GNU Octave 7.1.0
A high-level interpreted language, primarily intended for numerical computations, mostly compatible with Matlab
conv2.cc
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25
26#if defined (HAVE_CONFIG_H)
27# include "config.h"
28#endif
29
30#include "oct-convn.h"
31
32#include "defun.h"
33#include "error.h"
34#include "ovl.h"
35#include "utils.h"
36
37OCTAVE_NAMESPACE_BEGIN
38
39enum Shape { SHAPE_FULL, SHAPE_SAME, SHAPE_VALID };
40
41DEFUN (conv2, args, ,
42 doc: /* -*- texinfo -*-
43@deftypefn {} {} conv2 (@var{A}, @var{B})
44@deftypefnx {} {} conv2 (@var{v1}, @var{v2}, @var{m})
45@deftypefnx {} {} conv2 (@dots{}, @var{shape})
46Return the 2-D convolution of @var{A} and @var{B}.
47
48The size of the result is determined by the optional @var{shape} argument
49which takes the following values
50
51@table @asis
52@item @var{shape} = @qcode{"full"}
53Return the full convolution. (default)
54
55@item @var{shape} = @qcode{"same"}
56Return the central part of the convolution with the same size as @var{A}.
57The central part of the convolution begins at the indices
58@code{floor ([size(@var{B})/2] + 1)}.
59
60@item @var{shape} = @qcode{"valid"}
61Return only the parts which do not include zero-padded edges.
62The size of the result is @code{max (size (A) - size (B) + 1, 0)}.
63@end table
64
65When the third argument is a matrix, return the convolution of the matrix
66@var{m} by the vector @var{v1} in the column direction and by the vector
67@var{v2} in the row direction.
68@seealso{conv, convn}
69@end deftypefn */)
70{
71 int nargin = args.length ();
72
73 if (nargin < 2 || nargin > 4)
74 print_usage ();
75
76 std::string shape = "full"; // default
77 bool separable = false;
78 convn_type ct = convn_full;
79
80 if (nargin == 3)
81 {
82 if (args(2).is_string ())
83 shape = args(2).string_value ();
84 else
85 separable = true;
86 }
87 else if (nargin == 4)
88 {
89 separable = true;
90 shape = args(3).string_value ();
91 }
92
93 if (args(0).ndims () > 2 || args(1).ndims () > 2)
94 error ("conv2: A and B must be 1-D vectors or 2-D matrices");
95
96 if (shape == "full")
97 ct = convn_full;
98 else if (shape == "same")
99 ct = convn_same;
100 else if (shape == "valid")
101 ct = convn_valid;
102 else
103 error ("conv2: SHAPE type not valid");
104
105 octave_value retval;
106
107 if (separable)
108 {
109 // If user requests separable, check first two params are vectors
110 if (! (1 == args(0).rows () || 1 == args(0).columns ())
111 || ! (1 == args(1).rows () || 1 == args(1).columns ()))
112 error ("conv2: arguments must be vectors for separable option");
113
114 if (args(0).is_single_type () || args(1).is_single_type ()
115 || args(2).is_single_type ())
116 {
117 if (args(0).iscomplex () || args(1).iscomplex ()
118 || args(2).iscomplex ())
119 {
120 FloatComplexMatrix a (args(2).float_complex_matrix_value ());
121 if (args(1).isreal () && args(2).isreal ())
122 {
123 FloatColumnVector v1 (args(0).float_vector_value ());
124 FloatRowVector v2 (args(1).float_vector_value ());
125 retval = convn (a, v1, v2, ct);
126 }
127 else
128 {
129 FloatComplexColumnVector v1 (args(0).float_complex_vector_value ());
130 FloatComplexRowVector v2 (args(1).float_complex_vector_value ());
131 retval = convn (a, v1, v2, ct);
132 }
133 }
134 else
135 {
136 FloatColumnVector v1 (args(0).float_vector_value ());
137 FloatRowVector v2 (args(1).float_vector_value ());
138 FloatMatrix a (args(2).float_matrix_value ());
139 retval = convn (a, v1, v2, ct);
140 }
141 }
142 else
143 {
