Commit | Line | Data |
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b70021f4 | 1 | /* Primitive operations on floating point for GNU Emacs Lisp interpreter. |
4746118a | 2 | Copyright (C) 1988, 1992 Free Software Foundation, Inc. |
b70021f4 MR |
3 | |
4 | This file is part of GNU Emacs. | |
5 | ||
6 | GNU Emacs is free software; you can redistribute it and/or modify | |
7 | it under the terms of the GNU General Public License as published by | |
4746118a | 8 | the Free Software Foundation; either version 2, or (at your option) |
b70021f4 MR |
9 | any later version. |
10 | ||
11 | GNU Emacs is distributed in the hope that it will be useful, | |
12 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
14 | GNU General Public License for more details. | |
15 | ||
16 | You should have received a copy of the GNU General Public License | |
17 | along with GNU Emacs; see the file COPYING. If not, write to | |
18 | the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA. */ | |
19 | ||
20 | ||
4b6baf5f RS |
21 | /* ANSI C requires only these float functions: |
22 | acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, fmod, | |
23 | frexp, ldexp, log, log10, modf, pow, sin, sinh, sqrt, tan, tanh. | |
24 | ||
25 | Define HAVE_INVERSE_HYPERBOLIC if you have acosh, asinh, and atanh. | |
26 | Define HAVE_CBRT if you have cbrt. | |
27 | Define HAVE_RINT if you have rint. | |
28 | If you don't define these, then the appropriate routines will be simulated. | |
29 | ||
30 | Define HAVE_MATHERR if on a system supporting the SysV matherr callback. | |
31 | (This should happen automatically.) | |
32 | ||
33 | Define FLOAT_CHECK_ERRNO if the float library routines set errno. | |
34 | This has no effect if HAVE_MATHERR is defined. | |
35 | ||
36 | Define FLOAT_CATCH_SIGILL if the float library routines signal SIGILL. | |
37 | (What systems actually do this? Please let us know.) | |
38 | ||
39 | Define FLOAT_CHECK_DOMAIN if the float library doesn't handle errors by | |
40 | either setting errno, or signalling SIGFPE/SIGILL. Otherwise, domain and | |
41 | range checking will happen before calling the float routines. This has | |
42 | no effect if HAVE_MATHERR is defined (since matherr will be called when | |
43 | a domain error occurs.) | |
44 | */ | |
45 | ||
b70021f4 MR |
46 | #include <signal.h> |
47 | ||
48 | #include "config.h" | |
49 | #include "lisp.h" | |
e065a56e | 50 | #include "syssignal.h" |
b70021f4 MR |
51 | |
52 | Lisp_Object Qarith_error; | |
53 | ||
54 | #ifdef LISP_FLOAT_TYPE | |
265a9e55 | 55 | |
b70021f4 | 56 | #include <math.h> |
4b6baf5f RS |
57 | |
58 | #if defined(DOMAIN) && defined(SING) && defined(OVERFLOW) | |
59 | /* If those are defined, then this is probably a `matherr' machine. */ | |
60 | # ifndef HAVE_MATHERR | |
61 | # define HAVE_MATHERR | |
62 | # endif | |
63 | #endif | |
64 | ||
65 | #ifdef HAVE_MATHERR | |
66 | # ifdef FLOAT_CHECK_ERRNO | |
67 | # undef FLOAT_CHECK_ERRNO | |
68 | # endif | |
69 | # ifdef FLOAT_CHECK_DOMAIN | |
70 | # undef FLOAT_CHECK_DOMAIN | |
71 | # endif | |
72 | #endif | |
73 | ||
74 | #ifndef NO_FLOAT_CHECK_ERRNO | |
75 | #define FLOAT_CHECK_ERRNO | |
76 | #endif | |
77 | ||
78 | #ifdef FLOAT_CHECK_ERRNO | |
79 | # include <errno.h> | |
265a9e55 JB |
80 | |
81 | extern int errno; | |
4b6baf5f | 82 | #endif |
265a9e55 JB |
83 | |
84 | /* Avoid traps on VMS from sinh and cosh. | |
85 | All the other functions set errno instead. */ | |
86 | ||
87 | #ifdef VMS | |
88 | #undef cosh | |
89 | #undef sinh | |
90 | #define cosh(x) ((exp(x)+exp(-x))*0.5) | |
91 | #define sinh(x) ((exp(x)-exp(-x))*0.5) | |
92 | #endif /* VMS */ | |
93 | ||
4b6baf5f RS |
94 | #ifndef HAVE_RINT |
95 | #define rint(x) (floor((x)+0.5)) | |
96 | #endif | |
97 | ||
4746118a | 98 | static SIGTYPE float_error (); |
b70021f4 MR |
99 | |
100 | /* Nonzero while executing in floating point. | |
101 | This tells float_error what to do. */ | |
