|
1
|
1 /* |
|
|
2 |
|
1884
|
3 Copyright (C) 1996 John W. Eaton |
|
1
|
4 |
|
|
5 This file is part of Octave. |
|
|
6 |
|
|
7 Octave is free software; you can redistribute it and/or modify it |
|
|
8 under the terms of the GNU General Public License as published by the |
|
|
9 Free Software Foundation; either version 2, or (at your option) any |
|
|
10 later version. |
|
|
11 |
|
|
12 Octave is distributed in the hope that it will be useful, but WITHOUT |
|
|
13 ANY WARRANTY; without even the implied warranty of MERCHANTABILITY or |
|
|
14 FITNESS FOR A PARTICULAR PURPOSE. See the GNU General Public License |
|
|
15 for more details. |
|
|
16 |
|
|
17 You should have received a copy of the GNU General Public License |
|
|
18 along with Octave; see the file COPYING. If not, write to the Free |
|
1315
|
19 Software Foundation, 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. |
|
1
|
20 |
|
|
21 */ |
|
|
22 |
|
240
|
23 #ifdef HAVE_CONFIG_H |
|
1192
|
24 #include <config.h> |
|
1
|
25 #endif |
|
|
26 |
|
2089
|
27 #include <cctype> |
|
1343
|
28 #include <cfloat> |
|
|
29 |
|
1651
|
30 #include "oct-cmplx.h" |
|
1769
|
31 #include "oct-math.h" |
|
1
|
32 |
|
1352
|
33 #include "defun.h" |
|
|
34 #include "error.h" |
|
1847
|
35 #include "f77-fcn.h" |
|
1
|
36 #include "mappers.h" |
|
1308
|
37 #include "sysdep.h" |
|
1
|
38 #include "utils.h" |
|
1352
|
39 #include "variables.h" |
|
1
|
40 |
|
|
41 #if defined (_AIX) && defined (__GNUG__) |
|
|
42 #undef finite |
|
|
43 #define finite(x) ((x) < DBL_MAX && (x) > -DBL_MAX) |
|
|
44 #endif |
|
|
45 |
|
1173
|
46 extern "C" |
|
|
47 { |
|
1255
|
48 double F77_FCN (dgamma, DGAMMA) (const double&); |
|
|
49 int F77_FCN (dlgams, DLGAMS) (const double&, double&, double&); |
|
1173
|
50 } |
|
|
51 |
|
65
|
52 #ifndef M_LOG10E |
|
|
53 #define M_LOG10E 0.43429448190325182765 |
|
|
54 #endif |
|
|
55 |
|
|
56 #ifndef M_PI |
|
|
57 #define M_PI 3.14159265358979323846 |
|
|
58 #endif |
|
|
59 |
|
706
|
60 #if defined (HAVE_LGAMMA) && ! defined (SIGNGAM_DECLARED) |
|
|
61 extern int signgam; |
|
|
62 #endif |
|
|
63 |
|
767
|
64 // Double -> double mappers. |
|
1
|
65 |
|
|
66 double |
|
|
67 arg (double x) |
|
|
68 { |
|
65
|
69 if (x < 0.0) |
|
|
70 return M_PI; |
|
|
71 else |
|
1308
|
72 #if defined (HAVE_ISNAN) |
|
|
73 return xisnan (x) ? octave_NaN : 0.0; |
|
|
74 #else |
|
65
|
75 return 0.0; |
|
1308
|
76 #endif |
|
1
|
77 } |
|
|
78 |
|
|
79 double |
|
|
80 conj (double x) |
|
|
81 { |
|
|
82 return x; |
|
|
83 } |
|
|
84 |
|
|
85 double |
|
|
86 fix (double x) |
|
|
87 { |
|
|
88 int tmp; |
|
|
89 tmp = (int) x; |
|
|
90 return (double) tmp; |
|
|
91 } |
|
|
92 |
|
|
93 double |
|
|
94 imag (double x) |
|
|
95 { |
|
1308
|
96 #if defined (HAVE_ISNAN) |
|
|
