Commit | Line | Data |
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b70021f4 | 1 | /* Primitive operations on floating point for GNU Emacs Lisp interpreter. |
429ab54e | 2 | Copyright (C) 1988, 1993, 1994, 1999, 2001, 2002, 2003, 2004, |
8cabe764 | 3 | 2005, 2006, 2007, 2008 Free Software Foundation, Inc. |
b70021f4 MR |
4 | |
5 | This file is part of GNU Emacs. | |
6 | ||
9ec0b715 | 7 | GNU Emacs is free software: you can redistribute it and/or modify |
b70021f4 | 8 | it under the terms of the GNU General Public License as published by |
9ec0b715 GM |
9 | the Free Software Foundation, either version 3 of the License, or |
10 | (at your option) any later version. | |
b70021f4 MR |
11 | |
12 | GNU Emacs is distributed in the hope that it will be useful, | |
13 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
14 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
15 | GNU General Public License for more details. | |
16 | ||
17 | You should have received a copy of the GNU General Public License | |
9ec0b715 | 18 | along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. */ |
b70021f4 MR |
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. | |
dca6c914 | 27 | Define HAVE_RINT if you have a working rint. |
4b6baf5f RS |
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 | |
8e6208c5 | 40 | either setting errno, or signaling SIGFPE/SIGILL. Otherwise, domain and |
4b6baf5f RS |
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 | ||
18160b98 | 46 | #include <config.h> |
68c45bf0 | 47 | #include <signal.h> |
523e9291 RS |
48 | #include "lisp.h" |
49 | #include "syssignal.h" | |
50 | ||
2f261542 PE |
51 | #if STDC_HEADERS |
52 | #include <float.h> | |
53 | #endif | |
54 | ||
d137ae2f PE |
55 | /* If IEEE_FLOATING_POINT isn't defined, default it from FLT_*. */ |
56 | #ifndef IEEE_FLOATING_POINT | |
57 | #if (FLT_RADIX == 2 && FLT_MANT_DIG == 24 \ | |
58 | && FLT_MIN_EXP == -125 && FLT_MAX_EXP == 128) | |
59 | #define IEEE_FLOATING_POINT 1 | |
60 | #else | |
61 | #define IEEE_FLOATING_POINT 0 | |
62 | #endif | |
63 | #endif | |
64 | ||
4cd7a373 RS |
65 | /* Work around a problem that happens because math.h on hpux 7 |
66 | defines two static variables--which, in Emacs, are not really static, | |
67 | because `static' is defined as nothing. The problem is that they are | |
68 | defined both here and in lread.c. | |
69 | These macros prevent the name conflict. */ | |
70 | #if defined (HPUX) && !defined (HPUX8) | |
71 | #define _MAXLDBL floatfns_maxldbl | |
72 | #define _NMAXLDBL floatfns_nmaxldbl | |
73 | #endif | |
74 | ||
b70021f4 | 75 | #include <math.h> |
4b6baf5f | 76 | |
32085e8e | 77 | /* This declaration is omitted on some systems, like Ultrix. */ |
7a4720e2 | 78 | #if !defined (HPUX) && defined (HAVE_LOGB) && !defined (logb) |
c26406fe | 79 | extern double logb (); |
7a4720e2 | 80 | #endif /* not HPUX and HAVE_LOGB and no logb macro */ |
c26406fe | 81 | |
4b6baf5f RS |
82 | #if defined(DOMAIN) && defined(SING) && defined(OVERFLOW) |
83 | /* If those are defined, then this is probably a `matherr' machine. */ | |
84 | # ifndef HAVE_MATHERR | |
85 | # define HAVE_MATHERR | |
86 | # endif | |
87 | #endif | |
88 | ||
c0f0a4a2 | 89 | #ifdef NO_MATHERR |
f89182a2 RS |
90 | #undef HAVE_MATHERR |
91 | #endif | |
92 | ||
4b6baf5f RS |
93 | #ifdef HAVE_MATHERR |
94 | # ifdef FLOAT_CHECK_ERRNO | |
95 | # undef FLOAT_CHECK_ERRNO | |
96 | # endif | |
97 | # ifdef FLOAT_CHECK_DOMAIN | |
98 | # undef FLOAT_CHECK_DOMAIN | |
99 | # endif | |
100 | #endif | |
101 | ||
102 | #ifndef NO_FLOAT_CHECK_ERRNO | |
103 | #define FLOAT_CHECK_ERRNO | |
104 | #endif | |
105 | ||
106 | #ifdef FLOAT_CHECK_ERRNO | |
107 | # include <errno.h> | |
265a9e55 | 108 | |
f12ef5eb | 109 | #ifndef USE_CRT_DLL |
265a9e55 | 110 | extern int errno; |
4b6baf5f | 111 | #endif |
f12ef5eb | 112 | #endif |
265a9e55 JB |
113 | |
114 | /* Avoid traps on VMS from sinh and cosh. | |
115 | All the other functions set errno instead. */ | |
116 | ||
117 | #ifdef VMS | |
118 | #undef cosh | |
119 | #undef sinh | |
120 | #define cosh(x) ((exp(x)+exp(-x))*0.5) | |
121 | #define sinh(x) ((exp(x)-exp(-x))*0.5) | |
122 | #endif /* VMS */ | |
123 | ||
311346bb | 124 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 125 | static SIGTYPE float_error (); |
311346bb | 126 | #endif |
b70021f4 MR |
127 | |
128 | /* Nonzero while executing in floating point. | |
129 | This tells float_error what to do. */ | |
130 | ||
131 | static int in_float; | |
132 | ||
133 | /* If an argument is out of range for a mathematical function, | |