102 | ||
103 | static int in_float; | |
104 | ||
105 | /* If an argument is out of range for a mathematical function, | |
265a9e55 | 106 | here is the actual argument value to use in the error message. */ |
b70021f4 | 107 | |
4b6baf5f RS |
108 | static Lisp_Object float_error_arg, float_error_arg2; |
109 | ||
110 | static char *float_error_fn_name; | |
b70021f4 | 111 | |
265a9e55 JB |
112 | /* Evaluate the floating point expression D, recording NUM |
113 | as the original argument for error messages. | |
114 | D is normally an assignment expression. | |
f8d83099 JB |
115 | Handle errors which may result in signals or may set errno. |
116 | ||
117 | Note that float_error may be declared to return void, so you can't | |
118 | just cast the zero after the colon to (SIGTYPE) to make the types | |
119 | check properly. */ | |
265a9e55 | 120 | |
4b6baf5f RS |
121 | #ifdef FLOAT_CHECK_ERRNO |
122 | #define IN_FLOAT(d, name, num) \ | |
123 | do { \ | |
124 | float_error_arg = num; \ | |
125 | float_error_fn_name = name; \ | |
126 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
127 | switch (errno) { \ | |
128 | case 0: break; \ | |
129 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
130 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
131 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
132 | } \ | |
133 | } while (0) | |
134 | #define IN_FLOAT2(d, name, num, num2) \ | |
135 | do { \ | |
136 | float_error_arg = num; \ | |
137 | float_error_arg2 = num2; \ | |
138 | float_error_fn_name = name; \ | |
139 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
140 | switch (errno) { \ | |
141 | case 0: break; \ | |
142 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
143 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
144 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
145 | } \ | |
146 | } while (0) | |
147 | #else | |
148 | #define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0) | |
149 | #endif | |
150 | ||
151 | #define arith_error(op,arg) \ | |
152 | Fsignal (Qarith_error, Fcons (build_string ((op)), Fcons ((arg), Qnil))) | |
153 | #define range_error(op,arg) \ | |
154 | Fsignal (Qrange_error, Fcons (build_string ((op)), Fcons ((arg), Qnil))) | |
155 | #define domain_error(op,arg) \ | |
156 | Fsignal (Qdomain_error, Fcons (build_string ((op)), Fcons ((arg), Qnil))) | |
157 | #define domain_error2(op,a1,a2) \ | |
158 | Fsignal (Qdomain_error, Fcons (build_string ((op)), Fcons ((a1), Fcons ((a2), Qnil)))) | |
b70021f4 MR |
159 | |
160 | /* Extract a Lisp number as a `double', or signal an error. */ | |
161 | ||
162 | double | |
163 | extract_float (num) | |
164 | Lisp_Object num; | |
165 | { | |
166 | CHECK_NUMBER_OR_FLOAT (num, 0); | |
167 | ||
168 | if (XTYPE (num) == Lisp_Float) | |
169 | return XFLOAT (num)->data; | |
170 | return (double) XINT (num); | |
171 | } | |
c2d4ea74 RS |
172 | \f |
173 | /* Trig functions. */ | |
b70021f4 MR |
174 | |
175 | DEFUN ("acos", Facos, Sacos, 1, 1, 0, | |
176 | "Return the inverse cosine of ARG.") | |
4b6baf5f RS |
177 | (arg) |
178 | register Lisp_Object arg; | |
b70021f4 | 179 | { |
4b6baf5f RS |
180 | double d = extract_float (arg); |
181 | #ifdef FLOAT_CHECK_DOMAIN | |
182 | if (d > 1.0 || d < -1.0) | |
183 | domain_error ("acos", arg); | |
184 | #endif | |
185 | IN_FLOAT (d = acos (d), "acos", arg); | |
b70021f4 MR |
186 | return make_float (d); |
187 | } | |
188 | ||
c2d4ea74 RS |
189 | DEFUN ("asin", Fasin, Sasin, 1, 1, 0, |
190 | "Return the inverse sine of ARG.") | |
4b6baf5f RS |
191 | (arg) |
192 | register Lisp_Object arg; | |
b70021f4 | 193 | { |
4b6baf5f RS |
194 | double d = extract_float (arg); |
195 | #ifdef FLOAT_CHECK_DOMAIN | |
196 | if (d > 1.0 || d < -1.0) | |
197 | domain_error ("asin", arg); | |
198 | #endif | |
199 | IN_FLOAT (d = asin (d), "asin", arg); | |
b70021f4 MR |
200 | return make_float (d); |
201 | } | |
