Mercurial > hg > octave-nkf
annotate doc/interpreter/func.txi @ 8828:8463d1a2e544
Doc fixes.
* 2]$$. => 2].$$
* @var{extrapval} => @var{extrapval}.
* call helloworld.oct => called @file{helloworld.oct}
* @itemize => @table @code
* shows. => shows:
* save => @code{save}
* @ref{Breakpoints} => @pxref{Breakpoints}
* add @noindent following example
* which is computed => and compute it
* clarify wording
* remove comma
* good => well
* set => number
* by writing => with the command
* has the option of directly calling => can call
* [-like-] {+of the right size,+}
* solvers => routines
* handle => test for
* add introductory section
* add following
* {+the+} [0..bitmax] => [0,bitmax]
* of the => with
* number => value
* add usual
* Besides when doing comparisons, logical => Logical {+also+}
* array comparison => array, comparisons
* param => parameter
* works very similar => is similar
* strings, => strings
* most simple => simplest
* easier => more easily
* like => as
* called => called,
* clarify wording
* you should simply type => use
* clarify wording
* means => way
* equally => also
* [-way much-] {+way+}
* add with mean value parameter given by the first argument, @var{l}
* add Functions described as @dfn{mapping functions} apply the given
operation to each element when given a matrix argument.
* in this brief introduction => here
* It is worth noticing => Note
* add following
* means => ways
author | Brian Gough <bjg@network-theory.co.uk> |
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date | Fri, 20 Feb 2009 11:17:01 -0500 |
parents | 03b7f618ab3d |
children | eb63fbe60fab |
rev | line source |
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6778 | 1 @c Copyright (C) 1996, 1997, 2007 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 |
3294 | 20 @chapter Functions and Script Files |
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:: | |
35 * Variable-length Return Lists:: | |
36 * Returning From a Function:: | |
6510 | 37 * Default Arguments:: |
3294 | 38 * Function Files:: |
39 * Script Files:: | |
6638 | 40 * Function Handles Inline Functions and Anonymous Functions:: |
6549 | 41 * Commands:: |
3294 | 42 * Organization of Functions:: |
43 @end menu | |
44 | |
4167 | 45 @node Defining Functions |
3294 | 46 @section Defining Functions |
47 @cindex @code{function} statement | |
48 @cindex @code{endfunction} statement | |
49 | |
50 In its simplest form, the definition of a function named @var{name} | |
51 looks like this: | |
52 | |
53 @example | |
54 @group | |
55 function @var{name} | |
56 @var{body} | |
57 endfunction | |
58 @end group | |
59 @end example | |
60 | |
61 @noindent | |
62 A valid function name is like a valid variable name: a sequence of | |
63 letters, digits and underscores, not starting with a digit. Functions | |
64 share the same pool of names as variables. | |
65 | |
66 The function @var{body} consists of Octave statements. It is the | |
67 most important part of the definition, because it says what the function | |
68 should actually @emph{do}. | |
69 | |
70 For example, here is a function that, when executed, will ring the bell | |
71 on your terminal (assuming that it is possible to do so): | |
72 | |
73 @example | |
74 @group | |
75 function wakeup | |
76 printf ("\a"); | |
77 endfunction | |
78 @end group | |
79 @end example | |
80 | |
81 The @code{printf} statement (@pxref{Input and Output}) simply tells | |
82 Octave to print the string @code{"\a"}. The special character @samp{\a} | |
83 stands for the alert character (ASCII 7). @xref{Strings}. | |
84 | |
85 Once this function is defined, you can ask Octave to evaluate it by | |
86 typing the name of the function. | |
87 | |
88 Normally, you will want to pass some information to the functions you | |
89 define. The syntax for passing parameters to a function in Octave is | |
90 | |
91 @example | |
92 @group | |
93 function @var{name} (@var{arg-list}) | |
94 @var{body} | |
95 endfunction | |
96 @end group | |
97 @end example | |
98 | |
99 @noindent | |
100 where @var{arg-list} is a comma-separated list of the function's | |
101 arguments. When the function is called, the argument names are used to | |
102 hold the argument values given in the call. The list of arguments may | |
103 be empty, in which case this form is equivalent to the one shown above. | |
104 | |
105 To print a message along with ringing the bell, you might modify the | |
6510 | 106 @code{wakeup} to look like this: |
3294 | 107 |
108 @example | |
109 @group | |
110 function wakeup (message) | |
111 printf ("\a%s\n", message); | |
112 endfunction | |
113 @end group | |
114 @end example | |
115 | |
116 Calling this function using a statement like this | |
117 | |
118 @example | |
119 wakeup ("Rise and shine!"); | |
120 @end example | |
121 | |
122 @noindent | |
123 will cause Octave to ring your terminal's bell and print the message | |
124 @samp{Rise and shine!}, followed by a newline character (the @samp{\n} | |
125 in the first argument to the @code{printf} statement). | |
126 | |
127 In most cases, you will also want to get some information back from the | |
128 functions you define. Here is the syntax for writing a function that | |
129 returns a single value: | |
130 | |
131 @example | |
132 @group | |
133 function @var{ret-var} = @var{name} (@var{arg-list}) | |
134 @var{body} | |
135 endfunction | |
136 @end group | |
137 @end example | |
138 | |
139 @noindent | |
140 The symbol @var{ret-var} is the name of the variable that will hold the | |
141 value to be returned by the function. This variable must be defined | |
142 before the end of the function body in order for the function to return | |
143 a value. | |
144 | |
145 Variables used in the body of a function are local to the | |
146 function. Variables named in @var{arg-list} and @var{ret-var} are also | |
147 local to the function. @xref{Global Variables}, for information about | |
148 how to access global variables inside a function. | |
149 | |
150 For example, here is a function that computes the average of the | |
151 elements of a vector: | |
152 | |
153 @example | |
154 @group | |
155 function retval = avg (v) | |
156 retval = sum (v) / length (v); | |
157 endfunction | |
158 @end group | |
159 @end example | |
160 | |
161 If we had written @code{avg} like this instead, | |
162 | |
163 @example | |
164 @group | |
165 function retval = avg (v) | |
4029 | 166 if (isvector (v)) |
3294 | 167 retval = sum (v) / length (v); |
168 endif | |
169 endfunction | |
170 @end group | |
171 @end example | |
172 | |
173 @noindent | |
174 and then called the function with a matrix instead of a vector as the | |
