Mercurial > hg > octave-jordi
annotate src/DLD-FUNCTIONS/find.cc @ 7505:f5005d9510f4
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author | David Bateman <dbateman@free.fr> |
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date | Wed, 20 Feb 2008 15:52:11 -0500 |
parents | a1dbe9d80eee |
children | 82be108cc558 |
rev | line source |
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2928 | 1 /* |
2 | |
7017 | 3 Copyright (C) 1996, 1997, 1999, 2000, 2002, 2003, 2004, 2005, 2006, |
4 2007 John W. Eaton | |
2928 | 5 |
6 This file is part of Octave. | |
7 | |
8 Octave is free software; you can redistribute it and/or modify it | |
9 under the terms of the GNU General Public License as published by the | |
7016 | 10 Free Software Foundation; either version 3 of the License, or (at your |
11 option) any later version. | |
2928 | 12 |
13 Octave is distributed in the hope that it will be useful, but WITHOUT | |
14 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
15 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
16 for more details. | |
17 | |
18 You should have received a copy of the GNU General Public License | |
7016 | 19 along with Octave; see the file COPYING. If not, see |
20 <http://www.gnu.org/licenses/>. | |
2928 | 21 |
22 */ | |
23 | |
24 #ifdef HAVE_CONFIG_H | |
25 #include <config.h> | |
26 #endif | |
27 | |
4153 | 28 #include "quit.h" |
29 | |
2928 | 30 #include "defun-dld.h" |
31 #include "error.h" | |
32 #include "gripes.h" | |
33 #include "oct-obj.h" | |
34 | |
6002 | 35 // Find at most N_TO_FIND nonzero elements in NDA. Search forward if |
36 // DIRECTION is 1, backward if it is -1. NARGOUT is the number of | |
37 // output arguments. If N_TO_FIND is -1, find all nonzero elements. | |
4678 | 38 |
39 template <typename T> | |
40 octave_value_list | |
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41 find_nonzero_elem_idx (const Array<T>& nda, int nargout, |
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42 octave_idx_type n_to_find, int direction) |
4678 | 43 { |
6002 | 44 octave_value_list retval ((nargout == 0 ? 1 : nargout), Matrix ()); |
4678 | 45 |
5275 | 46 octave_idx_type count = 0; |
4678 | 47 |
5275 | 48 octave_idx_type nel = nda.nelem (); |
4678 | 49 |
6002 | 50 // Set the starting element to the correct value based on the |
51 // direction to search. | |
52 octave_idx_type k = 0; | |
53 if (direction == -1) | |
54 k = nel - 1; | |
55 | |
56 // Search in the default range. | |
57 octave_idx_type start_el = -1; | |
58 octave_idx_type end_el = -1; | |
59 | |
60 // Search for the number of elements to return. | |
61 while (k < nel && k > -1 && n_to_find != count) | |
4678 | 62 { |
63 OCTAVE_QUIT; | |
64 | |
6002 | 65 if (nda(k) != 0.0) |
66 { | |
67 end_el = k; | |
68 if (start_el == -1) | |
69 start_el = k; | |
70 count++; | |
71 } | |
72 k = k + direction; | |
4678 | 73 } |
74 | |
6002 | 75 // Reverse the range if we're looking backward. |
76 if (direction == -1) | |
77 { | |
78 octave_idx_type tmp_el = start_el; | |
79 start_el = end_el; | |
80 end_el = tmp_el; | |
81 } | |
82 // Fix an off by one error. | |
83 end_el++; | |
84 | |
4826 | 85 // If the original argument was a row vector, force a row vector of |
5130 | 86 // the overall indices to be returned. But see below for scalar |
87 // case... | |
4678 | 88 |
5275 | 89 octave_idx_type result_nr = count; |
90 octave_idx_type result_nc = 1; | |
4678 | 91 |
5130 | 92 bool scalar_arg = false; |
93 | |
4826 | 94 if (nda.ndims () == 2 && nda.rows () == 1) |
95 { | |
96 result_nr = 1; | |
97 result_nc = count; | |
5130 | 98 |
99 scalar_arg = (nda.columns () == 1); | |
4826 | 100 } |
3418 | 101 |
4826 | 102 Matrix idx (result_nr, result_nc); |
4678 | 103 |
4826 | 104 Matrix i_idx (result_nr, result_nc); |
105 Matrix j_idx (result_nr, result_nc); | |
4678 | 106 |
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107 ArrayN<T> val (dim_vector (result_nr, result_nc)); |
4826 | 108 |
109 if (count > 0) | |
4678 | 110 { |
4826 | 111 count = 0; |
112 | |
5275 | 113 octave_idx_type nr = nda.rows (); |
4678 | 114 |
5275 | 115 octave_idx_type i = 0; |
4826 | 116 |
6002 | 117 // Search for elements to return. Only search the region where |
118 // there are elements to be found using the count that we want | |
119 // to find. | |
6005 | 120 |
121 // For compatibility, all N-d arrays are handled as if they are | |
122 // 2-d, with the number of columns equal to "prod (dims (2:end))". | |
123 | |
6002 | 124 for (k = start_el; k < end_el; k++) |
4678 | 125 { |
4826 | 126 OCTAVE_QUIT; |
4678 | 127 |
4826 | 128 if (nda(k) != 0.0) |
129 { | |
130 idx(count) = k + 1; | |
4678 | 131 |
6005 | 132 octave_idx_type xr = k % nr; |
133 i_idx(count) = xr + 1; | |
134 j_idx(count) = (k - xr) / nr + 1; | |
4678 | 135 |
4826 | 136 val(count) = nda(k); |
137 | |
138 count++; | |
139 } | |
4678 | 140 |
4826 | 141 i++; |
4678 | 142 } |
143 } | |
5130 | 144 else if (scalar_arg) |
5131 | 145 { |
146 idx.resize (0, 0); | |
147 | |
148 i_idx.resize (0, 0); | |
149 j_idx.resize (0, 0); | |
150 | |
151 val.resize (dim_vector (0, 0)); | |
152 } | |
2928 | 153 |
154 switch (nargout) | |
155 { | |
6254 | 156 default: |
2928 | 157 case 3: |
158 retval(2) = val; | |
159 // Fall through! | |
160 | |
161 case 2: | |
3418 | 162 retval(1) = j_idx; |
163 retval(0) = i_idx; | |
2928 | 164 break; |
165 | |
6254 | 166 case 1: |
167 case 0: | |
168 retval(0) = idx; | |
2928 | 169 break; |
170 } | |
171 | |
172 return retval; | |
173 } | |
174 | |
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175 template octave_value_list find_nonzero_elem_idx (const Array<double>&, int, |
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176 octave_idx_type, int); |
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177 |
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178 template octave_value_list find_nonzero_elem_idx (const Array<Complex>&, int, |
6002 | 179 octave_idx_type, int); |
2928 | 180 |
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181 template <typename T> |
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182 octave_value_list |
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183 find_nonzero_elem_idx (const Sparse<T>& v, int nargout, |
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184 octave_idx_type n_to_find, int direction) |