202 | ||
c2d4ea74 RS |
203 | DEFUN ("atan", Fatan, Satan, 1, 1, 0, |
204 | "Return the inverse tangent of ARG.") | |
4b6baf5f RS |
205 | (arg) |
206 | register Lisp_Object arg; | |
b70021f4 | 207 | { |
4b6baf5f RS |
208 | double d = extract_float (arg); |
209 | IN_FLOAT (d = atan (d), "atan", arg); | |
b70021f4 MR |
210 | return make_float (d); |
211 | } | |
212 | ||
c2d4ea74 RS |
213 | DEFUN ("cos", Fcos, Scos, 1, 1, 0, |
214 | "Return the cosine of ARG.") | |
4b6baf5f RS |
215 | (arg) |
216 | register Lisp_Object arg; | |
b70021f4 | 217 | { |
4b6baf5f RS |
218 | double d = extract_float (arg); |
219 | IN_FLOAT (d = cos (d), "cos", arg); | |
b70021f4 MR |
220 | return make_float (d); |
221 | } | |
222 | ||
c2d4ea74 RS |
223 | DEFUN ("sin", Fsin, Ssin, 1, 1, 0, |
224 | "Return the sine of ARG.") | |
4b6baf5f RS |
225 | (arg) |
226 | register Lisp_Object arg; | |
b70021f4 | 227 | { |
4b6baf5f RS |
228 | double d = extract_float (arg); |
229 | IN_FLOAT (d = sin (d), "sin", arg); | |
b70021f4 MR |
230 | return make_float (d); |
231 | } | |
232 | ||
c2d4ea74 RS |
233 | DEFUN ("tan", Ftan, Stan, 1, 1, 0, |
234 | "Return the tangent of ARG.") | |
4b6baf5f RS |
235 | (arg) |
236 | register Lisp_Object arg; | |
237 | { | |
238 | double d = extract_float (arg); | |
239 | double c = cos (d); | |
240 | #ifdef FLOAT_CHECK_DOMAIN | |
241 | if (c == 0.0) | |
242 | domain_error ("tan", arg); | |
243 | #endif | |
244 | IN_FLOAT (d = sin (d) / c, "tan", arg); | |
b70021f4 MR |
245 | return make_float (d); |
246 | } | |
247 | \f | |
c2d4ea74 RS |
248 | #if 0 /* Leave these out unless we find there's a reason for them. */ |
249 | ||
b70021f4 MR |
250 | DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0, |
251 | "Return the bessel function j0 of ARG.") | |
4b6baf5f RS |
252 | (arg) |
253 | register Lisp_Object arg; | |
b70021f4 | 254 | { |
4b6baf5f RS |
255 | double d = extract_float (arg); |
256 | IN_FLOAT (d = j0 (d), "bessel-j0", arg); | |
b70021f4 MR |
257 | return make_float (d); |
258 | } | |
259 | ||
260 | DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0, | |
261 | "Return the bessel function j1 of ARG.") | |
4b6baf5f RS |
262 | (arg) |
263 | register Lisp_Object arg; | |
b70021f4 | 264 | { |
4b6baf5f RS |
265 | double d = extract_float (arg); |
266 | IN_FLOAT (d = j1 (d), "bessel-j1", arg); | |
b70021f4 MR |
267 | return make_float (d); |
268 | } | |
269 | ||
270 | DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0, | |
271 | "Return the order N bessel function output jn of ARG.\n\ | |
272 | The first arg (the order) is truncated to an integer.") | |
4b6baf5f RS |
273 | (arg1, arg2) |
274 | register Lisp_Object arg1, arg2; | |
b70021f4 | 275 | { |
4b6baf5f RS |
276 | int i1 = extract_float (arg1); |
277 | double f2 = extract_float (arg2); | |
b70021f4 | 278 | |
4b6baf5f | 279 | IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", arg1); |
b70021f4 MR |
280 | return make_float (f2); |
281 | } | |
282 | ||
283 | DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0, | |
284 | "Return the bessel function y0 of ARG.") | |
4b6baf5f RS |
285 | (arg) |
286 | register Lisp_Object arg; | |
b70021f4 | 287 | { |
4b6baf5f RS |
288 | double d = extract_float (arg); |
289 | IN_FLOAT (d = y0 (d), "bessel-y0", arg); | |
b70021f4 MR |
290 | return make_float (d); |
291 | } | |
292 | ||
293 | DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0, | |
294 | "Return the bessel function y1 of ARG.") | |
4b6baf5f RS |
295 | (arg) |
296 | register Lisp_Object arg; | |
b70021f4 | 297 | { |
4b6baf5f RS |
298 | double d = extract_float (arg); |
299 | IN_FLOAT (d = y1 (d), "bessel-y0", arg); | |
b70021f4 MR |
300 | return make_float (d); |
301 | } | |
302 | ||
303 | DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0, | |
304 | "Return the order N bessel function output yn of ARG.\n\ | |
305 | The first arg (the order) is truncated to an integer.") | |