175 argument, Octave would have printed an error message like this: | |
176 | |
177 @example | |
178 @group | |
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179 error: value on right hand side of assignment is undefined |
3294 | 180 @end group |
181 @end example | |
182 | |
183 @noindent | |
184 because the body of the @code{if} statement was never executed, and | |
185 @code{retval} was never defined. To prevent obscure errors like this, | |
186 it is a good idea to always make sure that the return variables will | |
187 always have values, and to produce meaningful error messages when | |
188 problems are encountered. For example, @code{avg} could have been | |
189 written like this: | |
190 | |
191 @example | |
192 @group | |
193 function retval = avg (v) | |
194 retval = 0; | |
4029 | 195 if (isvector (v)) |
3294 | 196 retval = sum (v) / length (v); |
197 else | |
198 error ("avg: expecting vector argument"); | |
199 endif | |
200 endfunction | |
201 @end group | |
202 @end example | |
203 | |
204 There is still one additional problem with this function. What if it is | |
205 called without an argument? Without additional error checking, Octave | |
206 will probably print an error message that won't really help you track | |
207 down the source of the error. To allow you to catch errors like this, | |
208 Octave provides each function with an automatic variable called | |
209 @code{nargin}. Each time a function is called, @code{nargin} is | |
210 automatically initialized to the number of arguments that have actually | |
211 been passed to the function. For example, we might rewrite the | |
212 @code{avg} function like this: | |
213 | |
214 @example | |
215 @group | |
216 function retval = avg (v) | |
217 retval = 0; | |
218 if (nargin != 1) | |
219 usage ("avg (vector)"); | |
220 endif | |
4029 | 221 if (isvector (v)) |
3294 | 222 retval = sum (v) / length (v); |
223 else | |
224 error ("avg: expecting vector argument"); | |
225 endif | |
226 endfunction | |
227 @end group | |
228 @end example | |
229 | |
230 Although Octave does not automatically report an error if you call a | |
231 function with more arguments than expected, doing so probably indicates | |
232 that something is wrong. Octave also does not automatically report an | |
233 error if a function is called with too few arguments, but any attempt to | |
234 use a variable that has not been given a value will result in an error. | |
235 To avoid such problems and to provide useful messages, we check for both | |
236 possibilities and issue our own error message. | |
237 | |
4700 | 238 @DOCSTRING(nargin) |
3294 | 239 |
6558 | 240 @DOCSTRING(inputname) |
241 | |
3371 | 242 @DOCSTRING(silent_functions) |
3294 | 243 |
4167 | 244 @node Multiple Return Values |
3294 | 245 @section Multiple Return Values |
246 | |
247 Unlike many other computer languages, Octave allows you to define | |
248 functions that return more than one value. The syntax for defining | |
249 functions that return multiple values is | |
250 | |
251 @example | |
252 function [@var{ret-list}] = @var{name} (@var{arg-list}) | |
253 @var{body} | |
254 endfunction | |
255 @end example | |
256 | |
257 @noindent | |
258 where @var{name}, @var{arg-list}, and @var{body} have the same meaning | |
259 as before, and @var{ret-list} is a comma-separated list of variable | |
260 names that will hold the values returned from the function. The list of | |
261 return values must have at least one element. If @var{ret-list} has | |
262 only one element, this form of the @code{function} statement is | |
263 equivalent to the form described in the previous section. | |
264 | |
265 Here is an example of a function that returns two values, the maximum | |
266 element of a vector and the index of its first occurrence in the vector. | |
267 | |
268 @example | |
269 @group | |
270 function [max, idx] = vmax (v) | |
271 idx = 1; | |
272 max = v (idx); | |
273 for i = 2:length (v) | |
274 if (v (i) > max) | |
275 max = v (i); | |
276 idx = i; | |
277 endif | |
278 endfor | |
279 endfunction | |
280 @end group | |
281 @end example | |
282 | |
283 In this particular case, the two values could have been returned as | |
284 elements of a single array, but that is not always possible or | |
285 convenient. The values to be returned may not have compatible | |
286 dimensions, and it is often desirable to give the individual return | |
287 values distinct names. | |
288 | |
289 In addition to setting @code{nargin} each time a function is called, | |
290 Octave also automatically initializes @code{nargout} to the number of | |
291 values that are expected to be returned. This allows you to write | |
292 functions that behave differently depending on the number of values that | |
293 the user of the function has requested. The implicit assignment to the | |
294 built-in variable @code{ans} does not figure in the count of output | |
295 arguments, so the value of @code{nargout} may be zero. | |
296 | |
297 The @code{svd} and @code{lu} functions are examples of built-in | |
298 functions that behave differently depending on the value of | |
299 @code{nargout}. | |
300 | |
301 It is possible to write functions that only set some return values. For | |
302 example, calling the function | |
303 | |
304 @example | |
305 function [x, y, z] = f () | |
306 x = 1; | |
307 z = 2; | |
308 endfunction | |
309 @end example | |
310 | |
311 @noindent | |
312 as | |
313 | |
314 @example | |
315 [a, b, c] = f () | |
316 @end example | |
317 | |
318 @noindent | |
319 produces: | |
320 | |
321 @example | |
322 a = 1 | |
323 | |
324 b = [](0x0) | |
325 | |
326 c = 2 | |
327 @end example | |
328 | |
329 @noindent | |
6501 | 330 along with a warning. |
3294 | 331 |
4700 | 332 @DOCSTRING(nargout) |
3294 | 333 |
3371 | 334 @DOCSTRING(nargchk) |
3294 | 335 |
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336 @DOCSTRING(nargoutchk) |
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337 |
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338 @anchor{doc-varargin} @anchor{doc-varargout} |
4167 | 339 @node Variable-length Argument Lists |
3294 | 340 @section Variable-length Argument Lists |
4933 | 341 @cindex variable-length argument lists |
8567 | 342 @cindex @code{varargin} |
8072 | 343 |
6510 | 344 Sometimes the number of input arguments is not known when the function |
345 is defined. As an example think of a function that returns the smallest | |
346 of all its input arguments. For example, | |
347 | |
348 @example | |
349 a = smallest (1, 2, 3); | |
350 b = smallest (1, 2, 3, 4); | |