21876236 RS |
134 | here is the actual argument value to use in the error message. |
135 | These variables are used only across the floating point library call | |
136 | so there is no need to staticpro them. */ | |
b70021f4 | 137 | |
4b6baf5f RS |
138 | static Lisp_Object float_error_arg, float_error_arg2; |
139 | ||
140 | static char *float_error_fn_name; | |
b70021f4 | 141 | |
265a9e55 JB |
142 | /* Evaluate the floating point expression D, recording NUM |
143 | as the original argument for error messages. | |
144 | D is normally an assignment expression. | |
f8d83099 JB |
145 | Handle errors which may result in signals or may set errno. |
146 | ||
147 | Note that float_error may be declared to return void, so you can't | |
148 | just cast the zero after the colon to (SIGTYPE) to make the types | |
149 | check properly. */ | |
265a9e55 | 150 | |
4b6baf5f RS |
151 | #ifdef FLOAT_CHECK_ERRNO |
152 | #define IN_FLOAT(d, name, num) \ | |
153 | do { \ | |
154 | float_error_arg = num; \ | |
155 | float_error_fn_name = name; \ | |
156 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
157 | switch (errno) { \ | |
158 | case 0: break; \ | |
159 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
160 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
161 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
162 | } \ | |
163 | } while (0) | |
164 | #define IN_FLOAT2(d, name, num, num2) \ | |
165 | do { \ | |
166 | float_error_arg = num; \ | |
167 | float_error_arg2 = num2; \ | |
168 | float_error_fn_name = name; \ | |
169 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
170 | switch (errno) { \ | |
171 | case 0: break; \ | |
172 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
173 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
174 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
175 | } \ | |
176 | } while (0) | |
177 | #else | |
f8131ed2 | 178 | #define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0) |
4b6baf5f RS |
179 | #define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0) |
180 | #endif | |
181 | ||
81a63ccc KH |
182 | /* Convert float to Lisp_Int if it fits, else signal a range error |
183 | using the given arguments. */ | |
184 | #define FLOAT_TO_INT(x, i, name, num) \ | |
185 | do \ | |
186 | { \ | |
29d823d6 | 187 | if (FIXNUM_OVERFLOW_P (x)) \ |
81a63ccc | 188 | range_error (name, num); \ |
e0cb2a68 | 189 | XSETINT (i, (EMACS_INT)(x)); \ |
81a63ccc KH |
190 | } \ |
191 | while (0) | |
192 | #define FLOAT_TO_INT2(x, i, name, num1, num2) \ | |
193 | do \ | |
194 | { \ | |
29d823d6 | 195 | if (FIXNUM_OVERFLOW_P (x)) \ |
81a63ccc | 196 | range_error2 (name, num1, num2); \ |
e0cb2a68 | 197 | XSETINT (i, (EMACS_INT)(x)); \ |
81a63ccc KH |
198 | } \ |
199 | while (0) | |
200 | ||
4b6baf5f | 201 | #define arith_error(op,arg) \ |
edef1631 | 202 | xsignal2 (Qarith_error, build_string ((op)), (arg)) |
4b6baf5f | 203 | #define range_error(op,arg) \ |
edef1631 | 204 | xsignal2 (Qrange_error, build_string ((op)), (arg)) |
81a63ccc | 205 | #define range_error2(op,a1,a2) \ |
edef1631 | 206 | xsignal3 (Qrange_error, build_string ((op)), (a1), (a2)) |
4b6baf5f | 207 | #define domain_error(op,arg) \ |
edef1631 | 208 | xsignal2 (Qdomain_error, build_string ((op)), (arg)) |
4b6baf5f | 209 | #define domain_error2(op,a1,a2) \ |
edef1631 | 210 | xsignal3 (Qdomain_error, build_string ((op)), (a1), (a2)) |
b70021f4 MR |
211 | |
212 | /* Extract a Lisp number as a `double', or signal an error. */ | |
213 | ||
214 | double | |
215 | extract_float (num) | |
216 | Lisp_Object num; | |
217 | { | |
b7826503 | 218 | CHECK_NUMBER_OR_FLOAT (num); |
b70021f4 | 219 | |
207a45c1 | 220 | if (FLOATP (num)) |
70949dac | 221 | return XFLOAT_DATA (num); |
b70021f4 MR |
222 | return (double) XINT (num); |
223 | } | |
c2d4ea74 RS |
224 | \f |
225 | /* Trig functions. */ | |
b70021f4 MR |
226 | |
227 | DEFUN ("acos", Facos, Sacos, 1, 1, 0, | |
335c5470 PJ |
228 | doc: /* Return the inverse cosine of ARG. */) |
229 | (arg) | |
4b6baf5f | 230 | register Lisp_Object arg; |
b70021f4 | 231 | { |
4b6baf5f RS |
232 | double d = extract_float (arg); |
233 | #ifdef FLOAT_CHECK_DOMAIN | |
234 | if (d > 1.0 || d < -1.0) | |
235 | domain_error ("acos", arg); | |
236 | #endif | |
237 | IN_FLOAT (d = acos (d), "acos", arg); | |
b70021f4 MR |
238 | return make_float (d); |
239 | } | |
240 | ||
c2d4ea74 | 241 | DEFUN ("asin", Fasin, Sasin, 1, 1, 0, |
335c5470 PJ |
242 | doc: /* Return the inverse sine of ARG. */) |
243 | (arg) | |
4b6baf5f | 244 | register Lisp_Object arg; |