4b6baf5f RS |
306 | (arg1, arg2) |
307 | register Lisp_Object arg1, arg2; | |
b70021f4 | 308 | { |
4b6baf5f RS |
309 | int i1 = extract_float (arg1); |
310 | double f2 = extract_float (arg2); | |
b70021f4 | 311 | |
4b6baf5f | 312 | IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", arg1); |
b70021f4 MR |
313 | return make_float (f2); |
314 | } | |
b70021f4 | 315 | |
c2d4ea74 RS |
316 | #endif |
317 | \f | |
318 | #if 0 /* Leave these out unless we see they are worth having. */ | |
b70021f4 MR |
319 | |
320 | DEFUN ("erf", Ferf, Serf, 1, 1, 0, | |
321 | "Return the mathematical error function of ARG.") | |
4b6baf5f RS |
322 | (arg) |
323 | register Lisp_Object arg; | |
b70021f4 | 324 | { |
4b6baf5f RS |
325 | double d = extract_float (arg); |
326 | IN_FLOAT (d = erf (d), "erf", arg); | |
b70021f4 MR |
327 | return make_float (d); |
328 | } | |
329 | ||
330 | DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0, | |
331 | "Return the complementary error function of ARG.") | |
4b6baf5f RS |
332 | (arg) |
333 | register Lisp_Object arg; | |
b70021f4 | 334 | { |
4b6baf5f RS |
335 | double d = extract_float (arg); |
336 | IN_FLOAT (d = erfc (d), "erfc", arg); | |
b70021f4 MR |
337 | return make_float (d); |
338 | } | |
339 | ||
b70021f4 MR |
340 | DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0, |
341 | "Return the log gamma of ARG.") | |
4b6baf5f RS |
342 | (arg) |
343 | register Lisp_Object arg; | |
b70021f4 | 344 | { |
4b6baf5f RS |
345 | double d = extract_float (arg); |
346 | IN_FLOAT (d = lgamma (d), "log-gamma", arg); | |
b70021f4 MR |
347 | return make_float (d); |
348 | } | |
349 | ||
4b6baf5f | 350 | DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0, |
c2d4ea74 | 351 | "Return the cube root of ARG.") |
4b6baf5f RS |
352 | (arg) |
353 | register Lisp_Object arg; | |
b70021f4 | 354 | { |
4b6baf5f RS |
355 | double d = extract_float (arg); |
356 | #ifdef HAVE_CBRT | |
357 | IN_FLOAT (d = cbrt (d), "cube-root", arg); | |
358 | #else | |
359 | if (d >= 0.0) | |
360 | IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg); | |
361 | else | |
362 | IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg); | |
363 | #endif | |
b70021f4 MR |
364 | return make_float (d); |
365 | } | |
366 | ||
706ac90d RS |
367 | #endif |
368 | \f | |
c2d4ea74 RS |
369 | DEFUN ("exp", Fexp, Sexp, 1, 1, 0, |
370 | "Return the exponential base e of ARG.") | |
4b6baf5f RS |
371 | (arg) |
372 | register Lisp_Object arg; | |
373 | { | |
374 | double d = extract_float (arg); | |
375 | #ifdef FLOAT_CHECK_DOMAIN | |
376 | if (d > 709.7827) /* Assume IEEE doubles here */ | |
377 | range_error ("exp", arg); | |
378 | else if (d < -709.0) | |
379 | return make_float (0.0); | |
380 | else | |
381 | #endif | |
382 | IN_FLOAT (d = exp (d), "exp", arg); | |
b70021f4 MR |
383 | return make_float (d); |
384 | } | |
385 | ||
b70021f4 | 386 | DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0, |
c2d4ea74 | 387 | "Return the exponential X ** Y.") |
4b6baf5f RS |
388 | (arg1, arg2) |
389 | register Lisp_Object arg1, arg2; | |
b70021f4 MR |
390 | { |
391 | double f1, f2; | |
392 | ||
4b6baf5f RS |
393 | CHECK_NUMBER_OR_FLOAT (arg1, 0); |
394 | CHECK_NUMBER_OR_FLOAT (arg2, 0); | |
395 | if ((XTYPE (arg1) == Lisp_Int) && /* common lisp spec */ | |
396 | (XTYPE (arg2) == Lisp_Int)) /* don't promote, if both are ints */ | |
b70021f4 MR |
397 | { /* this can be improved by pre-calculating */ |
398 | int acc, x, y; /* some binary powers of x then acumulating */ | |
399 | /* these, therby saving some time. -wsr */ | |
4b6baf5f RS |
400 | x = XINT (arg1); |
401 | y = XINT (arg2); | |
b70021f4 MR |
402 | acc = 1; |
403 | ||
404 | if (y < 0) | |
405 | { | |
4b6baf5f RS |
406 | if (x == 1) |
407 | acc = 1; | |
408 | else if (x == -1) | |
409 | acc = (y & 1) ? -1 : 1; | |
410 | else | |
411 | acc = 0; | |
b70021f4 MR |
412 | } |
413 | else | |
414 | { | |