351 @end example | |
352 | |
353 @noindent | |
354 In this example both @code{a} and @code{b} would be 1. One way to write | |
355 the @code{smallest} function is | |
356 | |
357 @example | |
358 function val = smallest (arg1, arg2, arg3, arg4, arg5) | |
359 @var{body} | |
360 endfunction | |
361 @end example | |
362 | |
363 @noindent | |
364 and then use the value of @code{nargin} to determine which of the input | |
365 arguments should be considered. The problem with this approach is | |
366 that it can only handle a limited number of input arguments. | |
367 | |
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368 If the special parameter name @code{varargin} appears at the end of a |
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369 function parameter list it indicates that the function takes a variable |
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370 number of input arguments. Using @code{varargin} the function |
6510 | 371 looks like this |
372 | |
373 @example | |
374 function val = smallest (varargin) | |
375 @var{body} | |
376 endfunction | |
377 @end example | |
378 | |
379 @noindent | |
380 In the function body the input arguments can be accessed through the | |
381 variable @code{varargin}. This variable is a cell array containing | |
382 all the input arguments. @xref{Cell Arrays}, for details on working | |
383 with cell arrays. The @code{smallest} function can now be defined | |
384 like this | |
385 | |
386 @example | |
387 function val = smallest (varargin) | |
388 val = min ([varargin@{:@}]); | |
389 endfunction | |
390 @end example | |
391 | |
392 @noindent | |
393 This implementation handles any number of input arguments, but it's also | |
394 a very simple solution to the problem. | |
395 | |
396 A slightly more complex example of @code{varargin} is a function | |
397 @code{print_arguments} that prints all input arguments. Such a function | |
398 can be defined like this | |
399 | |
400 @example | |
401 function print_arguments (varargin) | |
402 for i = 1:length (varargin) | |
403 printf ("Input argument %d: ", i); | |
404 disp (varargin@{i@}); | |
405 endfor | |
406 endfunction | |
407 @end example | |
408 | |
409 @noindent | |
410 This function produces output like this | |
411 | |
412 @example | |
413 @group | |
414 print_arguments (1, "two", 3); | |
415 @print{} Input argument 1: 1 | |
416 @print{} Input argument 2: two | |
417 @print{} Input argument 3: 3 | |
418 @end group | |
419 @end example | |
3294 | 420 |
6558 | 421 @DOCSTRING(parseparams) |
422 | |
4167 | 423 @node Variable-length Return Lists |
3294 | 424 @section Variable-length Return Lists |
4933 | 425 @cindex variable-length return lists |
8567 | 426 @cindex @code{varargout} |
8072 | 427 |
6510 | 428 It is possible to return a variable number of output arguments from a |
429 function using a syntax that's similar to the one used with the | |
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430 special @code{varargin} parameter name. To let a function return a |
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431 variable number of output arguments the special output parameter name |
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432 @code{varargout} is used. As with @code{varargin}, @code{varargout} is |
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433 a cell array that will contain the requested output arguments. |
6510 | 434 |
435 As an example the following function sets the first output argument to | |
436 1, the second to 2, and so on. | |
437 | |
438 @example | |
439 function varargout = one_to_n () | |
440 for i = 1:nargout | |
441 varargout@{i@} = i; | |
442 endfor | |
443 endfunction | |
444 @end example | |
445 | |
446 @noindent | |
447 When called this function returns values like this | |
448 | |
449 @example | |
450 @group | |
451 [a, b, c] = one_to_n () | |
452 @result{} a = 1 | |
453 @result{} b = 2 | |
454 @result{} c = 3 | |
455 @end group | |
456 @end example | |
3294 | 457 |
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458 If @code{varargin} (@code{varargout}) does not appear as the last |
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459 element of the input (output) parameter list, then it is not special, |
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460 and is handled the same as any other parameter name. |
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461 |
6558 | 462 @DOCSTRING(deal) |
463 | |
4167 | 464 @node Returning From a Function |
3294 | 465 @section Returning From a Function |
466 | |
467 The body of a user-defined function can contain a @code{return} statement. | |
468 This statement returns control to the rest of the Octave program. It | |
469 looks like this: | |
470 | |
471 @example | |
472 return | |
473 @end example | |
474 | |
475 Unlike the @code{return} statement in C, Octave's @code{return} | |
476 statement cannot be used to return a value from a function. Instead, | |
477 you must assign values to the list of return variables that are part of | |
478 the @code{function} statement. The @code{return} statement simply makes | |
479 it easier to exit a function from a deeply nested loop or conditional | |
480 statement. | |
481 | |
482 Here is an example of a function that checks to see if any elements of a | |
483 vector are nonzero. | |
484 | |
485 @example | |
486 @group | |
487 function retval = any_nonzero (v) | |
488 retval = 0; | |
489 for i = 1:length (v) | |
490 if (v (i) != 0) | |
491 retval = 1; | |
492 return; | |
493 endif | |
494 endfor | |
495 printf ("no nonzero elements found\n"); | |
496 endfunction | |
497 @end group | |
498 @end example | |
499 | |
500 Note that this function could not have been written using the | |
501 @code{break} statement to exit the loop once a nonzero value is found | |
502 without adding extra logic to avoid printing the message if the vector | |
503 does contain a nonzero element. | |
504 | |
5763 | 505 @deffn {Keyword} return |
3294 | 506 When Octave encounters the keyword @code{return} inside a function or |
5016 | 507 script, it returns control to the caller immediately. At the top level, |
3294 | 508 the return statement is ignored. A @code{return} statement is assumed |
509 at the end of every function definition. | |
5763 | 510 @end deffn |
3294 | 511 |
6510 | 512 @node Default Arguments |
513 @section Default Arguments | |
514 @cindex default arguments | |
515 | |
516 Since Octave supports variable number of input arguments, it is very useful | |
517 to assign default values to some input arguments. When an input argument | |