b70021f4 | 245 | { |
4b6baf5f RS |
246 | double d = extract_float (arg); |
247 | #ifdef FLOAT_CHECK_DOMAIN | |
248 | if (d > 1.0 || d < -1.0) | |
249 | domain_error ("asin", arg); | |
250 | #endif | |
251 | IN_FLOAT (d = asin (d), "asin", arg); | |
b70021f4 MR |
252 | return make_float (d); |
253 | } | |
254 | ||
250ffca6 EZ |
255 | DEFUN ("atan", Fatan, Satan, 1, 2, 0, |
256 | doc: /* Return the inverse tangent of the arguments. | |
257 | If only one argument Y is given, return the inverse tangent of Y. | |
258 | If two arguments Y and X are given, return the inverse tangent of Y | |
259 | divided by X, i.e. the angle in radians between the vector (X, Y) | |
260 | and the x-axis. */) | |
261 | (y, x) | |
262 | register Lisp_Object y, x; | |
b70021f4 | 263 | { |
250ffca6 EZ |
264 | double d = extract_float (y); |
265 | ||
266 | if (NILP (x)) | |
267 | IN_FLOAT (d = atan (d), "atan", y); | |
268 | else | |
269 | { | |
270 | double d2 = extract_float (x); | |
271 | ||
272 | IN_FLOAT2 (d = atan2 (d, d2), "atan", y, x); | |
273 | } | |
b70021f4 MR |
274 | return make_float (d); |
275 | } | |
276 | ||
c2d4ea74 | 277 | DEFUN ("cos", Fcos, Scos, 1, 1, 0, |
335c5470 PJ |
278 | doc: /* Return the cosine of ARG. */) |
279 | (arg) | |
4b6baf5f | 280 | register Lisp_Object arg; |
b70021f4 | 281 | { |
4b6baf5f RS |
282 | double d = extract_float (arg); |
283 | IN_FLOAT (d = cos (d), "cos", arg); | |
b70021f4 MR |
284 | return make_float (d); |
285 | } | |
286 | ||
c2d4ea74 | 287 | DEFUN ("sin", Fsin, Ssin, 1, 1, 0, |
335c5470 PJ |
288 | doc: /* Return the sine of ARG. */) |
289 | (arg) | |
4b6baf5f | 290 | register Lisp_Object arg; |
b70021f4 | 291 | { |
4b6baf5f RS |
292 | double d = extract_float (arg); |
293 | IN_FLOAT (d = sin (d), "sin", arg); | |
b70021f4 MR |
294 | return make_float (d); |
295 | } | |
296 | ||
c2d4ea74 | 297 | DEFUN ("tan", Ftan, Stan, 1, 1, 0, |
335c5470 PJ |
298 | doc: /* Return the tangent of ARG. */) |
299 | (arg) | |
4b6baf5f RS |
300 | register Lisp_Object arg; |
301 | { | |
302 | double d = extract_float (arg); | |
303 | double c = cos (d); | |
304 | #ifdef FLOAT_CHECK_DOMAIN | |
305 | if (c == 0.0) | |
306 | domain_error ("tan", arg); | |
307 | #endif | |
308 | IN_FLOAT (d = sin (d) / c, "tan", arg); | |
b70021f4 MR |
309 | return make_float (d); |
310 | } | |
311 | \f | |
c2d4ea74 RS |
312 | #if 0 /* Leave these out unless we find there's a reason for them. */ |
313 | ||
b70021f4 | 314 | DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0, |
335c5470 PJ |
315 | doc: /* Return the bessel function j0 of ARG. */) |
316 | (arg) | |
4b6baf5f | 317 | register Lisp_Object arg; |
b70021f4 | 318 | { |
4b6baf5f RS |
319 | double d = extract_float (arg); |
320 | IN_FLOAT (d = j0 (d), "bessel-j0", arg); | |
b70021f4 MR |
321 | return make_float (d); |
322 | } | |
323 | ||
324 | DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0, | |
335c5470 PJ |
325 | doc: /* Return the bessel function j1 of ARG. */) |
326 | (arg) | |
4b6baf5f | 327 | register Lisp_Object arg; |
b70021f4 | 328 | { |
4b6baf5f RS |
329 | double d = extract_float (arg); |
330 | IN_FLOAT (d = j1 (d), "bessel-j1", arg); | |
b70021f4 MR |
331 | return make_float (d); |
332 | } | |
333 | ||
334 | DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0, | |
335c5470 PJ |
335 | doc: /* Return the order N bessel function output jn of ARG. |
336 | The first arg (the order) is truncated to an integer. */) | |
337 | (n, arg) | |
3e670702 | 338 | register Lisp_Object n, arg; |
b70021f4 | 339 | { |
3e670702 EN |
340 | int i1 = extract_float (n); |
341 | double f2 = extract_float (arg); | |
b70021f4 | 342 | |
3e670702 | 343 | IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", n); |
b70021f4 MR |
344 | return make_float (f2); |
345 | } | |
346 | ||
347 | DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0, | |
335c5470 PJ |
348 | doc: /* Return the bessel function y0 of ARG. */) |
349 | (arg) | |
4b6baf5f | 350 | register Lisp_Object arg; |
b70021f4 | 351 | { |
4b6baf5f RS |
352 | double d = extract_float (arg); |
353 | IN_FLOAT (d = y0 (d), "bessel-y0", arg); | |
b70021f4 MR |
354 | return make_float (d); |
355 | } | |
356 | ||
357 | DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0, | |
335c5470 PJ |
358 | doc: /* Return the bessel function y1 of ARG. */) |
359 | (arg) | |
4b6baf5f | 360 | register Lisp_Object arg; |
b70021f4 | 361 | { |
4b6baf5f RS |
362 | double d = extract_float (arg); |
363 | IN_FLOAT (d = y1 (d), "bessel-y0", arg); | |
b70021f4 MR |
364 | return make_float (d); |