97 return xisnan (x) ? octave_NaN : 0.0; |
|
|
98 #else |
|
1
|
99 return 0.0; |
|
1308
|
100 #endif |
|
1
|
101 } |
|
|
102 |
|
|
103 double |
|
|
104 real (double x) |
|
|
105 { |
|
|
106 return x; |
|
|
107 } |
|
|
108 |
|
|
109 double |
|
|
110 round (double x) |
|
|
111 { |
|
|
112 return D_NINT (x); |
|
|
113 } |
|
|
114 |
|
|
115 double |
|
|
116 signum (double x) |
|
|
117 { |
|
|
118 double tmp = 0.0; |
|
|
119 if (x < 0.0) |
|
|
120 tmp = -1.0; |
|
|
121 else if (x > 0.0) |
|
|
122 tmp = 1.0; |
|
1308
|
123 |
|
|
124 #if defined (HAVE_ISNAN) |
|
|
125 return xisnan (x) ? octave_NaN : tmp; |
|
|
126 #else |
|
1
|
127 return tmp; |
|
1308
|
128 #endif |
|
1
|
129 } |
|
|
130 |
|
|
131 double |
|
624
|
132 xerf (double x) |
|
|
133 { |
|
|
134 #if defined (HAVE_ERF) |
|
|
135 return erf (x); |
|
|
136 #else |
|
|
137 error ("erf(x) not available on this system"); |
|
|
138 #endif |
|
|
139 } |
|
|
140 |
|
|
141 double |
|
|
142 xerfc (double x) |
|
|
143 { |
|
|
144 #if defined (HAVE_ERFC) |
|
|
145 return erfc (x); |
|
|
146 #else |
|
|
147 error ("erfc(x) not available on this system"); |
|
|
148 #endif |
|
|
149 } |
|
|
150 |
|
|
151 double |
|
1
|
152 xisnan (double x) |
|
|
153 { |
|
|
154 #if defined (HAVE_ISNAN) |
|
|
155 return (double) isnan (x); |
|
|
156 #else |
|
|
157 return 0; |
|
|
158 #endif |
|
|
159 } |
|
|
160 |
|
|
161 double |
|
|
162 xfinite (double x) |
|
|
163 { |
|
|
164 #if defined (HAVE_FINITE) |
|
|
165 return (double) finite (x); |
|
|
166 #elif defined (HAVE_ISINF) && defined (HAVE_ISNAN) |
|
|
167 return (double) (! isinf (x) && ! isnan (x)); |
|
|
168 #else |
|
1384
|
169 return 1; |
|
1
|
170 #endif |
|
|
171 } |
|
|
172 |
|
|
173 double |
|
624
|
174 xgamma (double x) |
|
|
175 { |
|
1255
|
176 return F77_FCN (dgamma, DGAMMA) (x); |
|
624
|
177 } |
|
|
178 |
|
|
179 double |
|
1
|
180 xisinf (double x) |
|
|
181 { |
|
|
182 #if defined (HAVE_ISINF) |
|
|
183 return (double) isinf (x); |
|
|
184 #elif defined (HAVE_FINITE) && defined (HAVE_ISNAN) |
|
|
185 return (double) (! (finite (x) || isnan (x))); |
|
|
186 #else |
|
1384
|
187 return 0; |
|
1
|
188 #endif |
|
|
189 } |
|
|
190 |
|
624
|
191 double |
|
|
192 xlgamma (double x) |
|
|
193 { |
|
1173
|
194 double result; |
|
|
195 double sgngam; |
|
|
196 |
|
1255
|
197 F77_FCN (dlgams, DLGAMS) (x, result, sgngam); |
|
1173
|
198 |
|
|
199 return result; |
|
624
|
200 } |
|
|
201 |
|
767
|
202 // Complex -> double mappers. |
|
1
|
203 |
|
|
204 double |
|
|
205 xisnan (const Complex& x) |
|
|
206 { |
|
|
207 #if defined (HAVE_ISNAN) |
|
|
208 double rx = real (x); |
|
|
209 double ix = imag (x); |
|
|
210 return (double) (isnan (rx) || isnan (ix)); |
|
|
211 #else |
|
|
212 return 0; |
|
|
213 #endif |
|
|
214 } |
|
|
215 |
|
|
216 double |
