Mercurial > octave-nkf
annotate doc/interpreter/func.txi @ 12592:732a568bf694 stable
Modify func.txi discussion of output arguments to include discussion of isargout.
author | Rik <octave@nomad.inbox5.com> |
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date | Mon, 11 Apr 2011 19:03:32 -0700 |
parents | 6f8ffe2c6f76 |
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11523 | 1 @c Copyright (C) 1996-2011 John W. Eaton |
7018 | 2 @c |
3 @c This file is part of Octave. | |
4 @c | |
5 @c Octave is free software; you can redistribute it and/or modify it | |
6 @c under the terms of the GNU General Public License as published by the | |
7 @c Free Software Foundation; either version 3 of the License, or (at | |
8 @c your option) any later version. | |
9 @c | |
10 @c Octave is distributed in the hope that it will be useful, but WITHOUT | |
11 @c ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or | |
12 @c FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License | |
13 @c for more details. | |
14 @c | |
15 @c You should have received a copy of the GNU General Public License | |
16 @c along with Octave; see the file COPYING. If not, see | |
17 @c <http://www.gnu.org/licenses/>. | |
3294 | 18 |
4167 | 19 @node Functions and Scripts |
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20 @chapter Functions and Scripts |
3294 | 21 @cindex defining functions |
22 @cindex user-defined functions | |
23 @cindex functions, user-defined | |
24 @cindex script files | |
25 | |
26 Complicated Octave programs can often be simplified by defining | |
27 functions. Functions can be defined directly on the command line during | |
28 interactive Octave sessions, or in external files, and can be called just | |
29 like built-in functions. | |
30 | |
31 @menu | |
32 * Defining Functions:: | |
33 * Multiple Return Values:: | |
34 * Variable-length Argument Lists:: | |
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35 * Ignoring Arguments:: |
3294 | 36 * Variable-length Return Lists:: |
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37 * Returning from a Function:: |
6510 | 38 * Default Arguments:: |
3294 | 39 * Function Files:: |
40 * Script Files:: | |
6638 | 41 * Function Handles Inline Functions and Anonymous Functions:: |
6549 | 42 * Commands:: |
3294 | 43 * Organization of Functions:: |
44 @end menu | |
45 | |
4167 | 46 @node Defining Functions |
3294 | 47 @section Defining Functions |
48 @cindex @code{function} statement | |
49 @cindex @code{endfunction} statement | |
50 | |
51 In its simplest form, the definition of a function named @var{name} | |
52 looks like this: | |
53 | |
54 @example | |
55 @group | |
56 function @var{name} | |
57 @var{body} | |
58 endfunction | |
59 @end group | |
60 @end example | |
61 | |
62 @noindent | |
63 A valid function name is like a valid variable name: a sequence of | |
64 letters, digits and underscores, not starting with a digit. Functions | |
65 share the same pool of names as variables. | |
66 | |
67 The function @var{body} consists of Octave statements. It is the | |
68 most important part of the definition, because it says what the function | |
69 should actually @emph{do}. | |
70 | |
71 For example, here is a function that, when executed, will ring the bell | |
72 on your terminal (assuming that it is possible to do so): | |
73 | |
74 @example | |
75 @group | |
76 function wakeup | |
77 printf ("\a"); | |
78 endfunction | |
79 @end group | |
80 @end example | |
81 | |
82 The @code{printf} statement (@pxref{Input and Output}) simply tells | |
83 Octave to print the string @code{"\a"}. The special character @samp{\a} | |
84 stands for the alert character (ASCII 7). @xref{Strings}. | |
85 | |
86 Once this function is defined, you can ask Octave to evaluate it by | |
87 typing the name of the function. | |
88 | |
89 Normally, you will want to pass some information to the functions you | |
90 define. The syntax for passing parameters to a function in Octave is | |
91 | |
92 @example | |
93 @group | |
94 function @var{name} (@var{arg-list}) | |
95 @var{body} | |
96 endfunction | |
97 @end group | |
98 @end example | |
99 | |
100 @noindent | |
101 where @var{arg-list} is a comma-separated list of the function's | |
102 arguments. When the function is called, the argument names are used to | |
103 hold the argument values given in the call. The list of arguments may | |
104 be empty, in which case this form is equivalent to the one shown above. | |
105 | |
106 To print a message along with ringing the bell, you might modify the | |
6510 | 107 @code{wakeup} to look like this: |
3294 | 108 |
109 @example | |
110 @group | |
111 function wakeup (message) | |
112 printf ("\a%s\n", message); | |
113 endfunction | |
114 @end group | |
115 @end example | |
116 | |
117 Calling this function using a statement like this | |
118 | |
119 @example | |
120 wakeup ("Rise and shine!"); | |
121 @end example | |
122 | |
123 @noindent | |
124 will cause Octave to ring your terminal's bell and print the message | |
125 @samp{Rise and shine!}, followed by a newline character (the @samp{\n} | |
126 in the first argument to the @code{printf} statement). | |
127 | |
128 In most cases, you will also want to get some information back from the | |
129 functions you define. Here is the syntax for writing a function that | |
130 returns a single value: | |
131 | |
132 @example | |
133 @group | |
134 function @var{ret-var} = @var{name} (@var{arg-list}) | |
135 @var{body} | |
136 endfunction | |
137 @end group | |
138 @end example | |
139 | |
140 @noindent | |
141 The symbol @var{ret-var} is the name of the variable that will hold the | |
142 value to be returned by the function. This variable must be defined | |
143 before the end of the function body in order for the function to return | |
144 a value. | |
145 | |
146 Variables used in the body of a function are local to the | |
147 function. Variables named in @var{arg-list} and @var{ret-var} are also | |
148 local to the function. @xref{Global Variables}, for information about | |
149 how to access global variables inside a function. | |
150 | |
151 For example, here is a function that computes the average of the | |
152 elements of a vector: | |
153 | |
154 @example | |
155 @group | |
156 function retval = avg (v) | |
157 retval = sum (v) / length (v); | |
158 endfunction | |
159 @end group | |
160 @end example | |
161 | |
162 If we had written @code{avg} like this instead, | |
163 | |
164 @example | |
165 @group | |
166 function retval = avg (v) | |
4029 | 167 if (isvector (v)) |
3294 | 168 retval = sum (v) / length (v); |
169 endif | |
170 endfunction | |
171 @end group | |
172 @end example | |
173 | |
174 @noindent | |
175 and then called the function with a matrix instead of a vector as the | |
176 argument, Octave would have printed an error message like this: | |
177 | |
178 @example | |
179 @group | |
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180 error: value on right hand side of assignment is undefined |
3294 | 181 @end group |
182 @end example | |
183 | |
184 @noindent | |
185 because the body of the @code{if} statement was never executed, and | |
186 @code{retval} was never defined. To prevent obscure errors like this, | |
187 it is a good idea to always make sure that the return variables will | |
188 always have values, and to produce meaningful error messages when | |
189 problems are encountered. For example, @code{avg} could have been | |
190 written like this: | |
191 | |
192 @example | |
193 @group | |
194 function retval = avg (v) | |
195 retval = 0; | |
4029 | 196 if (isvector (v)) |
3294 | 197 retval = sum (v) / length (v); |
198 else | |