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185 { |
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186 octave_value_list retval ((nargout == 0 ? 1 : nargout), Matrix ()); |
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187 |
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188 |
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189 octave_idx_type nc = v.cols(); |
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190 octave_idx_type nr = v.rows(); |
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191 octave_idx_type nz = v.nnz(); |
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192 |
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193 // Search in the default range. |
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194 octave_idx_type start_nc = -1; |
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195 octave_idx_type end_nc = -1; |
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196 octave_idx_type count; |
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197 |
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198 // Search for the range to search |
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199 if (n_to_find < 0) |
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200 { |
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201 start_nc = 0; |
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202 end_nc = nc; |
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203 n_to_find = nz; |
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204 count = nz; |
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205 } |
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206 else if (direction > 0) |
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207 { |
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208 for (octave_idx_type j = 0; j < nc; j++) |
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209 { |
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210 OCTAVE_QUIT; |
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211 if (v.cidx(j) == 0 && v.cidx(j+1) != 0) |
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212 start_nc = j; |
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213 if (v.cidx(j+1) >= n_to_find) |
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214 { |
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215 end_nc = j + 1; |
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216 break; |
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217 } |
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218 } |
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219 } |
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220 else |
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221 { |
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222 for (octave_idx_type j = nc; j > 0; j--) |
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223 { |
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224 OCTAVE_QUIT; |
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225 if (v.cidx(j) == nz && v.cidx(j-1) != nz) |
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226 end_nc = j; |
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227 if (nz - v.cidx(j-1) >= n_to_find) |
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228 { |
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229 start_nc = j - 1; |
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230 break; |
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231 } |
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232 } |
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233 } |
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234 |
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235 count = (n_to_find > v.cidx(end_nc) - v.cidx(start_nc) ? |
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236 v.cidx(end_nc) - v.cidx(start_nc) : n_to_find); |
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237 |
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238 // If the original argument was a row vector, force a row vector of |
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239 // the overall indices to be returned. But see below for scalar |
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240 // case... |
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241 |
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242 octave_idx_type result_nr = count; |
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243 octave_idx_type result_nc = 1; |
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244 |
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245 bool scalar_arg = false; |
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246 |
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247 if (v.rows () == 1) |
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248 { |
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249 result_nr = 1; |
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250 result_nc = count; |
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251 |
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252 scalar_arg = (v.columns () == 1); |
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253 } |
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254 |
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255 Matrix idx (result_nr, result_nc); |
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256 |
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257 Matrix i_idx (result_nr, result_nc); |
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258 Matrix j_idx (result_nr, result_nc); |
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259 |
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260 ArrayN<T> val (dim_vector (result_nr, result_nc)); |
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261 |
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262 if (count > 0) |
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263 { |
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264 // Search for elements to return. Only search the region where |
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265 // there are elements to be found using the count that we want |
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266 // to find. |