|
|
217 xfinite (const Complex& x) |
|
|
218 { |
|
|
219 double rx = real (x); |
|
|
220 double ix = imag (x); |
|
|
221 return (double) (! ((int) xisinf (rx) || (int) xisinf (ix))); |
|
|
222 } |
|
|
223 |
|
|
224 double |
|
|
225 xisinf (const Complex& x) |
|
|
226 { |
|
|
227 return (double) (! (int) xfinite (x)); |
|
|
228 } |
|
|
229 |
|
767
|
230 // Complex -> complex mappers. |
|
1
|
231 |
|
|
232 Complex |
|
|
233 acos (const Complex& x) |
|
|
234 { |
|
|
235 static Complex i (0, 1); |
|
|
236 Complex retval = -i * log (x + sqrt (x*x - 1.0)); |
|
|
237 return retval; |
|
|
238 } |
|
|
239 |
|
|
240 Complex |
|
|
241 acosh (const Complex& x) |
|
|
242 { |
|
|
243 Complex retval = log (x + sqrt (x*x - 1.0)); |
|
|
244 return retval; |
|
|
245 } |
|
|
246 |
|
|
247 Complex |
|
|
248 asin (const Complex& x) |
|
|
249 { |
|
|
250 static Complex i (0, 1); |
|
|
251 Complex retval = -i * log (i*x + sqrt (1.0 - x*x)); |
|
|
252 return retval; |
|
|
253 } |
|
|
254 |
|
|
255 Complex |
|
|
256 asinh (const Complex& x) |
|
|
257 { |
|
|
258 Complex retval = log (x + sqrt (x*x + 1.0)); |
|
|
259 return retval; |
|
|
260 } |
|
|
261 |
|
|
262 Complex |
|
|
263 atan (const Complex& x) |
|
|
264 { |
|
|
265 static Complex i (0, 1); |
|
|
266 Complex retval = i * log ((i + x) / (i - x)) / 2.0; |
|
|
267 return retval; |
|
|
268 } |
|
|
269 |
|
|
270 Complex |
|
|
271 atanh (const Complex& x) |
|
|
272 { |
|
|
273 static Complex i (0, 1); |
|
331
|
274 Complex retval = log ((1 + x) / (1 - x)) / 2.0; |
|
1
|
275 return retval; |
|
|
276 } |
|
|
277 |
|
|
278 Complex |
|
|
279 ceil (const Complex& x) |
|
|
280 { |
|
|
281 int re = (int) ceil (real (x)); |
|
|
282 int im = (int) ceil (imag (x)); |
|
|
283 return Complex (re, im); |
|
|
284 } |
|
|
285 |
|
|
286 Complex |
|
|
287 fix (const Complex& x) |
|
|
288 { |
|
|
289 int re = (int) real (x); |
|
|
290 int im = (int) imag (x); |
|
|
291 return Complex (re, im); |
|
|
292 } |
|
|
293 |
|
|
294 Complex |
|
|
295 floor (const Complex& x) |
|
|
296 { |
|
|
297 int re = (int) floor (real (x)); |
|
|
298 int im = (int) floor (imag (x)); |
|
|
299 return Complex (re, im); |
|
|
300 } |
|
|
301 |
|
|
302 Complex |
|
|
303 log10 (const Complex& x) |
|
|
304 { |
|
|
305 return M_LOG10E * log (x); |
|
|
306 } |
|
|
307 |
|
|
308 Complex |
|
|
309 round (const Complex& x) |
|
|
310 { |
|
|
311 double re = D_NINT (real (x)); |
|
|
312 double im = D_NINT (imag (x)); |
|
|
313 return Complex (re, im); |
|
|
314 } |
|
|
315 |
|
|
316 Complex |
|
|
317 signum (const Complex& x) |
|
|
318 { |
|
|
319 return x / abs (x); |
|
|
320 } |
|
|
321 |
|
|
322 Complex |
|
|
323 tan (const Complex& x) |
|
|
324 { |
|
|
325 Complex retval = sin (x) / cos (x); |
|
|
326 return retval; |
|
|
327 } |
|
|