199 error ("avg: expecting vector argument"); | |
200 endif | |
201 endfunction | |
202 @end group | |
203 @end example | |
204 | |
205 There is still one additional problem with this function. What if it is | |
206 called without an argument? Without additional error checking, Octave | |
207 will probably print an error message that won't really help you track | |
208 down the source of the error. To allow you to catch errors like this, | |
209 Octave provides each function with an automatic variable called | |
210 @code{nargin}. Each time a function is called, @code{nargin} is | |
211 automatically initialized to the number of arguments that have actually | |
212 been passed to the function. For example, we might rewrite the | |
213 @code{avg} function like this: | |
214 | |
215 @example | |
216 @group | |
217 function retval = avg (v) | |
218 retval = 0; | |
219 if (nargin != 1) | |
220 usage ("avg (vector)"); | |
221 endif | |
4029 | 222 if (isvector (v)) |
3294 | 223 retval = sum (v) / length (v); |
224 else | |
225 error ("avg: expecting vector argument"); | |
226 endif | |
227 endfunction | |
228 @end group | |
229 @end example | |
230 | |
231 Although Octave does not automatically report an error if you call a | |
232 function with more arguments than expected, doing so probably indicates | |
233 that something is wrong. Octave also does not automatically report an | |
234 error if a function is called with too few arguments, but any attempt to | |
235 use a variable that has not been given a value will result in an error. | |
236 To avoid such problems and to provide useful messages, we check for both | |
237 possibilities and issue our own error message. | |
238 | |
4700 | 239 @DOCSTRING(nargin) |
3294 | 240 |
6558 | 241 @DOCSTRING(inputname) |
242 | |
3371 | 243 @DOCSTRING(silent_functions) |
3294 | 244 |
4167 | 245 @node Multiple Return Values |
3294 | 246 @section Multiple Return Values |
247 | |
248 Unlike many other computer languages, Octave allows you to define | |
249 functions that return more than one value. The syntax for defining | |
250 functions that return multiple values is | |
251 | |
252 @example | |
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253 @group |
3294 | 254 function [@var{ret-list}] = @var{name} (@var{arg-list}) |
255 @var{body} | |
256 endfunction | |
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257 @end group |
3294 | 258 @end example |
259 | |
260 @noindent | |
261 where @var{name}, @var{arg-list}, and @var{body} have the same meaning | |
262 as before, and @var{ret-list} is a comma-separated list of variable | |
263 names that will hold the values returned from the function. The list of | |
264 return values must have at least one element. If @var{ret-list} has | |
265 only one element, this form of the @code{function} statement is | |
266 equivalent to the form described in the previous section. | |
267 | |
268 Here is an example of a function that returns two values, the maximum | |
269 element of a vector and the index of its first occurrence in the vector. | |
270 | |
271 @example | |
272 @group | |
273 function [max, idx] = vmax (v) | |
274 idx = 1; | |
275 max = v (idx); | |
276 for i = 2:length (v) | |
277 if (v (i) > max) | |
278 max = v (i); | |
279 idx = i; | |
280 endif | |
281 endfor | |
282 endfunction | |
283 @end group | |
284 @end example | |
285 | |
286 In this particular case, the two values could have been returned as | |
287 elements of a single array, but that is not always possible or | |
288 convenient. The values to be returned may not have compatible | |
289 dimensions, and it is often desirable to give the individual return | |
290 values distinct names. | |
291 | |
292 In addition to setting @code{nargin} each time a function is called, | |
293 Octave also automatically initializes @code{nargout} to the number of | |
294 values that are expected to be returned. This allows you to write | |
295 functions that behave differently depending on the number of values that | |
296 the user of the function has requested. The implicit assignment to the | |
297 built-in variable @code{ans} does not figure in the count of output | |
298 arguments, so the value of @code{nargout} may be zero. | |
299 | |
300 The @code{svd} and @code{lu} functions are examples of built-in | |
301 functions that behave differently depending on the value of | |
302 @code{nargout}. | |
303 | |
304 It is possible to write functions that only set some return values. For | |
305 example, calling the function | |
306 | |
307 @example | |
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308 @group |
3294 | 309 function [x, y, z] = f () |
310 x = 1; | |
311 z = 2; | |
312 endfunction | |
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313 @end group |
3294 | 314 @end example |
315 | |
316 @noindent | |
317 as | |
318 | |
319 @example | |
320 [a, b, c] = f () | |
321 @end example | |
322 | |
323 @noindent | |
324 produces: | |
325 | |
326 @example | |
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327 @group |
3294 | 328 a = 1 |
329 | |
330 b = [](0x0) | |
331 | |
332 c = 2 | |
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333 @end group |
3294 | 334 @end example |
335 | |
336 @noindent | |
6501 | 337 along with a warning. |
3294 | 338 |
4700 | 339 @DOCSTRING(nargout) |
3294 | 340 |
3371 | 341 @DOCSTRING(nargchk) |
3294 | 342 |
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343 @DOCSTRING(nargoutchk) |
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344 |
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345 @anchor{doc-varargin} @anchor{doc-varargout} |
4167 | 346 @node Variable-length Argument Lists |
3294 | 347 @section Variable-length Argument Lists |
4933 | 348 @cindex variable-length argument lists |
8567 | 349 @cindex @code{varargin} |
8072 | 350 |
6510 | 351 Sometimes the number of input arguments is not known when the function |
352 is defined. As an example think of a function that returns the smallest | |
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353 of all its input arguments. For example: |
6510 | 354 |
355 @example | |
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356 @group |
6510 | 357 a = smallest (1, 2, 3); |
358 b = smallest (1, 2, 3, 4); | |
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359 @end group |
6510 | 360 @end example |
361 | |
362 @noindent | |
363 In this example both @code{a} and @code{b} would be 1. One way to write | |
364 the @code{smallest} function is | |
365 | |
366 @example | |
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367 @group |
6510 | 368 function val = smallest (arg1, arg2, arg3, arg4, arg5) |
369 @var{body} | |
370 endfunction | |
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371 @end group |
6510 | 372 @end example |
373 | |
374 @noindent | |
375 and then use the value of @code{nargin} to determine which of the input | |
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376 arguments should be considered. The problem with this approach is |
6510 | 377 that it can only handle a limited number of input arguments. |
378 | |
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379 If the special parameter name @code{varargin} appears at the end of a |
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380 function parameter list it indicates that the function takes a variable |
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381 number of input arguments. Using @code{varargin} the function |
6510 | 382 looks like this |
383 | |
384 @example | |
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385 @group |
6510 | 386 function val = smallest (varargin) |
387 @var{body} | |
388 endfunction | |