518 is declared in the argument list it is possible to assign a default | |
519 value to the argument like this | |
520 | |
521 @example | |
522 function @var{name} (@var{arg1} = @var{val1}, @dots{}) | |
523 @var{body} | |
524 endfunction | |
525 @end example | |
526 | |
527 @noindent | |
528 If no value is assigned to @var{arg1} by the user, it will have the | |
529 value @var{val1}. | |
530 | |
531 As an example, the following function implements a variant of the classic | |
532 ``Hello, World'' program. | |
533 @example | |
534 function hello (who = "World") | |
535 printf ("Hello, %s!\n", who); | |
536 endfunction | |
537 @end example | |
538 | |
539 @noindent | |
540 When called without an input argument the function prints the following | |
541 @example | |
542 @group | |
543 hello (); | |
544 @print{} Hello, World! | |
545 @end group | |
546 @end example | |
547 | |
548 @noindent | |
549 and when it's called with an input argument it prints the following | |
550 @example | |
551 @group | |
552 hello ("Beautiful World of Free Software"); | |
553 @print{} Hello, Beautiful World of Free Software! | |
554 @end group | |
555 @end example | |
556 | |
557 Sometimes it is useful to explicitly tell Octave to use the default value | |
558 of an input argument. This can be done writing a @samp{:} as the value | |
559 of the input argument when calling the function. | |
560 @example | |
561 @group | |
562 hello (:); | |
563 @print{} Hello, World! | |
564 @end group | |
565 @end example | |
566 | |
4167 | 567 @node Function Files |
3294 | 568 @section Function Files |
569 @cindex function file | |
570 | |
571 Except for simple one-shot programs, it is not practical to have to | |
572 define all the functions you need each time you need them. Instead, you | |
573 will normally want to save them in a file so that you can easily edit | |
574 them, and save them for use at a later time. | |
575 | |
576 Octave does not require you to load function definitions from files | |
577 before using them. You simply need to put the function definitions in a | |
578 place where Octave can find them. | |
579 | |
580 When Octave encounters an identifier that is undefined, it first looks | |
581 for variables or functions that are already compiled and currently | |
582 listed in its symbol table. If it fails to find a definition there, it | |
6556 | 583 searches a list of directories (the @dfn{path}) for files ending in |
6554 | 584 @file{.m} that have the same base name as the undefined |
585 identifier.@footnote{The @samp{.m} suffix was chosen for compatibility | |
586 with @sc{Matlab}.} Once Octave finds a file with a name that matches, | |
587 the contents of the file are read. If it defines a @emph{single} | |
588 function, it is compiled and executed. @xref{Script Files}, for more | |
589 information about how you can define more than one function in a single | |
590 file. | |
3294 | 591 |
592 When Octave defines a function from a function file, it saves the full | |
6554 | 593 name of the file it read and the time stamp on the file. If the time |
594 stamp on the file changes, Octave may reload the file. When Octave is | |
595 running interactively, time stamp checking normally happens at most once | |
596 each time Octave prints the prompt. Searching for new function | |
597 definitions also occurs if the current working directory changes. | |
3294 | 598 |
599 Checking the time stamp allows you to edit the definition of a function | |
600 while Octave is running, and automatically use the new function | |
6554 | 601 definition without having to restart your Octave session. |
3294 | 602 |
603 To avoid degrading performance unnecessarily by checking the time stamps | |
604 on functions that are not likely to change, Octave assumes that function | |
605 files in the directory tree | |
606 @file{@var{octave-home}/share/octave/@var{version}/m} | |
607 will not change, so it doesn't have to check their time stamps every time the | |
608 functions defined in those files are used. This is normally a very good | |
609 assumption and provides a significant improvement in performance for the | |
610 function files that are distributed with Octave. | |
611 | |
612 If you know that your own function files will not change while you are | |
6554 | 613 running Octave, you can improve performance by calling |
614 @code{ignore_function_time_stamp ("all")}, so that Octave will | |
615 ignore the time stamps for all function files. Passing | |
616 @code{"system"} to this function resets the default behavior. | |
3294 | 617 |
5775 | 618 @c FIXME -- note about time stamps on files in NFS environments? |
3294 | 619 |
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620 @DOCSTRING(edit) |
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621 |
6549 | 622 @DOCSTRING(mfilename) |
623 | |
6638 | 624 @DOCSTRING(ignore_function_time_stamp) |
625 | |
626 @menu | |
627 * Manipulating the load path:: | |
628 * Subfunctions:: | |
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629 * Private Functions:: |
6638 | 630 * Overloading and Autoloading:: |
631 * Function Locking:: | |
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632 * Function Precedence:: |
6638 | 633 @end menu |
634 | |
635 @node Manipulating the load path | |
636 @subsection Manipulating the load path | |
637 | |
8828 | 638 When a function is called, Octave searches a list of directories for |
6638 | 639 a file that contains the function declaration. This list of directories |
640 is known as the load path. By default the load path contains | |
641 a list of directories distributed with Octave plus the current | |
642 working directory. To see your current load path call the @code{path} | |
643 function without any input or output arguments. | |
644 | |
645 It is possible to add or remove directories to or from the load path | |
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646 using @code{addpath} and @code{rmpath}. As an example, the following |
6638 | 647 code adds @samp{~/Octave} to the load path. |
648 | |
649 @example | |
650 addpath("~/Octave") | |
651 @end example | |
652 | |
653 @noindent | |
654 After this the directory @samp{~/Octave} will be searched for functions. | |
655 | |
6502 | 656 @DOCSTRING(addpath) |
657 | |
658 @DOCSTRING(genpath) | |
659 | |
660 @DOCSTRING(rmpath) | |
661 | |
662 @DOCSTRING(savepath) | |
663 | |
6477 | 664 @DOCSTRING(path) |
3294 | 665 |
6502 | 666 @DOCSTRING(pathdef) |
667 | |
668 @DOCSTRING(pathsep) | |
669 | |
3428 | 670 @DOCSTRING(rehash) |
671 | |
672 @DOCSTRING(file_in_loadpath) | |
673 | |