328 |
|
|
329 Complex |
|
|
330 tanh (const Complex& x) |
|
|
331 { |
|
|
332 Complex retval = sinh (x) / cosh (x); |
|
|
333 return retval; |
|
|
334 } |
|
|
335 |
|
2190
|
336 // XXX FIXME XXX -- perhaps this could be avoided by determining |
|
|
337 // whether the is* functions are actually functions or just macros. |
|
|
338 |
|
|
339 int |
|
|
340 xisalnum (int c) |
|
|
341 { |
|
|
342 return isalnum (c); |
|
|
343 } |
|
|
344 |
|
|
345 int |
|
|
346 xisalpha (int c) |
|
|
347 { |
|
|
348 return isalpha (c); |
|
|
349 } |
|
|
350 |
|
|
351 int |
|
|
352 xisascii (int c) |
|
|
353 { |
|
|
354 return isascii (c); |
|
|
355 } |
|
|
356 |
|
|
357 int |
|
|
358 xiscntrl (int c) |
|
|
359 { |
|
|
360 return iscntrl (c); |
|
|
361 } |
|
|
362 |
|
|
363 int |
|
|
364 xisdigit (int c) |
|
|
365 { |
|
|
366 return isdigit (c); |
|
|
367 } |
|
|
368 |
|
|
369 int |
|
|
370 xisgraph (int c) |
|
|
371 { |
|
|
372 return isgraph (c); |
|
|
373 } |
|
|
374 |
|
|
375 int |
|
|
376 xislower (int c) |
|
|
377 { |
|
|
378 return islower (c); |
|
|
379 } |
|
|
380 |
|
|
381 int |
|
|
382 xisprint (int c) |
|
|
383 { |
|
|
384 return isprint (c); |
|
|
385 } |
|
|
386 |
|
|
387 int |
|
|
388 xispunct (int c) |
|
|
389 { |
|
|
390 return ispunct (c); |
|
|
391 } |
|
|
392 |
|
|
393 int |
|
|
394 xisspace (int c) |
|
|
395 { |
|
|
396 return isspace (c); |
|
|
397 } |
|
|
398 |
|
|
399 int |
|
|
400 xisupper (int c) |
|
|
401 { |
|
|
402 return isupper (c); |
|
|
403 } |
|
|
404 |
|
|
405 int |
|
|
406 xisxdigit (int c) |
|
|
407 { |
|
|
408 return isxdigit (c); |
|
|
409 } |
|
|
410 |
|
529
|
411 void |
|
|
412 install_mapper_functions (void) |
|
|
413 { |
|
2089
|
414 DEFUN_MAPPER (abs, 0, fabs, abs, 0, 0.0, 0.0, 0, |
|
529
|
415 "abs (X): compute abs (X) for each element of X"); |
|
|
416 |
|
2089
|
417 DEFUN_MAPPER (acos, 0, acos, 0, acos, -1.0, 1.0, 1, |
|
529
|
418 "acos (X): compute acos (X) for each element of X"); |
|
|
419 |
|
2089
|
420 DEFUN_MAPPER (acosh, 0, acosh, 0, acosh, 1.0, DBL_MAX, 1, |
|
529
|
421 "acosh (X): compute acosh (X) for each element of X"); |
|
|
422 |
|
2089
|
423 DEFUN_MAPPER (angle, 0, arg, arg, 0, 0.0, 0.0, 0, |
|
529
|
424 "angle (X): compute arg (X) for each element of X"); |
|
|
425 |
|
2089
|
426 DEFUN_MAPPER (arg, 0, arg, arg, 0, 0.0, 0.0, 0, |
|
529
|
427 "arg (X): compute arg (X) for each element of X"); |
|
|
428 |
|
2089
|
429 DEFUN_MAPPER (asin, 0, asin, 0, asin, -1.0, 1.0, 1, |
|
529
|
430 "asin (X): compute asin (X) for each element of X"); |
|
|
431 |
|
2089
|
432 DEFUN_MAPPER (asinh, 0, asinh, 0, asinh, 0.0, 0.0, 0, |
|
529
|
433 "asinh (X): compute asinh (X) for each element of X"); |
|
|
434 |
|
2089
|
435 DEFUN_MAPPER (atan, 0, atan, 0, atan, 0.0, 0.0, 0, |
|
529
|