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389 @end group |
6510 | 390 @end example |
391 | |
392 @noindent | |
393 In the function body the input arguments can be accessed through the | |
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394 variable @code{varargin}. This variable is a cell array containing |
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395 all the input arguments. @xref{Cell Arrays}, for details on working |
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396 with cell arrays. The @code{smallest} function can now be defined |
6510 | 397 like this |
398 | |
399 @example | |
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400 @group |
6510 | 401 function val = smallest (varargin) |
402 val = min ([varargin@{:@}]); | |
403 endfunction | |
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404 @end group |
6510 | 405 @end example |
406 | |
407 @noindent | |
408 This implementation handles any number of input arguments, but it's also | |
409 a very simple solution to the problem. | |
410 | |
411 A slightly more complex example of @code{varargin} is a function | |
412 @code{print_arguments} that prints all input arguments. Such a function | |
413 can be defined like this | |
414 | |
415 @example | |
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416 @group |
6510 | 417 function print_arguments (varargin) |
418 for i = 1:length (varargin) | |
419 printf ("Input argument %d: ", i); | |
420 disp (varargin@{i@}); | |
421 endfor | |
422 endfunction | |
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423 @end group |
6510 | 424 @end example |
425 | |
426 @noindent | |
427 This function produces output like this | |
428 | |
429 @example | |
430 @group | |
431 print_arguments (1, "two", 3); | |
432 @print{} Input argument 1: 1 | |
433 @print{} Input argument 2: two | |
434 @print{} Input argument 3: 3 | |
435 @end group | |
436 @end example | |
3294 | 437 |
6558 | 438 @DOCSTRING(parseparams) |
439 | |
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440 @node Ignoring Arguments |
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441 @section Ignoring Arguments |
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442 |
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443 In the formal argument list, it is possible to use the dummy placeholder |
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444 @code{~} instead of a name. This indicates that the corresponding argument |
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445 value should be ignored and not stored to any variable. |
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446 |
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447 @example |
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448 @group |
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449 function val = pick2nd (~, arg2) |
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450 val = arg2; |
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451 endfunction |
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452 @end group |
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453 @end example |
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454 |
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455 The value of @code{nargin} is not affected by using this declaration. |
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456 |
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457 Return arguments can also be ignored using the same syntax. Functions may |
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458 take advantage of ignored outputs to reduce the number of calculations |
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459 performed. To do so, use the @code{isargout} function to query whether the |
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460 output argument is wanted. For example: |
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461 |
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462 @example |
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463 @group |
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464 function [out1, out2] = long_function (x, y, z) |
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465 if (isargout (1)) |
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466 ## Long calculation |
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467 @dots{} |
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468 out1 = result; |
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469 endif |
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470 @dots{} |
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471 endfunction |
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472 @end group |
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473 @end example |
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474 |
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475 @DOCSTRING(isargout) |
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476 |
4167 | 477 @node Variable-length Return Lists |
3294 | 478 @section Variable-length Return Lists |
4933 | 479 @cindex variable-length return lists |
8567 | 480 @cindex @code{varargout} |
8072 | 481 |
6510 | 482 It is possible to return a variable number of output arguments from a |
483 function using a syntax that's similar to the one used with the | |
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484 special @code{varargin} parameter name. To let a function return a |
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485 variable number of output arguments the special output parameter name |
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486 @code{varargout} is used. As with @code{varargin}, @code{varargout} is |
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487 a cell array that will contain the requested output arguments. |
6510 | 488 |
489 As an example the following function sets the first output argument to | |
490 1, the second to 2, and so on. | |
491 | |
492 @example | |
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493 @group |
6510 | 494 function varargout = one_to_n () |
495 for i = 1:nargout | |
496 varargout@{i@} = i; | |
497 endfor | |
498 endfunction | |
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499 @end group |
6510 | 500 @end example |
501 | |
502 @noindent | |
503 When called this function returns values like this | |
504 | |
505 @example | |
506 @group | |
507 [a, b, c] = one_to_n () | |
508 @result{} a = 1 | |
509 @result{} b = 2 | |
510 @result{} c = 3 | |
511 @end group | |
512 @end example | |
3294 | 513 |
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514 If @code{varargin} (@code{varargout}) does not appear as the last |
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515 element of the input (output) parameter list, then it is not special, |
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516 and is handled the same as any other parameter name. |
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517 |
6558 | 518 @DOCSTRING(deal) |
519 | |
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520 @node Returning from a Function |
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521 @section Returning from a Function |
3294 | 522 |
523 The body of a user-defined function can contain a @code{return} statement. | |
524 This statement returns control to the rest of the Octave program. It | |
525 looks like this: | |
526 | |
527 @example | |
528 return | |
529 @end example | |
530 | |
531 Unlike the @code{return} statement in C, Octave's @code{return} | |
532 statement cannot be used to return a value from a function. Instead, | |