365 | } | |
366 | ||
367 | DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0, | |
335c5470 PJ |
368 | doc: /* Return the order N bessel function output yn of ARG. |
369 | The first arg (the order) is truncated to an integer. */) | |
370 | (n, arg) | |
3e670702 | 371 | register Lisp_Object n, arg; |
b70021f4 | 372 | { |
3e670702 EN |
373 | int i1 = extract_float (n); |
374 | double f2 = extract_float (arg); | |
b70021f4 | 375 | |
3e670702 | 376 | IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", n); |
b70021f4 MR |
377 | return make_float (f2); |
378 | } | |
b70021f4 | 379 | |
c2d4ea74 RS |
380 | #endif |
381 | \f | |
382 | #if 0 /* Leave these out unless we see they are worth having. */ | |
b70021f4 MR |
383 | |
384 | DEFUN ("erf", Ferf, Serf, 1, 1, 0, | |
335c5470 PJ |
385 | doc: /* Return the mathematical error function of ARG. */) |
386 | (arg) | |
4b6baf5f | 387 | register Lisp_Object arg; |
b70021f4 | 388 | { |
4b6baf5f RS |
389 | double d = extract_float (arg); |
390 | IN_FLOAT (d = erf (d), "erf", arg); | |
b70021f4 MR |
391 | return make_float (d); |
392 | } | |
393 | ||
394 | DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0, | |
335c5470 PJ |
395 | doc: /* Return the complementary error function of ARG. */) |
396 | (arg) | |
4b6baf5f | 397 | register Lisp_Object arg; |
b70021f4 | 398 | { |
4b6baf5f RS |
399 | double d = extract_float (arg); |
400 | IN_FLOAT (d = erfc (d), "erfc", arg); | |
b70021f4 MR |
401 | return make_float (d); |
402 | } | |
403 | ||
b70021f4 | 404 | DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0, |
335c5470 PJ |
405 | doc: /* Return the log gamma of ARG. */) |
406 | (arg) | |
4b6baf5f | 407 | register Lisp_Object arg; |
b70021f4 | 408 | { |
4b6baf5f RS |
409 | double d = extract_float (arg); |
410 | IN_FLOAT (d = lgamma (d), "log-gamma", arg); | |
b70021f4 MR |
411 | return make_float (d); |
412 | } | |
413 | ||
4b6baf5f | 414 | DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0, |
335c5470 PJ |
415 | doc: /* Return the cube root of ARG. */) |
416 | (arg) | |
4b6baf5f | 417 | register Lisp_Object arg; |
b70021f4 | 418 | { |
4b6baf5f RS |
419 | double d = extract_float (arg); |
420 | #ifdef HAVE_CBRT | |
421 | IN_FLOAT (d = cbrt (d), "cube-root", arg); | |
422 | #else | |
423 | if (d >= 0.0) | |
424 | IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg); | |
425 | else | |
426 | IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg); | |
427 | #endif | |
b70021f4 MR |
428 | return make_float (d); |
429 | } | |
430 | ||
706ac90d RS |
431 | #endif |
432 | \f | |
c2d4ea74 | 433 | DEFUN ("exp", Fexp, Sexp, 1, 1, 0, |
335c5470 PJ |
434 | doc: /* Return the exponential base e of ARG. */) |
435 | (arg) | |
4b6baf5f RS |
436 | register Lisp_Object arg; |
437 | { | |
438 | double d = extract_float (arg); | |
439 | #ifdef FLOAT_CHECK_DOMAIN | |
440 | if (d > 709.7827) /* Assume IEEE doubles here */ | |
441 | range_error ("exp", arg); | |
442 | else if (d < -709.0) | |
443 | return make_float (0.0); | |
444 | else | |
445 | #endif | |
446 | IN_FLOAT (d = exp (d), "exp", arg); | |
b70021f4 MR |
447 | return make_float (d); |
448 | } | |
449 | ||
b70021f4 | 450 | DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0, |
335c5470 PJ |
451 | doc: /* Return the exponential ARG1 ** ARG2. */) |
452 | (arg1, arg2) | |
4b6baf5f | 453 | register Lisp_Object arg1, arg2; |
b70021f4 | 454 | { |
2742fe30 | 455 | double f1, f2, f3; |
b70021f4 | 456 | |
b7826503 PJ |
457 | CHECK_NUMBER_OR_FLOAT (arg1); |
458 | CHECK_NUMBER_OR_FLOAT (arg2); | |
207a45c1 | 459 | if (INTEGERP (arg1) /* common lisp spec */ |
5a9807a8 TTN |
460 | && INTEGERP (arg2) /* don't promote, if both are ints, and */ |
461 | && 0 <= XINT (arg2)) /* we are sure the result is not fractional */ | |
b70021f4 | 462 | { /* this can be improved by pre-calculating */ |
9a51b24a | 463 | EMACS_INT acc, x, y; /* some binary powers of x then accumulating */ |
4be1d460 RS |
464 | Lisp_Object val; |
465 | ||
4b6baf5f RS |
466 | x = XINT (arg1); |
467 | y = XINT (arg2); | |
b70021f4 | 468 | acc = 1; |
177c0ea7 | 469 | |
b70021f4 MR |
470 | if (y < 0) |
471 | { | |
4b6baf5f RS |
472 | if (x == 1) |
473 | acc = 1; | |
474 | else if (x == -1) | |
475 | acc = (y & 1) ? -1 : 1; | |
476 | else | |
477 | acc = 0; | |
b70021f4 MR |
478 | } |
479 | else | |
480 | { | |
4b6baf5f RS |
481 | while (y > 0) |
482 | { | |
483 | if (y & 1) | |
484 | acc *= x; | |
485 | x *= x; | |
486 | y = (unsigned)y >> 1; | |
487 | } | |
b70021f4 | 488 | } |
e0cb2a68 | 489 | XSETINT (val, acc); |