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674 @DOCSTRING(restoredefaultpath) |
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675 |
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676 @DOCSTRING(command_line_path) |
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677 |
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678 @DOCSTRING(find_dir_in_path) |
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679 |
6556 | 680 @node Subfunctions |
681 @subsection Subfunctions | |
682 | |
683 A function file may contain secondary functions called | |
684 @dfn{subfunctions}. These secondary functions are only visible to the | |
685 other functions in the same function file. For example, a file | |
686 @file{f.m} containing | |
687 | |
688 @example | |
689 @group | |
690 function f () | |
691 printf ("in f, calling g\n"); | |
692 g () | |
693 endfunction | |
694 function g () | |
695 printf ("in g, calling h\n"); | |
6638 | 696 h () |
6556 | 697 endfunction |
698 function h () | |
699 printf ("in h\n") | |
700 endfunction | |
701 @end group | |
702 @end example | |
703 | |
704 @noindent | |
705 defines a main function @code{f} and two subfunctions. The | |
706 subfunctions @code{g} and @code{h} may only be called from the main | |
707 function @code{f} or from the other subfunctions, but not from outside | |
708 the file @file{f.m}. | |
709 | |
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710 @node Private Functions |
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711 @subsection Private Functions |
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712 |
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713 In many cases one function needs to access one or more helper |
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714 functions. If the helper function is limited to the scope of a single |
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715 function, then subfunctions as discussed above might be used. However, |
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716 if a single helper function is used by more than one function, then |
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717 this is no longer possible. In this case the helper functions might |
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718 be placed in a subdirectory, called "private", of the directory in which |
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719 the functions needing access to this helper function are found. |
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720 |
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721 As a simple example, consider a function @code{func1}, that calls a helper |
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722 function @code{func2} to do much of the work. For example |
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723 |
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724 @example |
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725 @group |
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726 function y = func1 (x) |
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727 y = func2 (x); |
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728 endfunction |
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729 @end group |
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730 @end example |
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731 |
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732 @noindent |
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733 Then if the path to @code{func1} is @code{<directory>/func1.m}, and if |
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734 @code{func2} is found in the directory @code{<directory>/private/func2.m}, |
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735 then @code{func2} is only available for use of the functions, like |
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736 @code{func1}, that are found in @code{<directory>}. |
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737 |
6635 | 738 @node Overloading and Autoloading |
739 @subsection Overloading and Autoloading | |
740 | |
741 The @code{dispatch} function can be used to alias one function name to | |
742 another. It can be used to alias all calls to a particular function name | |
743 to another function, or the alias can be limited to only a particular | |
744 variable type. Consider the example | |
745 | |
746 @example | |
747 @group | |
748 function y = spsin (x) | |
749 printf ("Calling spsin\n"); | |
750 fflush(stdout); | |
751 y = spfun ("sin", x); | |
752 endfunction | |
753 | |
754 dispatch ("sin", "spsin", "sparse matrix"); | |
755 y0 = sin(eye(3)); | |
756 y1 = sin(speye(3)); | |
757 @end group | |
758 @end example | |
759 | |
760 @noindent | |
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761 which aliases the user-defined function @code{spsin} to @code{sin}, but only for real sparse |
6635 | 762 matrices. Note that the builtin @code{sin} already correctly treats |
763 sparse matrices and so this example is only illustrative. | |
764 | |
765 @DOCSTRING(dispatch) | |
766 | |
767 @DOCSTRING(builtin) | |
768 | |
769 A single dynamically linked file might define several | |
770 functions. However, as Octave searches for functions based on the | |
771 functions filename, Octave needs a manner in which to find each of the | |
772 functions in the dynamically linked file. On operating systems that | |
773 support symbolic links, it is possible to create a symbolic link to the | |
774 original file for each of the functions which it contains. | |
775 | |
776 However, there is at least one well known operating system that doesn't | |
777 support symbolic links. Making copies of the original file for each of | |
8828 | 778 the functions is undesirable as it increases the |
6635 | 779 amount of disk space used by Octave. Instead Octave supplies the |
780 @code{autoload} function, that permits the user to define in which | |
781 file a certain function will be found. | |
782 | |
783 @DOCSTRING(autoload) | |
784 | |
785 @node Function Locking | |
786 @subsection Function Locking | |
787 | |
788 It is sometime desirable to lock a function into memory with the | |
789 @code{mlock} function. This is typically used for dynamically linked | |
6899 | 790 functions in Oct-files or mex-files that contain some initialization, |
791 and it is desirable that calling @code{clear} does not remove this | |
6635 | 792 initialization. |
793 | |
6899 | 794 As an example, |
795 | |
796 @example | |
797 mlock ("my_function"); | |
798 @end example | |
799 | |