436 "atan (X): compute atan (X) for each element of X"); |
|
|
437 |
|
2089
|
438 DEFUN_MAPPER (atanh, 0, atanh, 0, atanh, -1.0, 1.0, 1, |
|
529
|
439 "atanh (X): compute atanh (X) for each element of X"); |
|
|
440 |
|
2089
|
441 DEFUN_MAPPER (ceil, 0, ceil, 0, ceil, 0.0, 0.0, 0, |
|
529
|
442 "ceil (X): round elements of X toward +Inf"); |
|
|
443 |
|
2089
|
444 DEFUN_MAPPER (conj, 0, conj, 0, conj, 0.0, 0.0, 0, |
|
529
|
445 "conj (X): compute complex conjugate for each element of X"); |
|
|
446 |
|
2089
|
447 DEFUN_MAPPER (cos, 0, cos, 0, cos, 0.0, 0.0, 0, |
|
529
|
448 "cos (X): compute cos (X) for each element of X"); |
|
|
449 |
|
2089
|
450 DEFUN_MAPPER (cosh, 0, cosh, 0, cosh, 0.0, 0.0, 0, |
|
529
|
451 "cosh (X): compute cosh (X) for each element of X"); |
|
|
452 |
|
2089
|
453 DEFUN_MAPPER (erf, 0, xerf, 0, 0, 0.0, 0.0, 0, |
|
624
|
454 "erf (X): compute erf (X) for each element of X"); |
|
|
455 |
|
2089
|
456 DEFUN_MAPPER (erfc, 0, xerfc, 0, 0, 0.0, 0.0, 0, |
|
624
|
457 "erfc (X): compute erfc (X) for each element of X"); |
|
|
458 |
|
2089
|
459 DEFUN_MAPPER (exp, 0, exp, 0, exp, 0.0, 0.0, 0, |
|
529
|
460 "exp (X): compute exp (X) for each element of X"); |
|
|
461 |
|
2089
|
462 DEFUN_MAPPER (finite, 0, xfinite, xfinite, 0, 0.0, 0.0, 0, |
|
529
|
463 "finite (X): return 1 for finite elements of X"); |
|
|
464 |
|
2089
|
465 DEFUN_MAPPER (fix, 0, fix, 0, fix, 0.0, 0.0, 0, |
|
529
|
466 "fix (X): round elements of X toward zero"); |
|
|
467 |
|
2089
|
468 DEFUN_MAPPER (floor, 0, floor, 0, floor, 0.0, 0.0, 0, |
|
529
|
469 "floor (X): round elements of X toward -Inf"); |
|
|
470 |
|
2089
|
471 DEFUN_MAPPER (gamma, 0, xgamma, 0, 0, 0.0, 0.0, 0, |
|
624
|
472 "gamma (X): compute gamma (X) for each element of X"); |
|
|
473 |
|
2089
|
474 DEFUN_MAPPER (imag, 0, imag, imag, 0, 0.0, 0.0, 0, |
|
|
475 "imag (X): return imaginary part for each elements of X"); |
|
|
476 |
|
2190
|
477 DEFUN_MAPPER (isalnum, xisalnum, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
478 "isalnum (X): "); |
|
|
479 |
|
2190
|
480 DEFUN_MAPPER (isalpha, xisalpha, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
481 "isalpha (X): "); |
|
|
482 |
|
2190
|
483 DEFUN_MAPPER (isascii, xisascii, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
484 "isascii (X): "); |
|
|
485 |
|
2190
|
486 DEFUN_MAPPER (iscntrl, xiscntrl, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
487 "iscntrl (X): "); |
|
|
488 |
|
2190
|
489 DEFUN_MAPPER (isdigit, xisdigit, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
490 "isdigit (X): "); |
|
|
491 |
|
|
492 DEFUN_MAPPER (isinf, 0, xisinf, xisinf, 0, 0.0, 0.0, 0, |
|
529
|
493 "isinf (X): return 1 for elements of X infinite"); |
|
|
494 |
|
2190
|
495 DEFUN_MAPPER (isgraph, xisgraph, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