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267 for (octave_idx_type j = start_nc, cx = 0; j < end_nc; j++) |
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268 for (octave_idx_type i = v.cidx(j); i < v.cidx(j+1); i++ ) |
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269 { |
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270 OCTAVE_QUIT; |
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271 if (direction < 0 && i < nz - count) |
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272 continue; |
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273 i_idx (cx) = static_cast<double> (v.ridx(i) + 1); |
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274 j_idx (cx) = static_cast<double> (j + 1); |
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275 idx (cx) = j * nr + v.ridx(i) + 1; |
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276 val (cx) = v.data(i); |
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277 cx++; |
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278 if (cx == count) |
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279 break; |
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280 } |
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281 } |
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282 else if (scalar_arg) |
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283 { |
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284 idx.resize (0, 0); |
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285 |
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286 i_idx.resize (0, 0); |
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287 j_idx.resize (0, 0); |
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288 |
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289 val.resize (dim_vector (0, 0)); |
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290 } |
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291 |
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292 switch (nargout) |
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293 { |
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294 case 0: |
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295 case 1: |
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296 retval(0) = idx; |
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297 break; |
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298 |
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299 case 5: |
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300 retval(4) = nc; |
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301 // Fall through |
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302 |
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303 case 4: |
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304 retval(3) = nr; |
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305 // Fall through |
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306 |
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307 case 3: |
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308 retval(2) = val; |
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309 // Fall through! |
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310 |
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311 case 2: |
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312 retval(1) = j_idx; |
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313 retval(0) = i_idx; |
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314 break; |
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315 |
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316 default: |
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317 panic_impossible (); |
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318 break; |
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319 } |
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320 |
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321 return retval; |
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322 } |
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323 |
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324 template octave_value_list find_nonzero_elem_idx (const Sparse<double>&, int, |
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325 octave_idx_type, int); |
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326 |
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327 template octave_value_list find_nonzero_elem_idx (const Sparse<Complex>&, int, |
6002 | 328 octave_idx_type, int); |
2928 | 329 |
330 DEFUN_DLD (find, args, nargout, | |
3369 | 331 "-*- texinfo -*-\n\ |
332 @deftypefn {Loadable Function} {} find (@var{x})\n\ | |
6002 | 333 @deftypefnx {Loadable Function} {} find (@var{x}, @var{n})\n\ |
334 @deftypefnx {Loadable Function} {} find (@var{x}, @var{n}, @var{direction})\n\ | |
6524 | 335 Return a vector of indices of nonzero elements of a matrix, as a row if\n\ |
336 @var{x} is a row or as a column otherwise. To obtain a single index for\n\ | |
337 each matrix element, Octave pretends that the columns of a matrix form one\n\ | |
338 long vector (like Fortran arrays are stored). For example,\n\ | |
3369 | 339 \n\ |
340 @example\n\ | |
341 @group\n\ | |
342 find (eye (2))\n\ | |
343 @result{} [ 1; 4 ]\n\ | |
344 @end group\n\ | |
345 @end example\n\ | |
346 \n\ | |
347 If two outputs are requested, @code{find} returns the row and column\n\ | |
348 indices of nonzero elements of a matrix. For example,\n\ | |
349 \n\ | |
350 @example\n\ | |
351 @group\n\ | |
352 [i, j] = find (2 * eye (2))\n\ | |
353 @result{} i = [ 1; 2 ]\n\ | |
354 @result{} j = [ 1; 2 ]\n\ | |
355 @end group\n\ | |
356 @end example\n\ | |
357 \n\ | |
358 If three outputs are requested, @code{find} also returns a vector\n\ | |
359 containing the nonzero values. For example,\n\ | |
360 \n\ | |
361 @example\n\ | |
362 @group\n\ | |
363 [i, j, v] = find (3 * eye (2))\n\ | |
364 @result{} i = [ 1; 2 ]\n\ | |
365 @result{} j = [ 1; 2 ]\n\ | |
366 @result{} v = [ 3; 3 ]\n\ | |
367 @end group\n\ | |
368 @end example\n\ | |
6002 | 369 \n\ |
370 If two inputs are given, @var{n} indicates the number of elements to\n\ | |
371 find from the beginning of the matrix or vector.\n\ | |
372 \n\ | |