4be1d460 | 490 | return val; |
b70021f4 | 491 | } |
70949dac KR |
492 | f1 = FLOATP (arg1) ? XFLOAT_DATA (arg1) : XINT (arg1); |
493 | f2 = FLOATP (arg2) ? XFLOAT_DATA (arg2) : XINT (arg2); | |
4b6baf5f RS |
494 | /* Really should check for overflow, too */ |
495 | if (f1 == 0.0 && f2 == 0.0) | |
496 | f1 = 1.0; | |
497 | #ifdef FLOAT_CHECK_DOMAIN | |
498 | else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2))) | |
499 | domain_error2 ("expt", arg1, arg2); | |
500 | #endif | |
2742fe30 MC |
501 | IN_FLOAT2 (f3 = pow (f1, f2), "expt", arg1, arg2); |
502 | /* Check for overflow in the result. */ | |
503 | if (f1 != 0.0 && f3 == 0.0) | |
504 | range_error ("expt", arg1); | |
505 | return make_float (f3); | |
b70021f4 | 506 | } |
c2d4ea74 | 507 | |
56abb480 | 508 | DEFUN ("log", Flog, Slog, 1, 2, 0, |
335c5470 | 509 | doc: /* Return the natural logarithm of ARG. |
356e6d8d | 510 | If the optional argument BASE is given, return log ARG using that base. */) |
335c5470 | 511 | (arg, base) |
4b6baf5f | 512 | register Lisp_Object arg, base; |
b70021f4 | 513 | { |
4b6baf5f | 514 | double d = extract_float (arg); |
56abb480 | 515 | |
4b6baf5f RS |
516 | #ifdef FLOAT_CHECK_DOMAIN |
517 | if (d <= 0.0) | |
518 | domain_error2 ("log", arg, base); | |
519 | #endif | |
56abb480 | 520 | if (NILP (base)) |
4b6baf5f | 521 | IN_FLOAT (d = log (d), "log", arg); |
56abb480 JB |
522 | else |
523 | { | |
524 | double b = extract_float (base); | |
525 | ||
4b6baf5f RS |
526 | #ifdef FLOAT_CHECK_DOMAIN |
527 | if (b <= 0.0 || b == 1.0) | |
528 | domain_error2 ("log", arg, base); | |
529 | #endif | |
530 | if (b == 10.0) | |
531 | IN_FLOAT2 (d = log10 (d), "log", arg, base); | |
532 | else | |
f8131ed2 | 533 | IN_FLOAT2 (d = log (d) / log (b), "log", arg, base); |
56abb480 | 534 | } |
b70021f4 MR |
535 | return make_float (d); |
536 | } | |
537 | ||
c2d4ea74 | 538 | DEFUN ("log10", Flog10, Slog10, 1, 1, 0, |
335c5470 PJ |
539 | doc: /* Return the logarithm base 10 of ARG. */) |
540 | (arg) | |
4b6baf5f | 541 | register Lisp_Object arg; |
b70021f4 | 542 | { |
4b6baf5f RS |
543 | double d = extract_float (arg); |
544 | #ifdef FLOAT_CHECK_DOMAIN | |
545 | if (d <= 0.0) | |
546 | domain_error ("log10", arg); | |
547 | #endif | |
548 | IN_FLOAT (d = log10 (d), "log10", arg); | |
c2d4ea74 RS |
549 | return make_float (d); |
550 | } | |
551 | ||
b70021f4 | 552 | DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0, |
335c5470 PJ |
553 | doc: /* Return the square root of ARG. */) |
554 | (arg) | |
4b6baf5f | 555 | register Lisp_Object arg; |
b70021f4 | 556 | { |
4b6baf5f RS |
557 | double d = extract_float (arg); |
558 | #ifdef FLOAT_CHECK_DOMAIN | |
559 | if (d < 0.0) | |
560 | domain_error ("sqrt", arg); | |
561 | #endif | |
562 | IN_FLOAT (d = sqrt (d), "sqrt", arg); | |
b70021f4 MR |
563 | return make_float (d); |
564 | } | |
c2d4ea74 | 565 | \f |
706ac90d | 566 | #if 0 /* Not clearly worth adding. */ |
b70021f4 | 567 | |
c2d4ea74 | 568 | DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0, |
335c5470 PJ |
569 | doc: /* Return the inverse hyperbolic cosine of ARG. */) |
570 | (arg) | |
4b6baf5f | 571 | register Lisp_Object arg; |
b70021f4 | 572 | { |
4b6baf5f RS |
573 | double d = extract_float (arg); |
574 | #ifdef FLOAT_CHECK_DOMAIN | |
575 | if (d < 1.0) | |
576 | domain_error ("acosh", arg); | |
577 | #endif | |
578 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
579 | IN_FLOAT (d = acosh (d), "acosh", arg); | |
580 | #else | |
581 | IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg); | |
582 | #endif | |
c2d4ea74 RS |
583 | return make_float (d); |
584 | } | |
585 | ||
586 | DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0, | |
335c5470 PJ |
587 | doc: /* Return the inverse hyperbolic sine of ARG. */) |
588 | (arg) | |
4b6baf5f | 589 | register Lisp_Object arg; |
c2d4ea74 | 590 | { |
4b6baf5f RS |
591 | double d = extract_float (arg); |
592 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
593 | IN_FLOAT (d = asinh (d), "asinh", arg); | |
594 | #else | |
595 | IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg); | |
596 | #endif | |
c2d4ea74 RS |
597 | return make_float (d); |
598 | } | |
599 | ||
600 | DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0, | |
335c5470 PJ |
601 | doc: /* Return the inverse hyperbolic tangent of ARG. */) |
602 | (arg) | |
4b6baf5f | 603 | register Lisp_Object arg; |
c2d4ea74 | 604 | { |
4b6baf5f RS |
605 | double d = extract_float (arg); |
606 | #ifdef FLOAT_CHECK_DOMAIN | |
607 | if (d >= 1.0 || d <= -1.0) | |