415 | for (; y > 0; y--) | |
4b6baf5f RS |
416 | while (y > 0) |
417 | { | |
418 | if (y & 1) | |
419 | acc *= x; | |
420 | x *= x; | |
421 | y = (unsigned)y >> 1; | |
422 | } | |
b70021f4 | 423 | } |
4b6baf5f | 424 | XSET (x, Lisp_Int, acc); |
1cee2045 | 425 | return x; |
b70021f4 | 426 | } |
4b6baf5f RS |
427 | f1 = (XTYPE (arg1) == Lisp_Float) ? XFLOAT (arg1)->data : XINT (arg1); |
428 | f2 = (XTYPE (arg2) == Lisp_Float) ? XFLOAT (arg2)->data : XINT (arg2); | |
429 | /* Really should check for overflow, too */ | |
430 | if (f1 == 0.0 && f2 == 0.0) | |
431 | f1 = 1.0; | |
432 | #ifdef FLOAT_CHECK_DOMAIN | |
433 | else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2))) | |
434 | domain_error2 ("expt", arg1, arg2); | |
435 | #endif | |
436 | IN_FLOAT (f1 = pow (f1, f2), "expt", arg1); | |
b70021f4 MR |
437 | return make_float (f1); |
438 | } | |
c2d4ea74 | 439 | |
56abb480 | 440 | DEFUN ("log", Flog, Slog, 1, 2, 0, |
4b6baf5f RS |
441 | "Return the natural logarithm of ARG.\n\ |
442 | If second optional argument BASE is given, return log ARG using that base.") | |
443 | (arg, base) | |
444 | register Lisp_Object arg, base; | |
b70021f4 | 445 | { |
4b6baf5f | 446 | double d = extract_float (arg); |
56abb480 | 447 | |
4b6baf5f RS |
448 | #ifdef FLOAT_CHECK_DOMAIN |
449 | if (d <= 0.0) | |
450 | domain_error2 ("log", arg, base); | |
451 | #endif | |
56abb480 | 452 | if (NILP (base)) |
4b6baf5f | 453 | IN_FLOAT (d = log (d), "log", arg); |
56abb480 JB |
454 | else |
455 | { | |
456 | double b = extract_float (base); | |
457 | ||
4b6baf5f RS |
458 | #ifdef FLOAT_CHECK_DOMAIN |
459 | if (b <= 0.0 || b == 1.0) | |
460 | domain_error2 ("log", arg, base); | |
461 | #endif | |
462 | if (b == 10.0) | |
463 | IN_FLOAT2 (d = log10 (d), "log", arg, base); | |
464 | else | |
465 | IN_FLOAT2 (d = log (arg) / log (b), "log", arg, base); | |
56abb480 | 466 | } |
b70021f4 MR |
467 | return make_float (d); |
468 | } | |
469 | ||
c2d4ea74 RS |
470 | DEFUN ("log10", Flog10, Slog10, 1, 1, 0, |
471 | "Return the logarithm base 10 of ARG.") | |
4b6baf5f RS |
472 | (arg) |
473 | register Lisp_Object arg; | |
b70021f4 | 474 | { |
4b6baf5f RS |
475 | double d = extract_float (arg); |
476 | #ifdef FLOAT_CHECK_DOMAIN | |
477 | if (d <= 0.0) | |
478 | domain_error ("log10", arg); | |
479 | #endif | |
480 | IN_FLOAT (d = log10 (d), "log10", arg); | |
c2d4ea74 RS |
481 | return make_float (d); |
482 | } | |
483 | ||
b70021f4 MR |
484 | DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0, |
485 | "Return the square root of ARG.") | |
4b6baf5f RS |
486 | (arg) |
487 | register Lisp_Object arg; | |
b70021f4 | 488 | { |
4b6baf5f RS |
489 | double d = extract_float (arg); |
490 | #ifdef FLOAT_CHECK_DOMAIN | |
491 | if (d < 0.0) | |
492 | domain_error ("sqrt", arg); | |
493 | #endif | |
494 | IN_FLOAT (d = sqrt (d), "sqrt", arg); | |
b70021f4 MR |
495 | return make_float (d); |
496 | } | |
c2d4ea74 | 497 | \f |
706ac90d | 498 | #if 0 /* Not clearly worth adding. */ |
b70021f4 | 499 | |
c2d4ea74 RS |
500 | DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0, |
501 | "Return the inverse hyperbolic cosine of ARG.") | |
4b6baf5f RS |
502 | (arg) |
503 | register Lisp_Object arg; | |
b70021f4 | 504 | { |
4b6baf5f RS |
505 | double d = extract_float (arg); |
506 | #ifdef FLOAT_CHECK_DOMAIN | |
507 | if (d < 1.0) | |
508 | domain_error ("acosh", arg); | |
509 | #endif | |
510 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
511 | IN_FLOAT (d = acosh (d), "acosh", arg); | |
512 | #else | |
513 | IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg); | |
514 | #endif | |
c2d4ea74 RS |
515 | return make_float (d); |
516 | } | |
517 | ||
518 | DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0, | |
519 | "Return the inverse hyperbolic sine of ARG.") | |
4b6baf5f RS |
520 | (arg) |
521 | register Lisp_Object arg; | |
c2d4ea74 | 522 | { |
4b6baf5f RS |