373 If three inputs are given, @var{direction} should be one of \"first\" or\n\ | |
374 \"last\" indicating that it should start counting found elements from the\n\ | |
375 first or last element.\n\ | |
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376 \n\ |
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377 Note that this function is particularly useful for sparse matrices, as\n\ |
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378 it extracts the non-zero elements as vectors, which can then be used to\n\ |
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379 create the original matrix. For example,\n\ |
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380 \n\ |
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381 @example\n\ |
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382 @group\n\ |
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383 sz = size(a);\n\ |
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384 [i, j, v] = find (a);\n\ |
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385 b = sparse(i, j, v, sz(1), sz(2));\n\ |
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386 @end group\n\ |
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387 @end example\n\ |
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388 @seealso{sparse}\n\ |
3369 | 389 @end deftypefn") |
2928 | 390 { |
391 octave_value_list retval; | |
392 | |
393 int nargin = args.length (); | |
394 | |
6002 | 395 if (nargin > 3 || nargin < 1) |
2928 | 396 { |
5823 | 397 print_usage (); |
2928 | 398 return retval; |
399 } | |
400 | |
6002 | 401 // Setup the default options. |
402 octave_idx_type n_to_find = -1; | |
403 if (nargin > 1) | |
404 { | |
405 n_to_find = args(1).int_value (); | |
406 if (error_state) | |
407 { | |
408 error ("find: expecting second argument to be an integer"); | |
409 return retval; | |
410 } | |
411 } | |
412 | |
413 // Direction to do the searching (1 == forward, -1 == reverse). | |
414 int direction = 1; | |
415 if (nargin > 2) | |
416 { | |
417 direction = 0; | |
418 | |
419 std::string s_arg = args(2).string_value (); | |
420 | |
421 if (! error_state) | |
422 { | |
423 if (s_arg == "first") | |
424 direction = 1; | |
425 else if (s_arg == "last") | |
426 direction = -1; | |
427 } | |
428 | |
429 if (direction == 0) | |
430 { | |
431 error ("find: expecting third argument to be \"first\" or \"last\""); | |
432 return retval; | |
433 } | |
434 } | |
435 | |
2928 | 436 octave_value arg = args(0); |
437 | |
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438 if (arg.is_sparse_type ()) |
2928 | 439 { |
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440 if (arg.is_real_type ()) |
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441 { |
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442 SparseMatrix v = arg.sparse_matrix_value (); |
2928 | 443 |
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444 if (! error_state) |
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445 retval = find_nonzero_elem_idx (v, nargout, |
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446 n_to_find, direction); |
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447 } |
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448 else if (arg.is_complex_type ()) |
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449 { |
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450 SparseComplexMatrix v = arg.sparse_complex_matrix_value (); |
5107 | 451 |
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452 if (! error_state) |
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453 retval = find_nonzero_elem_idx (v, nargout, |
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454 n_to_find, direction); |
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455 } |
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456 else |
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457 gripe_wrong_type_arg ("find", arg); |
5107 | 458 } |
2928 | 459 else |
460 { | |
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461 if (arg.is_real_type ()) |
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462 { |
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463 NDArray nda = arg.array_value (); |
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464 |
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465 if (! error_state) |
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466 retval = find_nonzero_elem_idx (nda, nargout, |
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467 n_to_find, direction); |
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468 } |
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469 else if (arg.is_complex_type ()) |
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470 { |
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471 ComplexNDArray cnda = arg.complex_array_value (); |
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472 |
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473 if (! error_state) |
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474 retval = find_nonzero_elem_idx (cnda, nargout, |
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475 n_to_find, direction); |
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476 } |
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477 else if (arg.is_string ()) |
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478 { |
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479 charNDArray cnda = arg.char_array_value (); |
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480 |
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481 if (! error_state) |
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482 retval = find_nonzero_elem_idx (cnda, nargout, |
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483 n_to_find, direction); |
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484 } |
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485 else |
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486 { |
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487 gripe_wrong_type_arg ("find", arg); |
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488 } |
2928 | 489 } |
490 | |
491 return retval; | |
492 } | |
493 | |
494 /* | |
495 ;;; Local Variables: *** | |
496 ;;; mode: C++ *** | |
497 ;;; End: *** | |
498 */ |