608 | domain_error ("atanh", arg); | |
609 | #endif | |
610 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
611 | IN_FLOAT (d = atanh (d), "atanh", arg); | |
612 | #else | |
613 | IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg); | |
614 | #endif | |
c2d4ea74 RS |
615 | return make_float (d); |
616 | } | |
617 | ||
618 | DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0, | |
335c5470 PJ |
619 | doc: /* Return the hyperbolic cosine of ARG. */) |
620 | (arg) | |
4b6baf5f | 621 | register Lisp_Object arg; |
c2d4ea74 | 622 | { |
4b6baf5f RS |
623 | double d = extract_float (arg); |
624 | #ifdef FLOAT_CHECK_DOMAIN | |
625 | if (d > 710.0 || d < -710.0) | |
626 | range_error ("cosh", arg); | |
627 | #endif | |
628 | IN_FLOAT (d = cosh (d), "cosh", arg); | |
c2d4ea74 RS |
629 | return make_float (d); |
630 | } | |
631 | ||
632 | DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0, | |
335c5470 PJ |
633 | doc: /* Return the hyperbolic sine of ARG. */) |
634 | (arg) | |
4b6baf5f | 635 | register Lisp_Object arg; |
c2d4ea74 | 636 | { |
4b6baf5f RS |
637 | double d = extract_float (arg); |
638 | #ifdef FLOAT_CHECK_DOMAIN | |
639 | if (d > 710.0 || d < -710.0) | |
640 | range_error ("sinh", arg); | |
641 | #endif | |
642 | IN_FLOAT (d = sinh (d), "sinh", arg); | |
b70021f4 MR |
643 | return make_float (d); |
644 | } | |
645 | ||
646 | DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0, | |
335c5470 PJ |
647 | doc: /* Return the hyperbolic tangent of ARG. */) |
648 | (arg) | |
4b6baf5f | 649 | register Lisp_Object arg; |
b70021f4 | 650 | { |
4b6baf5f RS |
651 | double d = extract_float (arg); |
652 | IN_FLOAT (d = tanh (d), "tanh", arg); | |
b70021f4 MR |
653 | return make_float (d); |
654 | } | |
c2d4ea74 | 655 | #endif |
b70021f4 MR |
656 | \f |
657 | DEFUN ("abs", Fabs, Sabs, 1, 1, 0, | |
335c5470 PJ |
658 | doc: /* Return the absolute value of ARG. */) |
659 | (arg) | |
4b6baf5f | 660 | register Lisp_Object arg; |
b70021f4 | 661 | { |
b7826503 | 662 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 663 | |
207a45c1 | 664 | if (FLOATP (arg)) |
70949dac | 665 | IN_FLOAT (arg = make_float (fabs (XFLOAT_DATA (arg))), "abs", arg); |
4b6baf5f | 666 | else if (XINT (arg) < 0) |
db37cb37 | 667 | XSETINT (arg, - XINT (arg)); |
b70021f4 | 668 | |
4b6baf5f | 669 | return arg; |
b70021f4 MR |
670 | } |
671 | ||
672 | DEFUN ("float", Ffloat, Sfloat, 1, 1, 0, | |
335c5470 PJ |
673 | doc: /* Return the floating point number equal to ARG. */) |
674 | (arg) | |
4b6baf5f | 675 | register Lisp_Object arg; |
b70021f4 | 676 | { |
b7826503 | 677 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 678 | |
207a45c1 | 679 | if (INTEGERP (arg)) |
4b6baf5f | 680 | return make_float ((double) XINT (arg)); |
b70021f4 | 681 | else /* give 'em the same float back */ |
4b6baf5f | 682 | return arg; |
b70021f4 MR |
683 | } |
684 | ||
685 | DEFUN ("logb", Flogb, Slogb, 1, 1, 0, | |
335c5470 PJ |
686 | doc: /* Returns largest integer <= the base 2 log of the magnitude of ARG. |
687 | This is the same as the exponent of a float. */) | |
4b6baf5f RS |
688 | (arg) |
689 | Lisp_Object arg; | |
b70021f4 | 690 | { |
340176df | 691 | Lisp_Object val; |
a7bf3c54 | 692 | EMACS_INT value; |
5bf54166 | 693 | double f = extract_float (arg); |
340176df | 694 | |
6694b327 | 695 | if (f == 0.0) |
b916d672 | 696 | value = MOST_NEGATIVE_FIXNUM; |
6694b327 KH |
697 | else |
698 | { | |
6d3c6adb | 699 | #ifdef HAVE_LOGB |
6694b327 | 700 | IN_FLOAT (value = logb (f), "logb", arg); |
6d3c6adb JB |
701 | #else |
702 | #ifdef HAVE_FREXP | |
c8bf6cf3 KH |
703 | int ivalue; |
704 | IN_FLOAT (frexp (f, &ivalue), "logb", arg); | |
705 | value = ivalue - 1; | |
c26406fe | 706 | #else |
6694b327 KH |
707 | int i; |
708 | double d; | |
709 | if (f < 0.0) | |
710 | f = -f; | |
711 | value = -1; | |
712 | while (f < 0.5) | |
713 | { | |
714 | for (i = 1, d = 0.5; d * d >= f; i += i) | |
715 | d *= d; | |
716 | f /= d; | |
717 | value -= i; | |
718 | } | |
719 | while (f >= 1.0) | |
720 | { | |
721 | for (i = 1, d = 2.0; d * d <= f; i += i) | |
722 | d *= d; | |
723 | f /= d; | |
724 | value += i; | |
725 | } | |
6d3c6adb | 726 | #endif |
340176df | 727 | #endif |
6694b327 | 728 | } |
e0cb2a68 | 729 | XSETINT (val, value); |
c26406fe | 730 | return val; |
b70021f4 MR |
731 | } |
732 | ||
fc2157cb | 733 | |
acbbacbe PE |
734 | /* the rounding functions */ |
735 | ||
736 | static Lisp_Object | |
737 | rounding_driver (arg, divisor, double_round, int_round2, name) | |
fc2157cb | 738 | register Lisp_Object arg, divisor; |