523 | double d = extract_float (arg); |
524 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
525 | IN_FLOAT (d = asinh (d), "asinh", arg); | |
526 | #else | |
527 | IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg); | |
528 | #endif | |
c2d4ea74 RS |
529 | return make_float (d); |
530 | } | |
531 | ||
532 | DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0, | |
533 | "Return the inverse hyperbolic tangent of ARG.") | |
4b6baf5f RS |
534 | (arg) |
535 | register Lisp_Object arg; | |
c2d4ea74 | 536 | { |
4b6baf5f RS |
537 | double d = extract_float (arg); |
538 | #ifdef FLOAT_CHECK_DOMAIN | |
539 | if (d >= 1.0 || d <= -1.0) | |
540 | domain_error ("atanh", arg); | |
541 | #endif | |
542 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
543 | IN_FLOAT (d = atanh (d), "atanh", arg); | |
544 | #else | |
545 | IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg); | |
546 | #endif | |
c2d4ea74 RS |
547 | return make_float (d); |
548 | } | |
549 | ||
550 | DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0, | |
551 | "Return the hyperbolic cosine of ARG.") | |
4b6baf5f RS |
552 | (arg) |
553 | register Lisp_Object arg; | |
c2d4ea74 | 554 | { |
4b6baf5f RS |
555 | double d = extract_float (arg); |
556 | #ifdef FLOAT_CHECK_DOMAIN | |
557 | if (d > 710.0 || d < -710.0) | |
558 | range_error ("cosh", arg); | |
559 | #endif | |
560 | IN_FLOAT (d = cosh (d), "cosh", arg); | |
c2d4ea74 RS |
561 | return make_float (d); |
562 | } | |
563 | ||
564 | DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0, | |
565 | "Return the hyperbolic sine of ARG.") | |
4b6baf5f RS |
566 | (arg) |
567 | register Lisp_Object arg; | |
c2d4ea74 | 568 | { |
4b6baf5f RS |
569 | double d = extract_float (arg); |
570 | #ifdef FLOAT_CHECK_DOMAIN | |
571 | if (d > 710.0 || d < -710.0) | |
572 | range_error ("sinh", arg); | |
573 | #endif | |
574 | IN_FLOAT (d = sinh (d), "sinh", arg); | |
b70021f4 MR |
575 | return make_float (d); |
576 | } | |
577 | ||
578 | DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0, | |
579 | "Return the hyperbolic tangent of ARG.") | |
4b6baf5f RS |
580 | (arg) |
581 | register Lisp_Object arg; | |
b70021f4 | 582 | { |
4b6baf5f RS |
583 | double d = extract_float (arg); |
584 | IN_FLOAT (d = tanh (d), "tanh", arg); | |
b70021f4 MR |
585 | return make_float (d); |
586 | } | |
c2d4ea74 | 587 | #endif |
b70021f4 MR |
588 | \f |
589 | DEFUN ("abs", Fabs, Sabs, 1, 1, 0, | |
590 | "Return the absolute value of ARG.") | |
4b6baf5f RS |
591 | (arg) |
592 | register Lisp_Object arg; | |
b70021f4 | 593 | { |
4b6baf5f | 594 | CHECK_NUMBER_OR_FLOAT (arg, 0); |
b70021f4 | 595 | |
4b6baf5f RS |
596 | if (XTYPE (arg) == Lisp_Float) |
597 | IN_FLOAT (arg = make_float (fabs (XFLOAT (arg)->data)), "abs", arg); | |
598 | else if (XINT (arg) < 0) | |
599 | XSETINT (arg, - XFASTINT (arg)); | |
b70021f4 | 600 | |
4b6baf5f | 601 | return arg; |
b70021f4 MR |
602 | } |
603 | ||
604 | DEFUN ("float", Ffloat, Sfloat, 1, 1, 0, | |
605 | "Return the floating point number equal to ARG.") | |
4b6baf5f RS |
606 | (arg) |
607 | register Lisp_Object arg; | |
b70021f4 | 608 | { |
4b6baf5f | 609 | CHECK_NUMBER_OR_FLOAT (arg, 0); |
b70021f4 | 610 | |
4b6baf5f RS |
611 | if (XTYPE (arg) == Lisp_Int) |
612 | return make_float ((double) XINT (arg)); | |
b70021f4 | 613 | else /* give 'em the same float back */ |
4b6baf5f | 614 | return arg; |
b70021f4 MR |
615 | } |
616 | ||
617 | DEFUN ("logb", Flogb, Slogb, 1, 1, 0, | |
340176df | 618 | "Returns the integer not greater than the base 2 log of the magnitude of ARG.\n\ |
b70021f4 | 619 | This is the same as the exponent of a float.") |
4b6baf5f RS |
620 | (arg) |
621 | Lisp_Object arg; | |
b70021f4 | 622 | { |
340176df JB |
623 | #ifdef USG |
624 | error ("SYSV apparently doesn't have a logb function; what to do?"); | |
625 | #else | |
626 | Lisp_Object val; | |
627 | double f = extract_float (num); | |