533 you must assign values to the list of return variables that are part of | |
534 the @code{function} statement. The @code{return} statement simply makes | |
535 it easier to exit a function from a deeply nested loop or conditional | |
536 statement. | |
537 | |
538 Here is an example of a function that checks to see if any elements of a | |
539 vector are nonzero. | |
540 | |
541 @example | |
542 @group | |
543 function retval = any_nonzero (v) | |
544 retval = 0; | |
545 for i = 1:length (v) | |
546 if (v (i) != 0) | |
547 retval = 1; | |
548 return; | |
549 endif | |
550 endfor | |
551 printf ("no nonzero elements found\n"); | |
552 endfunction | |
553 @end group | |
554 @end example | |
555 | |
556 Note that this function could not have been written using the | |
557 @code{break} statement to exit the loop once a nonzero value is found | |
558 without adding extra logic to avoid printing the message if the vector | |
559 does contain a nonzero element. | |
560 | |
11547 | 561 @deftypefn {Keyword} {} return |
3294 | 562 When Octave encounters the keyword @code{return} inside a function or |
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563 script, it returns control to the caller immediately. At the top level, |
3294 | 564 the return statement is ignored. A @code{return} statement is assumed |
565 at the end of every function definition. | |
11547 | 566 @end deftypefn |
3294 | 567 |
6510 | 568 @node Default Arguments |
569 @section Default Arguments | |
570 @cindex default arguments | |
571 | |
572 Since Octave supports variable number of input arguments, it is very useful | |
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573 to assign default values to some input arguments. When an input argument |
6510 | 574 is declared in the argument list it is possible to assign a default |
575 value to the argument like this | |
576 | |
577 @example | |
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578 @group |
6510 | 579 function @var{name} (@var{arg1} = @var{val1}, @dots{}) |
580 @var{body} | |
581 endfunction | |
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582 @end group |
6510 | 583 @end example |
584 | |
585 @noindent | |
586 If no value is assigned to @var{arg1} by the user, it will have the | |
587 value @var{val1}. | |
588 | |
589 As an example, the following function implements a variant of the classic | |
590 ``Hello, World'' program. | |
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591 |
6510 | 592 @example |
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593 @group |
6510 | 594 function hello (who = "World") |
595 printf ("Hello, %s!\n", who); | |
596 endfunction | |
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597 @end group |
6510 | 598 @end example |
599 | |
600 @noindent | |
601 When called without an input argument the function prints the following | |
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602 |
6510 | 603 @example |
604 @group | |
605 hello (); | |
606 @print{} Hello, World! | |
607 @end group | |
608 @end example | |
609 | |
610 @noindent | |
611 and when it's called with an input argument it prints the following | |
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612 |
6510 | 613 @example |
614 @group | |
615 hello ("Beautiful World of Free Software"); | |
616 @print{} Hello, Beautiful World of Free Software! | |
617 @end group | |
618 @end example | |
619 | |
620 Sometimes it is useful to explicitly tell Octave to use the default value | |
621 of an input argument. This can be done writing a @samp{:} as the value | |
622 of the input argument when calling the function. | |
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623 |
6510 | 624 @example |
625 @group | |
626 hello (:); | |
627 @print{} Hello, World! | |
628 @end group | |
629 @end example | |
630 | |
4167 | 631 @node Function Files |
3294 | 632 @section Function Files |
633 @cindex function file | |
634 | |
635 Except for simple one-shot programs, it is not practical to have to | |
636 define all the functions you need each time you need them. Instead, you | |
637 will normally want to save them in a file so that you can easily edit | |
638 them, and save them for use at a later time. | |
639 | |
640 Octave does not require you to load function definitions from files | |
641 before using them. You simply need to put the function definitions in a | |
642 place where Octave can find them. | |
643 | |
644 When Octave encounters an identifier that is undefined, it first looks | |
645 for variables or functions that are already compiled and currently | |
646 listed in its symbol table. If it fails to find a definition there, it | |
6556 | 647 searches a list of directories (the @dfn{path}) for files ending in |
6554 | 648 @file{.m} that have the same base name as the undefined |
649 identifier.@footnote{The @samp{.m} suffix was chosen for compatibility | |
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650 with @sc{matlab}.} Once Octave finds a file with a name that matches, |
6554 | 651 the contents of the file are read. If it defines a @emph{single} |
652 function, it is compiled and executed. @xref{Script Files}, for more | |
653 information about how you can define more than one function in a single | |
654 file. | |
3294 | 655 |
656 When Octave defines a function from a function file, it saves the full | |
6554 | 657 name of the file it read and the time stamp on the file. If the time |
658 stamp on the file changes, Octave may reload the file. When Octave is | |
659 running interactively, time stamp checking normally happens at most once | |
660 each time Octave prints the prompt. Searching for new function | |
661 definitions also occurs if the current working directory changes. | |
3294 | 662 |
663 Checking the time stamp allows you to edit the definition of a function | |
664 while Octave is running, and automatically use the new function | |
6554 | 665 definition without having to restart your Octave session. |
3294 | 666 |
667 To avoid degrading performance unnecessarily by checking the time stamps | |
668 on functions that are not likely to change, Octave assumes that function | |
669 files in the directory tree | |
670 @file{@var{octave-home}/share/octave/@var{version}/m} | |
671 will not change, so it doesn't have to check their time stamps every time the | |
672 functions defined in those files are used. This is normally a very good | |
673 assumption and provides a significant improvement in performance for the | |
674 function files that are distributed with Octave. | |
675 | |
676 If you know that your own function files will not change while you are | |
6554 | 677 running Octave, you can improve performance by calling |
678 @code{ignore_function_time_stamp ("all")}, so that Octave will | |
679 ignore the time stamps for all function files. Passing | |
680 @code{"system"} to this function resets the default behavior. | |
3294 | 681 |
5775 | 682 @c FIXME -- note about time stamps on files in NFS environments? |
3294 | 683 |
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684 @DOCSTRING(edit) |
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685 |
6549 | 686 @DOCSTRING(mfilename) |
687 | |
6638 | 688 @DOCSTRING(ignore_function_time_stamp) |
689 | |
690 @menu | |
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691 * Manipulating the Load Path:: |
6638 | 692 * Subfunctions:: |
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693 * Private Functions:: |
6638 | 694 * Overloading and Autoloading:: |
695 * Function Locking:: | |
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696 * Function Precedence:: |
6638 | 697 @end menu |
698 | |