acbbacbe PE |
739 | double (*double_round) (); |
740 | EMACS_INT (*int_round2) (); | |
741 | char *name; | |
b70021f4 | 742 | { |
b7826503 | 743 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 744 | |
fc2157cb PE |
745 | if (! NILP (divisor)) |
746 | { | |
9a51b24a | 747 | EMACS_INT i1, i2; |
fc2157cb | 748 | |
b7826503 | 749 | CHECK_NUMBER_OR_FLOAT (divisor); |
fc2157cb | 750 | |
207a45c1 | 751 | if (FLOATP (arg) || FLOATP (divisor)) |
fc2157cb PE |
752 | { |
753 | double f1, f2; | |
754 | ||
70949dac KR |
755 | f1 = FLOATP (arg) ? XFLOAT_DATA (arg) : XINT (arg); |
756 | f2 = (FLOATP (divisor) ? XFLOAT_DATA (divisor) : XINT (divisor)); | |
d137ae2f | 757 | if (! IEEE_FLOATING_POINT && f2 == 0) |
edef1631 | 758 | xsignal0 (Qarith_error); |
fc2157cb | 759 | |
acbbacbe PE |
760 | IN_FLOAT2 (f1 = (*double_round) (f1 / f2), name, arg, divisor); |
761 | FLOAT_TO_INT2 (f1, arg, name, arg, divisor); | |
fc2157cb PE |
762 | return arg; |
763 | } | |
fc2157cb PE |
764 | |
765 | i1 = XINT (arg); | |
766 | i2 = XINT (divisor); | |
767 | ||
768 | if (i2 == 0) | |
edef1631 | 769 | xsignal0 (Qarith_error); |
fc2157cb | 770 | |
acbbacbe | 771 | XSETINT (arg, (*int_round2) (i1, i2)); |
fc2157cb PE |
772 | return arg; |
773 | } | |
774 | ||
207a45c1 | 775 | if (FLOATP (arg)) |
81a63ccc KH |
776 | { |
777 | double d; | |
acbbacbe | 778 | |
70949dac | 779 | IN_FLOAT (d = (*double_round) (XFLOAT_DATA (arg)), name, arg); |
acbbacbe | 780 | FLOAT_TO_INT (d, arg, name, arg); |
81a63ccc | 781 | } |
b70021f4 | 782 | |
4b6baf5f | 783 | return arg; |
b70021f4 MR |
784 | } |
785 | ||
acbbacbe PE |
786 | /* With C's /, the result is implementation-defined if either operand |
787 | is negative, so take care with negative operands in the following | |
788 | integer functions. */ | |
789 | ||
790 | static EMACS_INT | |
791 | ceiling2 (i1, i2) | |
792 | EMACS_INT i1, i2; | |
793 | { | |
794 | return (i2 < 0 | |
795 | ? (i1 < 0 ? ((-1 - i1) / -i2) + 1 : - (i1 / -i2)) | |
796 | : (i1 <= 0 ? - (-i1 / i2) : ((i1 - 1) / i2) + 1)); | |
797 | } | |
798 | ||
799 | static EMACS_INT | |
800 | floor2 (i1, i2) | |
801 | EMACS_INT i1, i2; | |
802 | { | |
803 | return (i2 < 0 | |
804 | ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2)) | |
805 | : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2)); | |
806 | } | |
807 | ||
808 | static EMACS_INT | |
809 | truncate2 (i1, i2) | |
810 | EMACS_INT i1, i2; | |
811 | { | |
812 | return (i2 < 0 | |
813 | ? (i1 < 0 ? -i1 / -i2 : - (i1 / -i2)) | |
814 | : (i1 < 0 ? - (-i1 / i2) : i1 / i2)); | |
815 | } | |
816 | ||
817 | static EMACS_INT | |
818 | round2 (i1, i2) | |
819 | EMACS_INT i1, i2; | |
820 | { | |
821 | /* The C language's division operator gives us one remainder R, but | |
822 | we want the remainder R1 on the other side of 0 if R1 is closer | |
823 | to 0 than R is; because we want to round to even, we also want R1 | |
824 | if R and R1 are the same distance from 0 and if C's quotient is | |
825 | odd. */ | |
826 | EMACS_INT q = i1 / i2; | |
827 | EMACS_INT r = i1 % i2; | |
828 | EMACS_INT abs_r = r < 0 ? -r : r; | |
829 | EMACS_INT abs_r1 = (i2 < 0 ? -i2 : i2) - abs_r; | |
830 | return q + (abs_r + (q & 1) <= abs_r1 ? 0 : (i2 ^ r) < 0 ? -1 : 1); | |
831 | } | |
832 | ||
dca6c914 RS |
833 | /* The code uses emacs_rint, so that it works to undefine HAVE_RINT |
834 | if `rint' exists but does not work right. */ | |
835 | #ifdef HAVE_RINT | |
836 | #define emacs_rint rint | |
837 | #else | |
4b5878a8 | 838 | static double |
dca6c914 | 839 | emacs_rint (d) |
4b5878a8 KH |
840 | double d; |
841 | { | |
1b65c684 | 842 | return floor (d + 0.5); |
4b5878a8 KH |
843 | } |
844 | #endif | |
845 | ||
acbbacbe PE |
846 | static double |
847 | double_identity (d) | |
848 | double d; | |
849 | { | |
850 | return d; | |
851 | } | |
852 | ||
853 | DEFUN ("ceiling", Fceiling, Sceiling, 1, 2, 0, | |
1d6ea92f RS |
854 | doc: /* Return the smallest integer no less than ARG. |
855 | This rounds the value towards +inf. | |
335c5470 PJ |
856 | With optional DIVISOR, return the smallest integer no less than ARG/DIVISOR. */) |
857 | (arg, divisor) | |
acbbacbe PE |
858 | Lisp_Object arg, divisor; |
859 | { | |
860 | return rounding_driver (arg, divisor, ceil, ceiling2, "ceiling"); | |
861 | } | |
862 | ||
863 | DEFUN ("floor", Ffloor, Sfloor, 1, 2, 0, | |
1d6ea92f | 864 | doc: /* Return the largest integer no greater than ARG. |
568b6e41 | 865 | This rounds the value towards -inf. |
335c5470 PJ |
866 | With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR. */) |