144 if (args(0).iscomplex () || args(1).iscomplex ()
145 || args(2).iscomplex ())
146 {
147 ComplexMatrix a (args(2).complex_matrix_value ());
148 if (args(1).isreal () && args(2).isreal ())
149 {
150 ColumnVector v1 (args(0).vector_value ());
151 RowVector v2 (args(1).vector_value ());
152 retval = convn (a, v1, v2, ct);
153 }
154 else
155 {
156 ComplexColumnVector v1 (args(0).complex_vector_value ());
157 ComplexRowVector v2 (args(1).complex_vector_value ());
158 retval = convn (a, v1, v2, ct);
159 }
160 }
161 else
162 {
163 ColumnVector v1 (args(0).vector_value ());
164 RowVector v2 (args(1).vector_value ());
165 Matrix a (args(2).matrix_value ());
166 retval = convn (a, v1, v2, ct);
167 }
168 }
169 } // if (separable)
170 else
171 {
172 if (args(0).is_single_type () || args(1).is_single_type ())
173 {
174 if (args(0).iscomplex () || args(1).iscomplex ())
175 {
176 FloatComplexMatrix a (args(0).float_complex_matrix_value ());
177 if (args(1).isreal ())
178 {
179 FloatMatrix b (args(1).float_matrix_value ());
180 retval = convn (a, b, ct);
181 }
182 else
183 {
184 FloatComplexMatrix b (args(1).float_complex_matrix_value ());
185 retval = convn (a, b, ct);
186 }
187 }
188 else
189 {
190 FloatMatrix a (args(0).float_matrix_value ());
191 FloatMatrix b (args(1).float_matrix_value ());
192 retval = convn (a, b, ct);
193 }
194 }
195 else
196 {
197 if (args(0).iscomplex () || args(1).iscomplex ())
198 {
199 ComplexMatrix a (args(0).complex_matrix_value ());
200 if (args(1).isreal ())
201 {
202 Matrix b (args(1).matrix_value ());
203 retval = convn (a, b, ct);
204 }
205 else
206 {
207 ComplexMatrix b (args(1).complex_matrix_value ());
208 retval = convn (a, b, ct);
209 }
210 }
211 else
212 {
213 Matrix a (args(0).matrix_value ());
214 Matrix b (args(1).matrix_value ());
215 retval = convn (a, b, ct);
216 }
217 }
218
219 } // if (separable)
220
221 return retval;
222}
223
224/*
225%!test
226%! c = [0,1,2,3;1,8,12,12;4,20,24,21;7,22,25,18];
227%! assert (conv2 ([0,1;1,2], [1,2,3;4,5,6;7,8,9]), c);
228
229%!test
230%! c = single ([0,1,2,3;1,8,12,12;4,20,24,21;7,22,25,18]);
231%! assert (conv2 (single ([0,1;1,2]), single ([1,2,3;4,5,6;7,8,9])), c);
232
233%!test
234%! c = [1,4,4;5,18,16;14,48,40;19,62,48;15,48,36];
235%! assert (conv2 (1:3, 1:2, [1,2;3,4;5,6]), c);
236
237%!assert (conv2 (1:3, 1:2, [1,2;3,4;5,6], "full"),
238%! conv2 (1:3, 1:2, [1,2;3,4;5,6]));
239
240## Test shapes
241%!shared A, B, C
242%! A = rand (3, 4);
243%! B = rand (4);
244%! C = conv2 (A, B);
245%!assert (conv2 (A,B, "full"), C)
246%!assert (conv2 (A,B, "same"), C(3:5,3:6))
247%!assert (conv2 (A,B, "valid"), zeros (0, 1))
248%!assert (size (conv2 (B,A, "valid")), [2 1])
249
250%!test
251%! B = rand (5);
252%! C = conv2 (A, B);
253%!assert (conv2 (A,B, "full"), C)
254%!assert (conv2 (A,B, "same"), C(3:5,3:6))
255%!assert (conv2 (A,B, "valid"), zeros (0, 0))
256%!assert (size (conv2 (B,A, "valid")), [3 2])
257
258## Clear shared variables so they are not reported for tests below
259%!shared
260
261## Test cases from Bug #34893
262%!assert <*34893> (conv2 ([1:5;1:5], [1:2], "same"),
263%! [4 7 10 13 10; 4 7 10 13 10])
264%!assert <*34893> (conv2 ([1:5;1:5]', [1:2]', "same"),
265%! [4 7 10 13 10; 4 7 10 13 10]')
266%!assert <*34893> (conv2 ([1:5;1:5], [1:2], "valid"),
267%! [4 7 10 13; 4 7 10 13])
268%!assert <*34893> (conv2 ([1:5;1:5]', [1:2]', "valid"),
269%! [4 7 10 13; 4 7 10 13]')
270
271%% Restore the rand "seed" and "state" values in order, so that the
272%% new "state" algorithm remains active after these tests complete.