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699 @node Manipulating the Load Path |
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700 @subsection Manipulating the Load Path |
6638 | 701 |
8828 | 702 When a function is called, Octave searches a list of directories for |
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703 a file that contains the function declaration. This list of directories |
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704 is known as the load path. By default the load path contains |
6638 | 705 a list of directories distributed with Octave plus the current |
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706 working directory. To see your current load path call the @code{path} |
6638 | 707 function without any input or output arguments. |
708 | |
709 It is possible to add or remove directories to or from the load path | |
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710 using @code{addpath} and @code{rmpath}. As an example, the following |
6638 | 711 code adds @samp{~/Octave} to the load path. |
712 | |
713 @example | |
714 addpath("~/Octave") | |
715 @end example | |
716 | |
717 @noindent | |
718 After this the directory @samp{~/Octave} will be searched for functions. | |
719 | |
6502 | 720 @DOCSTRING(addpath) |
721 | |
722 @DOCSTRING(genpath) | |
723 | |
724 @DOCSTRING(rmpath) | |
725 | |
726 @DOCSTRING(savepath) | |
727 | |
6477 | 728 @DOCSTRING(path) |
3294 | 729 |
6502 | 730 @DOCSTRING(pathdef) |
731 | |
732 @DOCSTRING(pathsep) | |
733 | |
3428 | 734 @DOCSTRING(rehash) |
735 | |
736 @DOCSTRING(file_in_loadpath) | |
737 | |
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738 @DOCSTRING(restoredefaultpath) |
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739 |
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740 @DOCSTRING(command_line_path) |
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741 |
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742 @DOCSTRING(find_dir_in_path) |
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743 |
6556 | 744 @node Subfunctions |
745 @subsection Subfunctions | |
746 | |
747 A function file may contain secondary functions called | |
748 @dfn{subfunctions}. These secondary functions are only visible to the | |
749 other functions in the same function file. For example, a file | |
750 @file{f.m} containing | |
751 | |
752 @example | |
753 @group | |
754 function f () | |
755 printf ("in f, calling g\n"); | |
756 g () | |
757 endfunction | |
758 function g () | |
759 printf ("in g, calling h\n"); | |
6638 | 760 h () |
6556 | 761 endfunction |
762 function h () | |
763 printf ("in h\n") | |
764 endfunction | |
765 @end group | |
766 @end example | |
767 | |
768 @noindent | |
769 defines a main function @code{f} and two subfunctions. The | |
770 subfunctions @code{g} and @code{h} may only be called from the main | |
771 function @code{f} or from the other subfunctions, but not from outside | |
772 the file @file{f.m}. | |
773 | |
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774 @node Private Functions |
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775 @subsection Private Functions |
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776 |
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777 In many cases one function needs to access one or more helper |
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778 functions. If the helper function is limited to the scope of a single |
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779 function, then subfunctions as discussed above might be used. However, |
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780 if a single helper function is used by more than one function, then |
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781 this is no longer possible. In this case the helper functions might |
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782 be placed in a subdirectory, called "private", of the directory in which |
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783 the functions needing access to this helper function are found. |
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784 |
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785 As a simple example, consider a function @code{func1}, that calls a helper |
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786 function @code{func2} to do much of the work. For example: |
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787 |
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788 @example |
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789 @group |
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790 function y = func1 (x) |
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791 y = func2 (x); |
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792 endfunction |
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793 @end group |
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794 @end example |
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795 |
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796 @noindent |
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797 Then if the path to @code{func1} is @code{<directory>/func1.m}, and if |
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798 @code{func2} is found in the directory @code{<directory>/private/func2.m}, |
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799 then @code{func2} is only available for use of the functions, like |
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800 @code{func1}, that are found in @code{<directory>}. |
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801 |
6635 | 802 @node Overloading and Autoloading |
803 @subsection Overloading and Autoloading | |
804 | |
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805 Functions can be overloaded to work with different input arguments. For |
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806 example, the operator '+' has been overloaded in Octave to work with single, |
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807 double, uint8, int32, and many other arguments. The preferred way to overload |
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808 functions is through classes and object oriented programming |
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809 (@pxref{Function Overloading}). Occasionally, however, one needs to undo |
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810 user overloading and call the default function associated with a specific |
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811 type. The @code{builtin} function exists for this purpose. |
6635 | 812 |
813 @DOCSTRING(builtin) | |
814 | |
815 A single dynamically linked file might define several | |
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816 functions. However, as Octave searches for functions based on the |
6635 | 817 functions filename, Octave needs a manner in which to find each of the |
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818 functions in the dynamically linked file. On operating systems that |
6635 | 819 support symbolic links, it is possible to create a symbolic link to the |
820 original file for each of the functions which it contains. | |
821 | |
822 However, there is at least one well known operating system that doesn't | |
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823 support symbolic links. Making copies of the original file for each of |
8828 | 824 the functions is undesirable as it increases the |
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825 amount of disk space used by Octave. Instead Octave supplies the |
