 664 if (nr != b_nr || nc != b_nc) |
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665 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
5164 | 666 |
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667 SparseComplexMatrix result (nr, nc, Complex (1.0, 0.0)); |
5275 | 668 for (octave_idx_type j = 0; j < nc; j++) |
5164 | 669 { |
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670 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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671 { |
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672 octave_quit (); |
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673 double btmp = b(a.ridx (i), j); |
5164 | 674 |
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675 if (xisint (btmp)) |
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676 result.xelem (a.ridx (i), j) = std::pow (a.data (i), |
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677 static_cast<int> (btmp)); |
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678 else |
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679 result.xelem (a.ridx (i), j) = std::pow (a.data (i), btmp); |
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680 } |
5164 | 681 } |
682 | |
5953 | 683 result.maybe_compress (true); |
5164 | 684 |
685 return result; | |
686 } | |
687 | |
688 // -*- 11 -*- | |
689 octave_value | |
690 elem_xpow (const SparseComplexMatrix& a, const Complex& b) | |
691 { | |
692 octave_value retval; | |
693 | |
694 if (b == 0.0) | |
695 // Can this case ever happen, due to automatic retyping with maybe_mutate? | |
696 retval = octave_value (NDArray (a.dims (), 1)); | |
697 else | |
698 { | |
699 | |
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700 octave_idx_type nz = a.nnz (); |
5164 | 701 |
702 SparseComplexMatrix result (a); | |
703 | |
5275 | 704 for (octave_idx_type i = 0; i < nz; i++) |
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705 { |
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706 octave_quit (); |
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707 result.data (i) = std::pow (a.data (i), b); |
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708 } |
5164 | 709 |
710 result.maybe_compress (true); | |
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711 |
5164 | 712 retval = result; |
713 } | |
714 | |
715 return retval; | |
716 } | |
717 | |
718 // -*- 12 -*- | |
719 octave_value | |
720 elem_xpow (const SparseComplexMatrix& a, const SparseComplexMatrix& b) | |
721 { | |
5275 | 722 octave_idx_type nr = a.rows (); |
723 octave_idx_type nc = a.cols (); | |
5164 | 724 |
5275 | 725 octave_idx_type b_nr = b.rows (); |
726 octave_idx_type b_nc = b.cols (); | |
5164 | 727 |
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728 if (a.numel () == 1 && b.numel () > 1) |
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729 return scalar_xpow (a(0), b); |
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730 |
5164 | 731 if (nr != b_nr || nc != b_nc) |
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732 octave::err_nonconformant ("operator .^", nr, nc, b_nr, b_nc); |
5164 | 733 |
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734 SparseComplexMatrix result (nr, nc, Complex (1.0, 0.0)); |
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735 for (octave_idx_type j = 0; j < nc; j++) |
5164 | 736 { |
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737 for (octave_idx_type i = a.cidx (j); i < a.cidx (j+1); i++) |
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738 { |
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739 octave_quit (); |
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740 result.xelem (a.ridx (i), j) = std::pow (a.data (i), |
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741 b(a.ridx (i), j)); |
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742 } |
5164 | 743 } |
744 result.maybe_compress (true); | |
745 | |
746 return result; | |
747 } | |
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748 |
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749 OCTAVE_NAMESPACE_END |