273%!function restore_rand_state (seed, state)
274%! rand ("seed", seed);
275%! rand ("state", state);
276%!endfunction
277
278%% FIXME: This test only passes when using the "old" random number
279%% generator by setting the "seed" parameter to any value. If
280%% the "state" parameter is used, the test fails. This probably
281%% indicates that this test is particularly fragile. This might
282%% need further investigation or a rewrite, for example using
283%% random integer values to avoid precision overflow.
284%!test
285%! old_seed = rand ("seed");
286%! old_state = rand ("state");
287%! restore_state = onCleanup (@() restore_rand_state (old_seed, old_state));
288%! rand ("seed", 42);
289%! x = rand (100);
290%! y = ones (5);
291%! A = conv2 (x, y)(5:end-4,5:end-4);
292%! B = conv2 (x, y, "valid");
293%! assert (B, A); # Yes, this test is for *exact* equivalence.
294
295## Test input validation
296%!error conv2 ()
297%!error conv2 (1)
298%!error <must be 1-D vectors or 2-D matrices> conv2 (ones (2), ones (2,2,2))
299%!error <SHAPE type not valid> conv2 (1,2, "NOT_A_SHAPE")
300## Test alternate calling form which should be 2 vectors and a matrix
301%!error conv2 (ones (2), 1, 1)
302%!error conv2 (1, ones (2), 1)
303*/
304
305DEFUN (convn, args, ,
306 doc: /* -*- texinfo -*-
307@deftypefn {} {@var{C} =} convn (@var{A}, @var{B})
308@deftypefnx {} {@var{C} =} convn (@var{A}, @var{B}, @var{shape})
309Return the n-D convolution of @var{A} and @var{B}.
310
311The size of the result is determined by the optional @var{shape} argument
312which takes the following values
313
314@table @asis
315@item @var{shape} = @qcode{"full"}
316Return the full convolution. (default)
317
318@item @var{shape} = @qcode{"same"}
319Return central part of the convolution with the same size as @var{A}.
320The central part of the convolution begins at the indices
321@code{floor ([size(@var{B})/2] + 1)}.
322
323@item @var{shape} = @qcode{"valid"}
324Return only the parts which do not include zero-padded edges.
325The size of the result is @code{max (size (A) - size (B) + 1, 0)}.
326@end table
327
328@seealso{conv2, conv}
329@end deftypefn */)
330{
331 int nargin = args.length ();
332
333 if (nargin < 2 || nargin > 3)
334 print_usage ();
335
336 std::string shape = "full"; // default
337 convn_type ct = convn_full;
338
339 if (nargin == 3)
340 shape = args(2).xstring_value ("convn: SHAPE must be a string");
341
342 if (shape == "full")
343 ct = convn_full;
344 else if (shape == "same")
345 ct = convn_same;
346 else if (shape == "valid")
347 ct = convn_valid;
348 else
349 error ("convn: SHAPE type not valid");
350
351 octave_value retval;
352
353 if (args(0).is_single_type () || args(1).is_single_type ())
354 {
355 if (args(0).iscomplex () || args(1).iscomplex ())
356 {
357 FloatComplexNDArray a (args(0).float_complex_array_value ());
358 if (args(1).isreal ())
359 {
360 FloatNDArray b (args(1).float_array_value ());
361 retval = convn (a, b, ct);
362 }
363 else
364 {
365 FloatComplexNDArray b (args(1).float_complex_array_value ());
366 retval = convn (a, b, ct);
367 }
368 }
369 else
370 {
371 FloatNDArray a (args(0).float_array_value ());
372 FloatNDArray b (args(1).float_array_value ());
373 retval = convn (a, b, ct);
374 }
375 }
376 else
377 {
378 if (args(0).iscomplex () || args(1).iscomplex ())
379 {
380 ComplexNDArray a (args(0).complex_array_value ());
381 if (args(1).isreal ())
382 {
383 NDArray b (args(1).array_value ());
384 retval = convn (a, b, ct);
385 }
386 else
387 {
388 ComplexNDArray b (args(1).complex_array_value ());
389 retval = convn (a, b, ct);
390 }
391 }
392 else
393 {
394 NDArray a (args(0).array_value ());
395 NDArray b (args(1).array_value ());
396 retval = convn (a, b, ct);
397 }
398 }
399
400 return retval;
401}
402
403/*
404%!test <39314>
405%! v = reshape ([1 2], [1 1 2]);
406%! assert (convn (v, v), reshape ([1 4 4], [1 1 3]));
407%! assert (convn (v, v, "same"), reshape ([4 4], [1 1 2]));
408%! assert (convn (v, v, "valid"), 4);
409
410## The following test may look weird since we are using the output
411## of convn to test itself. However, because calculations are done
412## differently based on the shape option, it will help to catch some
413## bugs. See also bug #39314.