800 @noindent | |
801 prevents @code{my_function} from being removed from memory, even if | |
802 @code{clear} is called. It is possible to determine if a function is | |
803 locked into memory with the @code{mislocked}, and to unlock a function | |
804 with @code{munlock}, which the following illustrates. | |
805 | |
806 @example | |
807 @group | |
808 mlock ("my_function"); | |
809 mislocked ("my_function") | |
810 @result{} ans = 1 | |
811 munlock ("my_function"); | |
812 mislocked ("my_function") | |
813 @result{} ans = 0 | |
814 @end group | |
815 @end example | |
816 | |
817 A common use of @code{mlock} is to prevent persistent variables from | |
8828 | 818 being removed from memory, as the following example shows: |
6899 | 819 |
820 @example | |
821 @group | |
822 function count_calls() | |
823 persistent calls = 0; | |
7031 | 824 printf ("'count_calls' has been called %d times\n", |
825 ++calls); | |
6899 | 826 endfunction |
827 mlock ("count_calls"); | |
828 | |
829 count_calls (); | |
830 @print{} 'count_calls' has been called 1 times | |
831 | |
832 clear count_calls | |
833 count_calls (); | |
834 @print{} 'count_calls' has been called 2 times | |
835 @end group | |
836 @end example | |
837 | |
838 @noindent | |
839 It is, however, often inconvenient to lock a function from the prompt, | |
840 so it is also possible to lock a function from within its body. This | |
841 is simply done by calling @code{mlock} from within the function. | |
842 | |
843 @example | |
844 @group | |
845 function count_calls () | |
846 mlock (); | |
847 persistent calls = 0; | |
7031 | 848 printf ("'count_calls' has been called %d times\n", |
849 ++calls); | |
6899 | 850 endfunction |
851 @end group | |
852 @end example | |
853 | |
854 @code{mlock} might equally be used to prevent changes to a function from having | |
6635 | 855 effect in Octave, though a similar effect can be had with the |
856 @code{ignore_function_time_stamp} function. | |
857 | |
858 @DOCSTRING(mlock) | |
859 | |
860 @DOCSTRING(munlock) | |
861 | |
862 @DOCSTRING(mislocked) | |
863 | |
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864 @node Function Precedence |
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865 @subsection Function Precedence |
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866 |
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867 Given the numereous different ways that Octave can define a function, it |
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868 is possible and even likely that multiple versions of a function, might be |
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869 defined within a particular scope. The precedence of which function will be |
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870 used within a particular scope is given by |
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871 |
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872 @enumerate 1 |
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873 @item Subfunction |
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874 A subfunction with the required function name in the given scope. |
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875 |
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876 @item Private function |
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877 A function defined within a private directory of the directory |
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878 which contains the current function. |
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879 |
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880 @item Class constructor |
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881 A function that constuctors a user class as defined in chapter |
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882 @ref{Object Oriented Programming}. |
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883 |
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884 @item Class method |
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885 An overloaded function of a class as in chapter |
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886 @ref{Object Oriented Programming}. |
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887 |
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888 @item Legacy Dispatch |
8235 | 889 An overloaded function as defined by @xref{doc-dispatch}. |
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890 |
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891 @item Command-line Function |
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892 A function that has been defined on the command-line. |
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893 |
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894 @item Autoload function |
8235 | 895 A function that is marked as autoloaded with @xref{doc-autoload}. |
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896 |
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897 @item A Function on the Path |
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898 A function that can be found on the users load-path. There can also be |
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899 Oct-file, mex-file or m-file versions of this function and the precedence |
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900 between these versions are in that order. |
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901 |
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902 @item Built-in function |
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903 A function that is builtin to Octave itself such as @code{numel}, |
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904 @code{size}, etc. |
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905 @end enumerate |
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906 |
4167 | 907 @node Script Files |
3294 | 908 @section Script Files |
909 | |
910 A script file is a file containing (almost) any sequence of Octave | |
911 commands. It is read and evaluated just as if you had typed each | |
912 command at the Octave prompt, and provides a convenient way to perform a | |
913 sequence of commands that do not logically belong inside a function. | |
914 | |
915 Unlike a function file, a script file must @emph{not} begin with the | |
916 keyword @code{function}. If it does, Octave will assume that it is a | |
917 function file, and that it defines a single function that should be | |
918 evaluated as soon as it is defined. | |
919 | |
920 A script file also differs from a function file in that the variables | |