496 "isgraph (X): "); |
|
529
|
497 |
|
2190
|
498 DEFUN_MAPPER (islower, xislower, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
499 "islower (X): "); |
|
|
500 |
|
|
501 DEFUN_MAPPER (isnan, 0, xisnan, xisnan, 0, 0.0, 0.0, 0, |
|
529
|
502 "isnan (X): return 1 where elements of X are NaNs"); |
|
624
|
503 |
|
2190
|
504 DEFUN_MAPPER (isprint, xisprint, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
505 "isprint (X): "); |
|
|
506 |
|
2190
|
507 DEFUN_MAPPER (ispunct, xispunct, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
508 "ispunct (X): "); |
|
|
509 |
|
2190
|
510 DEFUN_MAPPER (isspace, xisspace, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
511 "isspace (X): "); |
|
|
512 |
|
2190
|
513 DEFUN_MAPPER (isupper, xisupper, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
514 "isupper (X): "); |
|
|
515 |
|
2190
|
516 DEFUN_MAPPER (isxdigit, xisxdigit, 0, 0, 0, 0.0, 0.0, 0, |
|
2089
|
517 "isxdigit (X): "); |
|
|
518 |
|
|
519 DEFUN_MAPPER (lgamma, 0, xlgamma, 0, 0, 0.0, 0.0, 0, |
|
624
|
520 "lgamma (X): compute log gamma (X) for each element of X"); |
|
529
|
521 |
|
2089
|
522 DEFUN_MAPPER (log, 0, log, 0, log, 0.0, DBL_MAX, 1, |
|
529
|
523 "log (X): compute log (X) for each element of X"); |
|
|
524 |
|
2089
|
525 DEFUN_MAPPER (log10, 0, log10, 0, log10, 0.0, DBL_MAX, 1, |
|
529
|
526 "log10 (X): compute log10 (X) for each element of X"); |
|
|
527 |
|
2089
|
528 DEFUN_MAPPER (real, 0, real, real, 0, 0.0, 0.0, 0, |
|
529
|
529 "real (X): return real part for each element of X"); |
|
|
530 |
|
2089
|
531 DEFUN_MAPPER (round, 0, round, 0, round, 0.0, 0.0, 0, |
|
529
|
532 "round (X): round elements of X to nearest integer"); |
|
|
533 |
|
2089
|
534 DEFUN_MAPPER (sign, 0, signum, 0, signum, 0.0, 0.0, 0, |
|
529
|
535 "sign (X): apply signum function to elements of X"); |
|
|
536 |
|
2089
|
537 DEFUN_MAPPER (sin, 0, sin, 0, sin, 0.0, 0.0, 0, |
|
529
|
538 "sin (X): compute sin (X) for each element of X"); |
|
|
539 |
|
2089
|
540 DEFUN_MAPPER (sinh, 0, sinh, 0, sinh, 0.0, 0.0, 0, |
|
529
|
541 "sinh (X): compute sinh (X) for each element of X"); |
|
|
542 |
|
2089
|
543 DEFUN_MAPPER (sqrt, 0, sqrt, 0, sqrt, 0.0, DBL_MAX, 1, |
|
529
|
544 "sqrt (X): compute sqrt (X) for each element of X"); |
|
|
545 |
|
2089
|
546 DEFUN_MAPPER (tan, 0, tan, 0, tan, 0.0, 0.0, 0, |
|
529
|
547 "tan (X): compute tan (X) for each element of X"); |
|
|
548 |
|
2089
|
549 DEFUN_MAPPER (tanh, 0, tanh, 0, tanh, 0.0, 0.0, 0, |
|
529
|
550 "tanh (X): compute tanh (X) for each element of X"); |
|
1562
|
551 |
|
|
552 DEFALIAS (gammaln, lgamma); |
|
529
|
553 } |
|
|
554 |
|
1
|
555 /* |
|
|
556 ;;; Local Variables: *** |
|
|
557 ;;; mode: C++ *** |
|
|
558 ;;; End: *** |
|
|
559 */ |