414## FIXME: The "valid" option uses an entirely different code path
415## through C++ and Fortran to calculate inner convolution.
416## The terms in the convolution added in reverse order compared
417## to the "full" option. This produces differences on the order
418## of tens of eps. This should be fixed, but in the meantime
419## the tests will be marked as known failures.
420%!shared a, b, c
421%! ## test 3D by 3D
422%! a = rand (10, 10, 10);
423%! b = rand (3, 3, 3);
424%! c = convn (a, b, "full");
425%!assert (convn (a, b, "same"), c(2:11,2:11,2:11))
426%!test <39314>
427%! assert (convn (a, b, "valid"), c(3:10,3:10,3:10));
428%!
429%!test
430%! ## test 3D by 2D
431%! a = rand (10, 10, 10);
432%! b = rand (3, 3);
433%! c = convn (a, b, "full");
434%!assert (convn (a, b, "same"), c(2:11,2:11,:))
435%!test <39314>
436%! assert (convn (a, b, "valid"), c(3:10,3:10,:));
437%!
438%!test
439%! ## test 2D by 3D
440%! a = rand (10, 10);
441%! b = rand (3, 3, 3);
442%! c = convn (a, b, "full");
443%!assert (convn (a, b, "same"), c(2:11,2:11,2))
444%!assert (convn (a, b, "valid"), c(3:10,3:10,3:2)) # a 7x7x0 matrix
445%!
446%!test
447%! ## test multiple different number of dimensions, with odd and even numbers
448%! a = rand (10, 15, 7, 8, 10);
449%! b = rand (4, 3, 2, 3);
450%! c = convn (a, b, "full");
451%!assert (convn (a, b, "same"), c(3:12,2:16,2:8,2:9,:))
452%!test <39314>
453%! assert (convn (a, b, "valid"), c(4:10,3:15,2:7,3:8,:));
454
455%!test
456%! a = reshape (floor (magic (16) /10), [4 8 4 2]);
457%! b = reshape (magic (6), [4 3 3]);
458%! c = zeros (7, 10, 6, 2);
459%! c(:,:,1,1) = [
460%! 875 1415 1215 741 288 264 635 1109 687 171
461%! 110 467 1551 1790 1891 1651 1165 900 659 568
462%! 883 1047 1475 1964 2181 2302 2117 1674 579 234
463%! 940 2330 3099 2573 2306 2207 2442 2918 2272 1004
464%! 161 500 1564 2066 2355 2270 2099 1621 1144 831
465%! 644 622 886 1121 1652 1967 1907 1668 529 228
466%! 160 752 1232 768 360 284 668 1132 1380 864];
467%! c(:,:,2,1) = [
468%! 150 1174 1903 1971 2030 1719 1467 1420 1220 472
469%! 986 2243 2603 2385 2308 2530 2971 3181 2266 768
470%! 914 2443 3750 3782 3976 3821 3723 3709 2599 1178
471%! 1922 3374 5198 5472 5563 5853 5794 5543 3578 1820
472%! 1060 2471 3846 3724 3682 3803 3812 3927 2876 1390
473%! 470 2078 3283 3225 2701 2265 2165 2261 2324 1124
474%! 700 1130 1486 1515 1830 2097 2081 2028 1009 348];
475%! c(:,:,3,1) = [
476%! 1350 2127 2461 2082 1694 1909 2230 2621 1681 683
477%! 877 2473 4362 4556 4543 4314 3879 3703 2863 1497
478%! 1934 4219 5874 6117 5966 6051 5984 5714 3891 1562
479%! 1927 5997 8573 8456 8517 8025 7957 8101 6121 2500
480%! 1558 3533 5595 6064 6453 6491 6275 5743 3794 1832