921 named in a script file are not local variables, but are in the same | |
922 scope as the other variables that are visible on the command line. | |
923 | |
924 Even though a script file may not begin with the @code{function} | |
925 keyword, it is possible to define more than one function in a single | |
926 script file and load (but not execute) all of them at once. To do | |
927 this, the first token in the file (ignoring comments and other white | |
928 space) must be something other than @code{function}. If you have no | |
929 other statements to evaluate, you can use a statement that has no | |
930 effect, like this: | |
931 | |
932 @example | |
933 @group | |
934 # Prevent Octave from thinking that this | |
935 # is a function file: | |
936 | |
937 1; | |
938 | |
939 # Define function one: | |
940 | |
941 function one () | |
942 ... | |
943 @end group | |
944 @end example | |
945 | |
946 To have Octave read and compile these functions into an internal form, | |
6638 | 947 you need to make sure that the file is in Octave's load path |
6477 | 948 (accessible through the @code{path} function), then simply type the |
949 base name of the file that contains the commands. (Octave uses the | |
950 same rules to search for script files as it does to search for | |
951 function files.) | |
3294 | 952 |
953 If the first token in a file (ignoring comments) is @code{function}, | |
954 Octave will compile the function and try to execute it, printing a | |
955 message warning about any non-whitespace characters that appear after | |
956 the function definition. | |
957 | |
958 Note that Octave does not try to look up the definition of any identifier | |
959 until it needs to evaluate it. This means that Octave will compile the | |
960 following statements if they appear in a script file, or are typed at | |
961 the command line, | |
962 | |
963 @example | |
964 @group | |
965 # not a function file: | |
966 1; | |
967 function foo () | |
968 do_something (); | |
969 endfunction | |
970 function do_something () | |
971 do_something_else (); | |
972 endfunction | |
973 @end group | |
974 @end example | |
975 | |
976 @noindent | |
977 even though the function @code{do_something} is not defined before it is | |
978 referenced in the function @code{foo}. This is not an error because | |
979 Octave does not need to resolve all symbols that are referenced by a | |
980 function until the function is actually evaluated. | |
981 | |
982 Since Octave doesn't look for definitions until they are needed, the | |
983 following code will always print @samp{bar = 3} whether it is typed | |
984 directly on the command line, read from a script file, or is part of a | |
985 function body, even if there is a function or script file called | |
6477 | 986 @file{bar.m} in Octave's path. |
3294 | 987 |
988 @example | |
989 @group | |
990 eval ("bar = 3"); | |
991 bar | |
992 @end group | |
993 @end example | |
994 | |
995 Code like this appearing within a function body could fool Octave if | |
996 definitions were resolved as the function was being compiled. It would | |
997 be virtually impossible to make Octave clever enough to evaluate this | |
998 code in a consistent fashion. The parser would have to be able to | |
999 perform the call to @code{eval} at compile time, and that would be | |
1000 impossible unless all the references in the string to be evaluated could | |
1001 also be resolved, and requiring that would be too restrictive (the | |
1002 string might come from user input, or depend on things that are not | |
1003 known until the function is evaluated). | |
1004 | |
1005 Although Octave normally executes commands from script files that have | |
1006 the name @file{@var{file}.m}, you can use the function @code{source} to | |
1007 execute commands from any file. | |
1008 | |
3371 | 1009 @DOCSTRING(source) |
3294 | 1010 |
6638 | 1011 @node Function Handles Inline Functions and Anonymous Functions |
1012 @section Function Handles, Inline Functions, and Anonymous Functions | |
4933 | 1013 @cindex handle, function handles |
1014 @cindex inline, inline functions | |
6638 | 1015 @cindex anonymous functions |
4933 | 1016 |
6638 | 1017 It can be very convenient store a function in a variable so that it |
1018 can be passed to a different function. For example, a function that | |
1019 performs numerical minimisation needs access to the function that | |
1020 should be minimised. | |
4933 | 1021 |
1022 @menu | |
1023 * Function Handles:: | |
6554 | 1024 * Anonymous Functions:: |
4933 | 1025 * Inline Functions:: |
1026 @end menu | |
1027 | |
1028 @node Function Handles | |
1029 @subsection Function Handles | |
1030 | |
6554 | 1031 A function handle is a pointer to another function and is defined with |
1032 the syntax | |
1033 | |
1034 @example | |
1035 @@@var{function-name} | |
1036 @end example | |
1037 | |
1038 @noindent | |
1039 For example | |
1040 | |
1041 @example | |
6556 | 1042 f = @@sin; |
6554 | 1043 @end example |
1044 | |
1045 @noindent | |
6570 | 1046 Creates a function handle called @code{f} that refers to the |
6554 | 1047 function @code{sin}. |
1048 | |
1049 Function handles are used to call other functions indirectly, or to pass | |
1050 a function as an argument to another function like @code{quad} or | |
1051 @code{fsolve}. For example | |
1052 | |
1053 @example | |
6556 | 1054 f = @@sin; |
6554 | 1055 quad (f, 0, pi) |
6929 | 1056 @result{} 2 |
6554 | 1057 @end example |
1058 | |
1059 You may use @code{feval} to call a function using function handle, or | |
6570 | 1060 simply write the name of the function handle followed by an argument |
6554 | 1061 list. If there are no arguments, you must use an empty argument list |
1062 @samp{()}. For example | |
1063 | |
1064 @example | |
6556 | 1065 f = @@sin; |
6554 | 1066 feval (f, pi/4) |
6570 | 1067 @result{} 0.70711 |
6554 | 1068 f (pi/4) |
6570 | 1069 @result{} 0.70711 |
6554 | 1070 @end example |
1071 | |
4933 | 1072 @DOCSTRING(functions) |
1073 | |
1074 @DOCSTRING(func2str) | |
1075 | |
1076 @DOCSTRING(str2func) | |
1077 | |
6570 | 1078 @node Anonymous Functions |
6554 | 1079 @subsection Anonymous Functions |
1080 | |
1081 Anonymous functions are defined using the syntax | |
1082 | |
1083 @example | |
1084 @@(@var{argument-list}) @var{expression} | |
1085 @end example | |
1086 | |
1087 @noindent | |
1088 Any variables that are not found in the argument list are inherited from | |
1089 the enclosing scope. Anonymous functions are useful for creating simple | |
1090 unnamed functions from expressions or for wrapping calls to other | |