6635 | 826 @code{autoload} function, that permits the user to define in which |
827 file a certain function will be found. | |
828 | |
829 @DOCSTRING(autoload) | |
830 | |
831 @node Function Locking | |
832 @subsection Function Locking | |
833 | |
834 It is sometime desirable to lock a function into memory with the | |
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835 @code{mlock} function. This is typically used for dynamically linked |
6899 | 836 functions in Oct-files or mex-files that contain some initialization, |
837 and it is desirable that calling @code{clear} does not remove this | |
6635 | 838 initialization. |
839 | |
6899 | 840 As an example, |
841 | |
842 @example | |
843 mlock ("my_function"); | |
844 @end example | |
845 | |
846 @noindent | |
847 prevents @code{my_function} from being removed from memory, even if | |
848 @code{clear} is called. It is possible to determine if a function is | |
849 locked into memory with the @code{mislocked}, and to unlock a function | |
850 with @code{munlock}, which the following illustrates. | |
851 | |
852 @example | |
853 @group | |
854 mlock ("my_function"); | |
855 mislocked ("my_function") | |
856 @result{} ans = 1 | |
857 munlock ("my_function"); | |
858 mislocked ("my_function") | |
859 @result{} ans = 0 | |
860 @end group | |
861 @end example | |
862 | |
863 A common use of @code{mlock} is to prevent persistent variables from | |
8828 | 864 being removed from memory, as the following example shows: |
6899 | 865 |
866 @example | |
867 @group | |
868 function count_calls() | |
869 persistent calls = 0; | |
7031 | 870 printf ("'count_calls' has been called %d times\n", |
871 ++calls); | |
6899 | 872 endfunction |
873 mlock ("count_calls"); | |
874 | |
875 count_calls (); | |
876 @print{} 'count_calls' has been called 1 times | |
877 | |
878 clear count_calls | |
879 count_calls (); | |
880 @print{} 'count_calls' has been called 2 times | |
881 @end group | |
882 @end example | |
883 | |
884 @noindent | |
885 It is, however, often inconvenient to lock a function from the prompt, | |
886 so it is also possible to lock a function from within its body. This | |
887 is simply done by calling @code{mlock} from within the function. | |
888 | |
889 @example | |
890 @group | |
891 function count_calls () | |
892 mlock (); | |
893 persistent calls = 0; | |
7031 | 894 printf ("'count_calls' has been called %d times\n", |
895 ++calls); | |
6899 | 896 endfunction |
897 @end group | |
898 @end example | |
899 | |
900 @code{mlock} might equally be used to prevent changes to a function from having | |
6635 | 901 effect in Octave, though a similar effect can be had with the |
902 @code{ignore_function_time_stamp} function. | |
903 | |
904 @DOCSTRING(mlock) | |
905 | |
906 @DOCSTRING(munlock) | |
907 | |
908 @DOCSTRING(mislocked) | |
909 | |
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910 @node Function Precedence |
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911 @subsection Function Precedence |
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912 |
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913 Given the numerous different ways that Octave can define a function, it |
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914 is possible and even likely that multiple versions of a function, might be |
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915 defined within a particular scope. The precedence of which function will be |
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916 used within a particular scope is given by |
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917 |
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918 @enumerate 1 |
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919 @item Subfunction |
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920 A subfunction with the required function name in the given scope. |
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921 |
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922 @item Private function |
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923 A function defined within a private directory of the directory |
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924 which contains the current function. |
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925 |
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926 @item Class constructor |
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927 A function that constuctors a user class as defined in chapter |
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928 @ref{Object Oriented Programming}. |
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929 |
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930 @item Class method |
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931 An overloaded function of a class as in chapter |
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932 @ref{Object Oriented Programming}. |
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933 |
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934 @item Legacy Dispatch |
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935 An overloaded function as defined by @code{dispatch}. |
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936 |
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937 @item Command-line Function |
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938 A function that has been defined on the command-line. |
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939 |
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940 @item Autoload function |
8235 | 941 A function that is marked as autoloaded with @xref{doc-autoload}. |
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942 |
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943 @item A Function on the Path |
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944 A function that can be found on the users load-path. There can also be |
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945 Oct-file, mex-file or m-file versions of this function and the precedence |
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946 between these versions are in that order. |
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947 |
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948 @item Built-in function |
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949 A function that is builtin to Octave itself such as @code{numel}, |
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950 @code{size}, etc. |
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951 @end enumerate |
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952 |
4167 | 953 @node Script Files |
3294 | 954 @section Script Files |
955 | |
956 A script file is a file containing (almost) any sequence of Octave | |
957 commands. It is read and evaluated just as if you had typed each | |
958 command at the Octave prompt, and provides a convenient way to perform a | |
959 sequence of commands that do not logically belong inside a function. | |
960 | |
961 Unlike a function file, a script file must @emph{not} begin with the | |
962 keyword @code{function}. If it does, Octave will assume that it is a | |
963 function file, and that it defines a single function that should be | |
964 evaluated as soon as it is defined. | |
965 | |
966 A script file also differs from a function file in that the variables | |
967 named in a script file are not local variables, but are in the same | |
968 scope as the other variables that are visible on the command line. | |
969 | |
970 Even though a script file may not begin with the @code{function} | |
971 keyword, it is possible to define more than one function in a single | |