481%! 1950 2762 3455 3423 4019 4578 4807 4857 2304 907
482%! 525 1860 2731 2392 1872 1724 1961 2312 2315 1141];
483%! c(:,:,4,1) = [
484%! 150 1317 2230 2621 2996 2767 2472 2049 1514 583
485%! 1429 3056 3879 3703 3756 3964 4394 4570 3111 1250
486%! 1833 4037 5984 5714 5846 5788 5883 6129 4157 2011
487%! 3143 5469 7957 8101 8063 8475 8564 8439 5306 2538
488%! 2001 4514 6275 5743 5391 5389 5578 6110 4473 1953
489%! 817 3196 4807 4857 4229 3659 3477 3375 3208 1400
490%! 750 1365 1961 2312 2840 2993 2722 2344 1092 323];
491%! c(:,:,5,1) = [
492%! 475 734 1296 1352 1400 1595 1557 1517 960 490
493%! 751 1977 2831 2746 2607 2665 2733 2833 2186 912
494%! 1065 3142 4344 4150 3768 3734 3876 4086 3366 1327
495%! 976 3712 5530 5921 6158 5802 5481 5071 3821 1491
496%! 1397 2996 3971 4003 4088 4180 4199 4146 2649 985
497%! 1273 2121 2555 2247 2378 2624 2908 3229 1788 705
498%! 365 1108 1530 1652 1550 1407 1274 1127 889 264];
499%! c(:,:,6,1) = [
500%! 0 133 345 683 982 1058 960 623 310 100
501%! 437 806 1313 1332 1383 1391 1397 1370 864 495
502%! 928 1573 2201 1928 1864 1932 2183 2445 1557 855
503%! 1199 2083 2739 2573 2507 2656 2786 2928 1795 736
504%! 912 1997 2404 2028 1692 1591 1803 2159 1603 599
505%! 345 1092 1526 1666 1593 1437 1275 1116 863 253
506%! 50 235 510 811 998 894 615 318 77 0];
507%! c(:,:,1,2) = [
508%! 840 1350 1176 697 293 320 674 1153 717 180
509%! 142 490 1563 1824 1929 1604 1132 857 624 587
510%! 890 1084 1539 1979 2238 2333 2072 1610 509 202
511%! 966 2263 3034 2518 2250 2235 2512 2992 2305 1016
512%! 200 561 1607 2107 2361 2277 2030 1548 1102 818
513%! 652 631 922 1128 1670 1997 1895 1665 467 197
514%! 160 744 1192 692 292 256 708 1208 1448 900];
515%! c(:,:,2,2) = [
516%! 179 1199 1886 1987 1997 1716 1479 1383 1215 485
517%! 988 2213 2552 2358 2304 2615 3011 3210 2246 744
518%! 921 2483 3747 3768 3960 3835 3712 3698 2588 1183
519%! 1903 3416 5254 5490 5572 5826 5761 5505 3502 1814
520%! 1064 2507 3825 3666 3680 3748 3821 3958 2892 1395
521%! 495 2129 3277 3228 2566 2216 2154 2250 2390 1154
522%! 700 1105 1472 1524 1856 2113 2059 2019 975 325];
523%! c(:,:,3,2) = [
524%! 1302 2104 2439 2006 1723 1931 2280 2685 1678 690
525%! 877 2507 4408 4580 4523 4233 3852 3647 2850 1516
526%! 1949 4238 5895 6143 6018 6063 5930 5656 3847 1538
527%! 1953 5975 8547 8433 8407 8060 7955 8069 6170 2506
528%! 1621 3536 5624 6117 6459 6456 6180 5666 3735 1815
529%! 1904 2751 3429 3366 4122 4622 4840 4864 2242 882
530%! 517 1843 2674 2337 1777 1686 2005 2367 2385 1175];
531%! c(:,:,4,2) = [
532%! 198 1346 2280 2685 2980 2759 2396 1982 1497 576
533%! 1413 2994 3852 3647 3756 4035 4418 4595 3109 1231
534%! 1873 4025 5930 5656 5792 5772 5909 6152 4185 2035