628 | ||
6628c5ea | 629 | IN_FLOAT (val = logb (f), "logb", num); |
340176df JB |
630 | XSET (val, Lisp_Int, val); |
631 | return val; | |
632 | #endif | |
b70021f4 MR |
633 | } |
634 | ||
635 | /* the rounding functions */ | |
636 | ||
637 | DEFUN ("ceiling", Fceiling, Sceiling, 1, 1, 0, | |
638 | "Return the smallest integer no less than ARG. (Round toward +inf.)") | |
4b6baf5f RS |
639 | (arg) |
640 | register Lisp_Object arg; | |
b70021f4 | 641 | { |
4b6baf5f | 642 | CHECK_NUMBER_OR_FLOAT (arg, 0); |
b70021f4 | 643 | |
4b6baf5f RS |
644 | if (XTYPE (arg) == Lisp_Float) |
645 | IN_FLOAT (XSET (arg, Lisp_Int, ceil (XFLOAT (arg)->data)), "celing", arg); | |
b70021f4 | 646 | |
4b6baf5f | 647 | return arg; |
b70021f4 MR |
648 | } |
649 | ||
650 | DEFUN ("floor", Ffloor, Sfloor, 1, 1, 0, | |
651 | "Return the largest integer no greater than ARG. (Round towards -inf.)") | |
4b6baf5f RS |
652 | (arg) |
653 | register Lisp_Object arg; | |
b70021f4 | 654 | { |
4b6baf5f | 655 | CHECK_NUMBER_OR_FLOAT (arg, 0); |
b70021f4 | 656 | |
4b6baf5f RS |
657 | if (XTYPE (arg) == Lisp_Float) |
658 | IN_FLOAT (XSET (arg, Lisp_Int, floor (XFLOAT (arg)->data)), "floor", arg); | |
b70021f4 | 659 | |
4b6baf5f | 660 | return arg; |
b70021f4 MR |
661 | } |
662 | ||
663 | DEFUN ("round", Fround, Sround, 1, 1, 0, | |
664 | "Return the nearest integer to ARG.") | |
4b6baf5f RS |
665 | (arg) |
666 | register Lisp_Object arg; | |
b70021f4 | 667 | { |
4b6baf5f | 668 | CHECK_NUMBER_OR_FLOAT (arg, 0); |
b70021f4 | 669 | |
4b6baf5f RS |
670 | if (XTYPE (arg) == Lisp_Float) |
671 | /* Screw the prevailing rounding mode. */ | |
672 | IN_FLOAT (XSET (arg, Lisp_Int, rint (XFLOAT (arg)->data)), "round", arg); | |
b70021f4 | 673 | |
4b6baf5f | 674 | return arg; |
b70021f4 MR |
675 | } |
676 | ||
677 | DEFUN ("truncate", Ftruncate, Struncate, 1, 1, 0, | |
678 | "Truncate a floating point number to an int.\n\ | |
679 | Rounds the value toward zero.") | |
4b6baf5f RS |
680 | (arg) |
681 | register Lisp_Object arg; | |
b70021f4 | 682 | { |
4b6baf5f | 683 | CHECK_NUMBER_OR_FLOAT (arg, 0); |
b70021f4 | 684 | |
4b6baf5f RS |
685 | if (XTYPE (arg) == Lisp_Float) |
686 | XSET (arg, Lisp_Int, (int) XFLOAT (arg)->data); | |
687 | ||
688 | return arg; | |
689 | } | |
690 | \f | |
691 | #if 0 | |
692 | /* It's not clear these are worth adding. */ | |
693 | ||
694 | DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0, | |
695 | "Return the smallest integer no less than ARG, as a float.\n\ | |
696 | \(Round toward +inf.\)") | |
697 | (arg) | |
698 | register Lisp_Object arg; | |
699 | { | |
700 | double d = extract_float (arg); | |
701 | IN_FLOAT (d = ceil (d), "fceiling", arg); | |
702 | return make_float (d); | |
703 | } | |
704 | ||
705 | DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0, | |
706 | "Return the largest integer no greater than ARG, as a float.\n\ | |
707 | \(Round towards -inf.\)") | |
708 | (arg) | |
709 | register Lisp_Object arg; | |
710 | { | |
711 | double d = extract_float (arg); | |
712 | IN_FLOAT (d = floor (d), "ffloor", arg); | |
713 | return make_float (d); | |
714 | } | |
b70021f4 | 715 | |
4b6baf5f RS |
716 | DEFUN ("fround", Ffround, Sfround, 1, 1, 0, |
717 | "Return the nearest integer to ARG, as a float.") | |
718 | (arg) | |
719 | register Lisp_Object arg; | |
720 | { | |
721 | double d = extract_float (arg); | |
722 | IN_FLOAT (d = rint (XFLOAT (arg)->data), "fround", arg); | |
723 | return make_float (d); | |
724 | } | |
725 | ||
726 | DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0, | |
727 | "Truncate a floating point number to an integral float value.\n\ | |
728 | Rounds the value toward zero.") | |
729 | (arg) | |
730 | register Lisp_Object arg; | |
731 | { | |
732 | double d = extract_float (arg); | |
733 | if (d >= 0.0) | |
734 | IN_FLOAT (d = floor (d), "ftruncate", arg); | |
735 | else | |
736 | IN_FLOAT (d = ceil (d), arg); | |