972 script file and load (but not execute) all of them at once. To do | |
973 this, the first token in the file (ignoring comments and other white | |
974 space) must be something other than @code{function}. If you have no | |
975 other statements to evaluate, you can use a statement that has no | |
976 effect, like this: | |
977 | |
978 @example | |
979 @group | |
980 # Prevent Octave from thinking that this | |
981 # is a function file: | |
982 | |
983 1; | |
984 | |
985 # Define function one: | |
986 | |
987 function one () | |
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988 @dots{} |
3294 | 989 @end group |
990 @end example | |
991 | |
992 To have Octave read and compile these functions into an internal form, | |
6638 | 993 you need to make sure that the file is in Octave's load path |
6477 | 994 (accessible through the @code{path} function), then simply type the |
995 base name of the file that contains the commands. (Octave uses the | |
996 same rules to search for script files as it does to search for | |
997 function files.) | |
3294 | 998 |
999 If the first token in a file (ignoring comments) is @code{function}, | |
1000 Octave will compile the function and try to execute it, printing a | |
1001 message warning about any non-whitespace characters that appear after | |
1002 the function definition. | |
1003 | |
1004 Note that Octave does not try to look up the definition of any identifier | |
1005 until it needs to evaluate it. This means that Octave will compile the | |
1006 following statements if they appear in a script file, or are typed at | |
1007 the command line, | |
1008 | |
1009 @example | |
1010 @group | |
1011 # not a function file: | |
1012 1; | |
1013 function foo () | |
1014 do_something (); | |
1015 endfunction | |
1016 function do_something () | |
1017 do_something_else (); | |
1018 endfunction | |
1019 @end group | |
1020 @end example | |
1021 | |
1022 @noindent | |
1023 even though the function @code{do_something} is not defined before it is | |
1024 referenced in the function @code{foo}. This is not an error because | |
1025 Octave does not need to resolve all symbols that are referenced by a | |
1026 function until the function is actually evaluated. | |
1027 | |
1028 Since Octave doesn't look for definitions until they are needed, the | |
1029 following code will always print @samp{bar = 3} whether it is typed | |
1030 directly on the command line, read from a script file, or is part of a | |
1031 function body, even if there is a function or script file called | |
6477 | 1032 @file{bar.m} in Octave's path. |
3294 | 1033 |
1034 @example | |
1035 @group | |
1036 eval ("bar = 3"); | |
1037 bar | |
1038 @end group | |
1039 @end example | |
1040 | |
1041 Code like this appearing within a function body could fool Octave if | |
1042 definitions were resolved as the function was being compiled. It would | |
1043 be virtually impossible to make Octave clever enough to evaluate this | |
1044 code in a consistent fashion. The parser would have to be able to | |
1045 perform the call to @code{eval} at compile time, and that would be | |
1046 impossible unless all the references in the string to be evaluated could | |
1047 also be resolved, and requiring that would be too restrictive (the | |
1048 string might come from user input, or depend on things that are not | |
1049 known until the function is evaluated). | |
1050 | |
1051 Although Octave normally executes commands from script files that have | |
1052 the name @file{@var{file}.m}, you can use the function @code{source} to | |
1053 execute commands from any file. | |
1054 | |
3371 | 1055 @DOCSTRING(source) |
3294 | 1056 |
6638 | 1057 @node Function Handles Inline Functions and Anonymous Functions |
1058 @section Function Handles, Inline Functions, and Anonymous Functions | |
4933 | 1059 @cindex handle, function handles |
1060 @cindex inline, inline functions | |
6638 | 1061 @cindex anonymous functions |
4933 | 1062 |
6638 | 1063 It can be very convenient store a function in a variable so that it |
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1064 can be passed to a different function. For example, a function that |
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1065 performs numerical minimization needs access to the function that |
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1066 should be minimized. |
4933 | 1067 |
1068 @menu | |
1069 * Function Handles:: | |
6554 | 1070 * Anonymous Functions:: |
4933 | 1071 * Inline Functions:: |
1072 @end menu | |
1073 | |
1074 @node Function Handles | |
1075 @subsection Function Handles | |
1076 | |
6554 | 1077 A function handle is a pointer to another function and is defined with |
1078 the syntax | |
1079 | |
1080 @example | |
1081 @@@var{function-name} | |
1082 @end example | |
1083 | |
1084 @noindent | |
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1085 For example, |
6554 | 1086 |
1087 @example | |
6556 | 1088 f = @@sin; |
6554 | 1089 @end example |
1090 | |
1091 @noindent | |
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1092 creates a function handle called @code{f} that refers to the |
6554 | 1093 function @code{sin}. |
1094 | |
1095 Function handles are used to call other functions indirectly, or to pass | |
1096 a function as an argument to another function like @code{quad} or | |
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1097 @code{fsolve}. For example: |
6554 | 1098 |
1099 @example | |
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1100 @group |
6556 | 1101 f = @@sin; |
6554 | 1102 quad (f, 0, pi) |
6929 | 1103 @result{} 2 |
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1104 @end group |
6554 | 1105 @end example |
1106 | |
1107 You may use @code{feval} to call a function using function handle, or | |
6570 | 1108 simply write the name of the function handle followed by an argument |
6554 | 1109 list. If there are no arguments, you must use an empty argument list |
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1110 @samp{()}. For example: |
6554 | 1111 |
1112 @example | |
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1113 @group |
6556 | 1114 f = @@sin; |
6554 | 1115 feval (f, pi/4) |
6570 | 1116 @result{} 0.70711 |
6554 | 1117 f (pi/4) |
6570 | 1118 @result{} 0.70711 |
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1119 @end group |
6554 | 1120 @end example |
1121 | |
4933 | 1122 @DOCSTRING(functions) |
1123 | |
1124 @DOCSTRING(func2str) | |
1125 | |
1126 @DOCSTRING(str2func) | |
1127 | |
6570 | 1128 @node Anonymous Functions |
6554 | 1129 @subsection Anonymous Functions |
1130 | |
1131 Anonymous functions are defined using the syntax | |
1132 | |
1133 @example | |
1134 @@(@var{argument-list}) @var{expression} | |
1135 @end example | |
1136 | |
1137 @noindent | |
1138 Any variables that are not found in the argument list are inherited from | |
1139 the enclosing scope. Anonymous functions are useful for creating simple | |
1140 unnamed functions from expressions or for wrapping calls to other | |
1141 functions to adapt them for use by functions like @code{quad}. For | |
1142 example, | |
1143 | |
1144 @example | |
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1145 @group |
6554 | 1146 f = @@(x) x.^2; |
1147 quad (f, 0, 10) | |
6570 | 1148 @result{} 333.33 |
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1149 @end group |
6554 | 1150 @end example |
1151 | |
1152 @noindent | |
1153 creates a simple unnamed function from the expression @code{x.^2} and | |
1154 passes it to @code{quad}, | |
1155 | |
1156 @example | |
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1157 @group |