535%! 3110 5510 7955 8069 8139 8456 8541 8439 5276 2541
536%! 1964 4462 6180 5666 5315 5409 5631 6178 4536 1998
537%! 869 3215 4840 4864 4121 3579 3420 3386 3271 1430
538%! 725 1361 2005 2367 2925 3006 2667 2297 1054 325];
539%! c(:,:,5,2) = [
540%! 462 754 1285 1359 1441 1605 1556 1488 938 488
541%! 729 1967 2788 2732 2608 2683 2744 2830 2195 912
542%! 1052 3139 4302 4101 3742 3730 3895 4103 3403 1335
543%! 1007 3725 5577 5964 6165 5754 5407 5006 3846 1507
544%! 1375 2969 3951 3990 4144 4183 4200 4150 2661 998
545%! 1258 2090 2495 2188 2403 2664 2954 3279 1814 723
546%! 388 1127 1551 1673 1525 1390 1253 1139 912 275];
547%! c(:,:,6,2) = [
548%! 19 147 384 716 1016 1059 927 570 276 80
549%! 441 791 1298 1320 1401 1396 1409 1367 865 500
550%! 932 1537 2155 1870 1860 1946 2221 2487 1584 874
551%! 1201 2067 2705 2538 2512 2687 2806 2971 1812 756
552%! 925 1976 2363 1971 1636 1600 1844 2239 1664 626
553%! 372 1133 1558 1687 1570 1401 1243 1122 883 264
554%! 60 270 556 857 1024 870 569 282 66 0];
555%!assert (convn (a, b, "full"), c)
556%!assert (convn (a, b, "same"), c(3:6,2:9,2:5,:))
557%!assert (convn (a, b, "valid"), c(4,3:8,3:4,:))
558
559## test correct class
560%!assert (class (convn (rand (5), rand (3))), "double")
561%!assert (class (convn (rand (5, "single"), rand (3))), "single")
562%!assert (class (convn (rand (5), rand (3, "single"))), "single")
563%!assert (class (convn (true (5), rand (3))), "double")
564%!assert (class (convn (true (5), rand (3, "single"))), "single")
565%!assert (class (convn (ones (5, "uint8"), rand (3))), "double")
566%!assert (class (convn (rand (3, "single"), ones (5, "uint8"))), "single")
567
568%!error convn ()
569%!error convn (1)
570%!error <SHAPE type not valid> convn (1,2, "NOT_A_SHAPE")
571%!error convn (rand (3), 1, 1)
572*/
573
574OCTAVE_NAMESPACE_END
Matrix
Definition: dMatrix.h:42
octave_value
Definition: ov.h:73
Shape
Shape
Definition: conv2.cc:39
SHAPE_VALID
@ SHAPE_VALID
Definition: conv2.cc:39
SHAPE_SAME
@ SHAPE_SAME
Definition: conv2.cc:39
SHAPE_FULL
@ SHAPE_FULL
Definition: conv2.cc:39
print_usage
OCTINTERP_API void print_usage(void)
Definition: defun-int.h:72
DEFUN
#define DEFUN(name, args_name, nargout_name, doc)
Macro to define a builtin function.
Definition: defun.h:56
error
void error(const char *fmt,...)
Definition: error.cc:980
octave::convn
NDArray convn(const NDArray &a, const NDArray &b, convn_type ct)
Definition: oct-convn.cc:213
convn_type
convn_type
Definition: oct-convn.h:52
convn_full
@ convn_full
Definition: oct-convn.h:53
convn_valid
@ convn_valid
Definition: oct-convn.h:55
convn_same
@ convn_same
Definition: oct-convn.h:54
v2
const octave_char_matrix & v2
Definition: op-int-concat.cc:170