1091 functions to adapt them for use by functions like @code{quad}. For | |
1092 example, | |
1093 | |
1094 @example | |
1095 f = @@(x) x.^2; | |
1096 quad (f, 0, 10) | |
6570 | 1097 @result{} 333.33 |
6554 | 1098 @end example |
1099 | |
1100 @noindent | |
1101 creates a simple unnamed function from the expression @code{x.^2} and | |
1102 passes it to @code{quad}, | |
1103 | |
1104 @example | |
1105 quad (@@(x) sin (x), 0, pi) | |
6933 | 1106 @result{} 2 |
6554 | 1107 @end example |
1108 | |
1109 @noindent | |
1110 wraps another function, and | |
1111 | |
1112 @example | |
1113 a = 1; | |
1114 b = 2; | |
1115 quad (@@(x) betainc (x, a, b), 0, 0.4) | |
6929 | 1116 @result{} 0.13867 |
6554 | 1117 @end example |
1118 | |
1119 @noindent | |
1120 adapts a function with several parameters to the form required by | |
1121 @code{quad}. In this example, the values of @var{a} and @var{b} that | |
1122 are passed to @code{betainc} are inherited from the current | |
1123 environment. | |
1124 | |
4933 | 1125 @node Inline Functions |
1126 @subsection Inline Functions | |
1127 | |
6638 | 1128 An inline function is created from a string containing the function |
1129 body using the @code{inline} function. The following code defines the | |
1130 function @math{f(x) = x^2 + 2}. | |
1131 | |
1132 @example | |
1133 f = inline("x^2 + 2"); | |
1134 @end example | |
1135 | |
1136 @noindent | |
1137 After this it is possible to evaluate @math{f} at any @math{x} by | |
1138 writing @code{f(x)}. | |
1139 | |
4933 | 1140 @DOCSTRING(inline) |
1141 | |
1142 @DOCSTRING(argnames) | |
1143 | |
1144 @DOCSTRING(formula) | |
1145 | |
1146 @DOCSTRING(vectorize) | |
1147 | |
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1148 @DOCSTRING(symvar) |
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1149 |
6549 | 1150 @node Commands |
1151 @section Commands | |
1152 | |
6638 | 1153 Commands are a special class of functions that only accept string |
1154 input arguments. A command can be called as an ordinary function, but | |
1155 it can also be called without the parentheses like the following example | |
1156 shows | |
1157 | |
1158 @example | |
1159 my_command hello world | |
1160 @end example | |
1161 | |
1162 @noindent | |
1163 which is the same as | |
1164 | |
1165 @example | |
1166 my_command("hello", "world") | |
1167 @end example | |
1168 | |
1169 The general form of a command call is | |
1170 | |
1171 @example | |
1172 @var{name} @var{arg1} @var{arg2} @dots{} | |
1173 @end example | |
1174 | |
1175 @noindent | |
1176 which translates directly to | |
1177 | |
1178 @example | |
1179 @var{name} ("@var{arg1}", "@var{arg2}", @dots{}) | |
1180 @end example | |
1181 | |
7001 | 1182 A function can be used as a command if it accepts string input arguments. |
6638 | 1183 To do this, the function must be marked as a command, which can be done |
1184 with the @code{mark_as_command} command like this | |
1185 | |
1186 @example | |
1187 mark_as_command name | |
1188 @end example | |
1189 | |
1190 @noindent | |
1191 where @code{name} is the function to be marked as a command. | |
1192 | |
1193 One difficulty of commands occurs when one of the string input arguments | |
1194 are stored in a variable. Since Octave can't tell the difference between | |
1195 a variable name, and an ordinary string, it is not possible to pass a | |
1196 variable as input to a command. In such a situation a command must be | |
1197 called as a function. | |
1198 | |
6549 | 1199 @DOCSTRING(mark_as_command) |
1200 | |
1201 @DOCSTRING(unmark_command) | |
1202 | |
1203 @DOCSTRING(iscommand) | |
1204 | |
1205 @DOCSTRING(mark_as_rawcommand) | |
1206 | |
1207 @DOCSTRING(unmark_rawcommand) | |
1208 | |
1209 @DOCSTRING(israwcommand) | |
1210 | |
4167 | 1211 @node Organization of Functions |
3294 | 1212 @section Organization of Functions Distributed with Octave |
1213 | |
1214 Many of Octave's standard functions are distributed as function files. | |
1215 They are loosely organized by topic, in subdirectories of | |
1216 @file{@var{octave-home}/lib/octave/@var{version}/m}, to make it easier | |
1217 to find them. | |
1218 | |
1219 The following is a list of all the function file subdirectories, and the | |
1220 types of functions you will find there. | |
1221 | |
1222 @table @file | |
1223 @item audio | |
1224 Functions for playing and recording sounds. | |
1225 | |
1226 @item control | |
1227 Functions for design and simulation of automatic control systems. | |
1228 | |
1229 @item elfun | |
1230 Elementary functions. | |
1231 | |
6554 | 1232 @item finance |
1233 Functions for computing interest payments, investment values, and rates | |
1234 of return. | |
1235 | |
3294 | 1236 @item general |
1237 Miscellaneous matrix manipulations, like @code{flipud}, @code{rot90}, | |
1238 and @code{triu}, as well as other basic functions, like | |
4029 | 1239 @code{ismatrix}, @code{nargchk}, etc. |
3294 | 1240 |
1241 @item image | |
1242 Image processing tools. These functions require the X Window System. | |
1243 | |
1244 @item io | |
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1245 Input-output functions. |
3294 | 1246 |
1247 @item linear-algebra | |
1248 Functions for linear algebra. | |
1249 | |
1250 @item miscellaneous | |
1251 Functions that don't really belong anywhere else. | |
1252 | |
6554 | 1253 @item optimization |
1254 Minimization of functions. | |
1255 | |
1256 @item path | |
1257 Functions to manage the directory path Octave uses to find functions. | |
1258 | |
1259 @item pkg | |
1260 Install external packages of functions in Octave. | |
1261 | |
3294 | 1262 @item plot |
6556 | 1263 Functions for displaying and printing two- and three-dimensional graphs. |
3294 | 1264 |
1265 @item polynomial | |
1266 Functions for manipulating polynomials. | |
1267 | |
1268 @item set | |
1269 Functions for creating and manipulating sets of unique values. | |
1270 | |
1271 @item signal | |
1272 Functions for signal processing applications. | |
1273 | |
6554 | 1274 @item sparse |
1275 Functions for handling sparse matrices. | |
1276 | |
3294 | 1277 @item specfun |
1278 Special functions. | |
1279 | |
1280 @item special-matrix | |
1281 Functions that create special matrix forms. | |
1282 | |
1283 @item startup | |
1284 Octave's system-wide startup file. | |
1285 | |
1286 @item statistics | |
1287 Statistical functions. | |
1288 | |
1289 @item strings | |
1290 Miscellaneous string-handling functions. | |
1291 | |
6554 | 1292 @item testfun |
1293 Perform unit tests on other functions. | |
1294 | |
3294 | 1295 @item time |
1296 Functions related to time keeping. | |
1297 @end table |