737 | return make_float (d); | |
b70021f4 | 738 | } |
4b6baf5f | 739 | #endif |
b70021f4 | 740 | \f |
4b6baf5f | 741 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 742 | static SIGTYPE |
b70021f4 MR |
743 | float_error (signo) |
744 | int signo; | |
745 | { | |
746 | if (! in_float) | |
747 | fatal_error_signal (signo); | |
748 | ||
265a9e55 | 749 | #ifdef BSD |
b70021f4 MR |
750 | #ifdef BSD4_1 |
751 | sigrelse (SIGILL); | |
752 | #else /* not BSD4_1 */ | |
e065a56e | 753 | sigsetmask (SIGEMPTYMASK); |
b70021f4 | 754 | #endif /* not BSD4_1 */ |
265a9e55 JB |
755 | #else |
756 | /* Must reestablish handler each time it is called. */ | |
757 | signal (SIGILL, float_error); | |
758 | #endif /* BSD */ | |
b70021f4 MR |
759 | |
760 | in_float = 0; | |
761 | ||
762 | Fsignal (Qarith_error, Fcons (float_error_arg, Qnil)); | |
763 | } | |
764 | ||
4b6baf5f RS |
765 | /* Another idea was to replace the library function `infnan' |
766 | where SIGILL is signaled. */ | |
767 | ||
768 | #endif /* FLOAT_CATCH_SIGILL */ | |
769 | ||
770 | #ifdef HAVE_MATHERR | |
771 | int | |
772 | matherr (x) | |
773 | struct exception *x; | |
774 | { | |
775 | Lisp_Object args; | |
776 | if (! in_float) | |
777 | /* Not called from emacs-lisp float routines; do the default thing. */ | |
778 | return 0; | |
779 | if (!strcmp (x->name, "pow")) | |
780 | x->name = "expt"; | |
781 | ||
782 | args | |
783 | = Fcons (build_string (x->name), | |
784 | Fcons (make_float (x->arg1), | |
785 | ((!strcmp (x->name, "log") || !strcmp (x->name, "pow")) | |
786 | ? Fcons (make_float (x->arg2), Qnil) | |
787 | : Qnil))); | |
788 | switch (x->type) | |
789 | { | |
790 | case DOMAIN: Fsignal (Qdomain_error, args); break; | |
791 | case SING: Fsignal (Qsingularity_error, args); break; | |
792 | case OVERFLOW: Fsignal (Qoverflow_error, args); break; | |
793 | case UNDERFLOW: Fsignal (Qunderflow_error, args); break; | |
794 | default: Fsignal (Qarith_error, args); break; | |
795 | } | |
796 | return (1); /* don't set errno or print a message */ | |
797 | } | |
798 | #endif /* HAVE_MATHERR */ | |
799 | ||
b70021f4 MR |
800 | init_floatfns () |
801 | { | |
4b6baf5f | 802 | #ifdef FLOAT_CATCH_SIGILL |
b70021f4 | 803 | signal (SIGILL, float_error); |
4b6baf5f | 804 | #endif |
b70021f4 MR |
805 | in_float = 0; |
806 | } | |
807 | ||
808 | syms_of_floatfns () | |
809 | { | |
810 | defsubr (&Sacos); | |
b70021f4 | 811 | defsubr (&Sasin); |
b70021f4 | 812 | defsubr (&Satan); |
c2d4ea74 RS |
813 | defsubr (&Scos); |
814 | defsubr (&Ssin); | |
815 | defsubr (&Stan); | |
816 | #if 0 | |
817 | defsubr (&Sacosh); | |
818 | defsubr (&Sasinh); | |
b70021f4 | 819 | defsubr (&Satanh); |
c2d4ea74 RS |
820 | defsubr (&Scosh); |
821 | defsubr (&Ssinh); | |
822 | defsubr (&Stanh); | |
b70021f4 MR |
823 | defsubr (&Sbessel_y0); |
824 | defsubr (&Sbessel_y1); | |
825 | defsubr (&Sbessel_yn); | |
826 | defsubr (&Sbessel_j0); | |
827 | defsubr (&Sbessel_j1); | |
828 | defsubr (&Sbessel_jn); | |
b70021f4 MR |
829 | defsubr (&Serf); |
830 | defsubr (&Serfc); | |
c2d4ea74 | 831 | defsubr (&Slog_gamma); |
4b6baf5f RS |
832 | defsubr (&Scube_root); |
833 | defsubr (&Sfceiling); | |
834 | defsubr (&Sffloor); | |
835 | defsubr (&Sfround); | |
836 | defsubr (&Sftruncate); | |
c2d4ea74 | 837 | #endif |
b70021f4 | 838 | defsubr (&Sexp); |
c2d4ea74 | 839 | defsubr (&Sexpt); |
b70021f4 MR |
840 | defsubr (&Slog); |
841 | defsubr (&Slog10); | |
b70021f4 | 842 | defsubr (&Ssqrt); |
b70021f4 MR |
843 | |
844 | defsubr (&Sabs); | |
845 | defsubr (&Sfloat); | |
846 | defsubr (&Slogb); | |
847 | defsubr (&Sceiling); | |
848 | defsubr (&Sfloor); | |
849 | defsubr (&Sround); | |
850 | defsubr (&Struncate); | |
851 | } | |
852 | ||
853 | #else /* not LISP_FLOAT_TYPE */ | |
854 | ||
855 | init_floatfns () | |
856 | {} | |
857 | ||
858 | syms_of_floatfns () | |
859 | {} | |
860 | ||
861 | #endif /* not LISP_FLOAT_TYPE */ |