6554 | 1158 quad (@@(x) sin (x), 0, pi) |
6933 | 1159 @result{} 2 |
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1160 @end group |
6554 | 1161 @end example |
1162 | |
1163 @noindent | |
1164 wraps another function, and | |
1165 | |
1166 @example | |
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1167 @group |
6554 | 1168 a = 1; |
1169 b = 2; | |
1170 quad (@@(x) betainc (x, a, b), 0, 0.4) | |
6929 | 1171 @result{} 0.13867 |
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1172 @end group |
6554 | 1173 @end example |
1174 | |
1175 @noindent | |
1176 adapts a function with several parameters to the form required by | |
1177 @code{quad}. In this example, the values of @var{a} and @var{b} that | |
1178 are passed to @code{betainc} are inherited from the current | |
1179 environment. | |
1180 | |
4933 | 1181 @node Inline Functions |
1182 @subsection Inline Functions | |
1183 | |
6638 | 1184 An inline function is created from a string containing the function |
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1185 body using the @code{inline} function. The following code defines the |
6638 | 1186 function @math{f(x) = x^2 + 2}. |
1187 | |
1188 @example | |
1189 f = inline("x^2 + 2"); | |
1190 @end example | |
1191 | |
1192 @noindent | |
1193 After this it is possible to evaluate @math{f} at any @math{x} by | |
1194 writing @code{f(x)}. | |
1195 | |
4933 | 1196 @DOCSTRING(inline) |
1197 | |
1198 @DOCSTRING(argnames) | |
1199 | |
1200 @DOCSTRING(formula) | |
1201 | |
1202 @DOCSTRING(vectorize) | |
1203 | |
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1204 @DOCSTRING(symvar) |
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1205 |
6549 | 1206 @node Commands |
1207 @section Commands | |
1208 | |
6638 | 1209 Commands are a special class of functions that only accept string |
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1210 input arguments. A command can be called as an ordinary function, but |
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1211 it can also be called without the parentheses. For example, |
6638 | 1212 |
1213 @example | |
1214 my_command hello world | |
1215 @end example | |
1216 | |
1217 @noindent | |
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1218 is equivalent to |
6638 | 1219 |
1220 @example | |
1221 my_command("hello", "world") | |
1222 @end example | |
1223 | |
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1224 @noindent |
6638 | 1225 The general form of a command call is |
1226 | |
1227 @example | |
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1228 @var{cmdname} @var{arg1} @var{arg2} @dots{} |
6638 | 1229 @end example |
1230 | |
1231 @noindent | |
1232 which translates directly to | |
1233 | |
1234 @example | |
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1235 @var{cmdname} ("@var{arg1}", "@var{arg2}", @dots{}) |
6638 | 1236 @end example |
1237 | |
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1238 Any regular function can be used as a command if it accepts string input |
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1239 arguments. For example: |
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1240 |
6638 | 1241 @example |
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1242 @group |
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1243 toupper lower_case_arg |
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1244 @result{} ans = LOWER_CASE_ARG |
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1245 @end group |
6638 | 1246 @end example |
1247 | |
1248 One difficulty of commands occurs when one of the string input arguments | |
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1249 is stored in a variable. Because Octave can't tell the difference between |
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1250 a variable name and an ordinary string, it is not possible to pass a |
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1251 variable as input to a command. In such a situation a command must be |
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1252 called as a function. For example: |
6549 | 1253 |
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1254 @example |
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1255 @group |
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1256 strvar = "hello world"; |
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1257 toupper strvar |
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1258 @result{} ans = STRVAR |
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1259 toupper (strvar) |
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1260 @result{} ans = HELLO WORLD |
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1261 @end group |
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1262 @end example |
6549 | 1263 |
1264 | |
4167 | 1265 @node Organization of Functions |
3294 | 1266 @section Organization of Functions Distributed with Octave |
1267 | |
1268 Many of Octave's standard functions are distributed as function files. | |
1269 They are loosely organized by topic, in subdirectories of | |
1270 @file{@var{octave-home}/lib/octave/@var{version}/m}, to make it easier | |
1271 to find them. | |
1272 | |
1273 The following is a list of all the function file subdirectories, and the | |
1274 types of functions you will find there. | |
1275 | |
1276 @table @file | |
1277 @item audio | |
1278 Functions for playing and recording sounds. | |
1279 | |
1280 @item control | |
1281 Functions for design and simulation of automatic control systems. | |
1282 | |
1283 @item elfun | |
1284 Elementary functions. | |
1285 | |
6554 | 1286 @item finance |
1287 Functions for computing interest payments, investment values, and rates | |
1288 of return. | |
1289 | |
3294 | 1290 @item general |
1291 Miscellaneous matrix manipulations, like @code{flipud}, @code{rot90}, | |
1292 and @code{triu}, as well as other basic functions, like | |
4029 | 1293 @code{ismatrix}, @code{nargchk}, etc. |
3294 | 1294 |
1295 @item image | |
1296 Image processing tools. These functions require the X Window System. | |
1297 | |
1298 @item io | |
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1299 Input-output functions. |
3294 | 1300 |
1301 @item linear-algebra | |
1302 Functions for linear algebra. | |
1303 | |
1304 @item miscellaneous | |
1305 Functions that don't really belong anywhere else. | |
1306 | |
6554 | 1307 @item optimization |
1308 Minimization of functions. | |
1309 | |
1310 @item path | |
1311 Functions to manage the directory path Octave uses to find functions. | |
1312 | |
1313 @item pkg | |
1314 Install external packages of functions in Octave. | |
1315 | |
3294 | 1316 @item plot |
6556 | 1317 Functions for displaying and printing two- and three-dimensional graphs. |
3294 | 1318 |
1319 @item polynomial | |
1320 Functions for manipulating polynomials. | |
1321 | |
1322 @item set | |
1323 Functions for creating and manipulating sets of unique values. | |
1324 | |
1325 @item signal | |
1326 Functions for signal processing applications. | |
1327 | |
6554 | 1328 @item sparse |
1329 Functions for handling sparse matrices. | |
1330 | |
3294 | 1331 @item specfun |
1332 Special functions. | |
1333 | |
1334 @item special-matrix | |
1335 Functions that create special matrix forms. | |
1336 | |
1337 @item startup | |
1338 Octave's system-wide startup file. | |
1339 | |
1340 @item statistics | |
1341 Statistical functions. | |
1342 | |
1343 @item strings | |
1344 Miscellaneous string-handling functions. | |
1345 | |
6554 | 1346 @item testfun |
1347 Perform unit tests on other functions. | |
1348 | |
3294 | 1349 @item time |
1350 Functions related to time keeping. | |
1351 @end table |