867 | (arg, divisor) | |
acbbacbe PE |
868 | Lisp_Object arg, divisor; |
869 | { | |
870 | return rounding_driver (arg, divisor, floor, floor2, "floor"); | |
871 | } | |
872 | ||
873 | DEFUN ("round", Fround, Sround, 1, 2, 0, | |
335c5470 | 874 | doc: /* Return the nearest integer to ARG. |
6ded2c89 EZ |
875 | With optional DIVISOR, return the nearest integer to ARG/DIVISOR. |
876 | ||
a32a4857 EZ |
877 | Rounding a value equidistant between two integers may choose the |
878 | integer closer to zero, or it may prefer an even integer, depending on | |
879 | your machine. For example, \(round 2.5\) can return 3 on some | |
59fe0cee | 880 | systems, but 2 on others. */) |
335c5470 | 881 | (arg, divisor) |
acbbacbe PE |
882 | Lisp_Object arg, divisor; |
883 | { | |
dca6c914 | 884 | return rounding_driver (arg, divisor, emacs_rint, round2, "round"); |
acbbacbe PE |
885 | } |
886 | ||
887 | DEFUN ("truncate", Ftruncate, Struncate, 1, 2, 0, | |
335c5470 PJ |
888 | doc: /* Truncate a floating point number to an int. |
889 | Rounds ARG toward zero. | |
890 | With optional DIVISOR, truncate ARG/DIVISOR. */) | |
891 | (arg, divisor) | |
acbbacbe PE |
892 | Lisp_Object arg, divisor; |
893 | { | |
894 | return rounding_driver (arg, divisor, double_identity, truncate2, | |
895 | "truncate"); | |
896 | } | |
897 | ||
fc2157cb | 898 | |
d137ae2f PE |
899 | Lisp_Object |
900 | fmod_float (x, y) | |
901 | register Lisp_Object x, y; | |
902 | { | |
903 | double f1, f2; | |
904 | ||
70949dac KR |
905 | f1 = FLOATP (x) ? XFLOAT_DATA (x) : XINT (x); |
906 | f2 = FLOATP (y) ? XFLOAT_DATA (y) : XINT (y); | |
d137ae2f PE |
907 | |
908 | if (! IEEE_FLOATING_POINT && f2 == 0) | |
edef1631 | 909 | xsignal0 (Qarith_error); |
d137ae2f PE |
910 | |
911 | /* If the "remainder" comes out with the wrong sign, fix it. */ | |
912 | IN_FLOAT2 ((f1 = fmod (f1, f2), | |
913 | f1 = (f2 < 0 ? f1 > 0 : f1 < 0) ? f1 + f2 : f1), | |
914 | "mod", x, y); | |
915 | return make_float (f1); | |
916 | } | |
4b6baf5f | 917 | \f |
4b6baf5f RS |
918 | /* It's not clear these are worth adding. */ |
919 | ||
920 | DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0, | |
335c5470 PJ |
921 | doc: /* Return the smallest integer no less than ARG, as a float. |
922 | \(Round toward +inf.\) */) | |
923 | (arg) | |
4b6baf5f RS |
924 | register Lisp_Object arg; |
925 | { | |
926 | double d = extract_float (arg); | |
927 | IN_FLOAT (d = ceil (d), "fceiling", arg); | |
928 | return make_float (d); | |
929 | } | |
930 | ||
931 | DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0, | |
335c5470 PJ |
932 | doc: /* Return the largest integer no greater than ARG, as a float. |
933 | \(Round towards -inf.\) */) | |
934 | (arg) | |
4b6baf5f RS |
935 | register Lisp_Object arg; |
936 | { | |
937 | double d = extract_float (arg); | |
938 | IN_FLOAT (d = floor (d), "ffloor", arg); | |
939 | return make_float (d); | |
940 | } | |
b70021f4 | 941 | |
4b6baf5f | 942 | DEFUN ("fround", Ffround, Sfround, 1, 1, 0, |
335c5470 PJ |
943 | doc: /* Return the nearest integer to ARG, as a float. */) |
944 | (arg) | |
4b6baf5f RS |
945 | register Lisp_Object arg; |
946 | { | |
947 | double d = extract_float (arg); | |
dca6c914 | 948 | IN_FLOAT (d = emacs_rint (d), "fround", arg); |
4b6baf5f RS |
949 | return make_float (d); |
950 | } | |
951 | ||
952 | DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0, | |
335c5470 PJ |
953 | doc: /* Truncate a floating point number to an integral float value. |
954 | Rounds the value toward zero. */) | |
955 | (arg) | |
4b6baf5f RS |
956 | register Lisp_Object arg; |
957 | { | |
958 | double d = extract_float (arg); | |
959 | if (d >= 0.0) | |
960 | IN_FLOAT (d = floor (d), "ftruncate", arg); | |
961 | else | |
a3fc5236 | 962 | IN_FLOAT (d = ceil (d), "ftruncate", arg); |
4b6baf5f | 963 | return make_float (d); |
b70021f4 MR |
964 | } |
965 | \f | |
4b6baf5f | 966 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 967 | static SIGTYPE |
b70021f4 MR |
968 | float_error (signo) |
969 | int signo; | |
970 | { | |
971 | if (! in_float) | |
972 | fatal_error_signal (signo); | |
973 | ||
6df54671 | 974 | #ifdef BSD_SYSTEM |
b70021f4 MR |
975 | #ifdef BSD4_1 |
976 | sigrelse (SIGILL); | |
977 | #else /* not BSD4_1 */ | |
e065a56e | 978 | sigsetmask (SIGEMPTYMASK); |
b70021f4 | 979 | #endif /* not BSD4_1 */ |
265a9e55 JB |
980 | #else |
981 | /* Must reestablish handler each time it is called. */ | |
982 | signal (SIGILL, float_error); | |
6df54671 | 983 | #endif /* BSD_SYSTEM */ |
b70021f4 | 984 | |
333f1b6f | 985 | SIGNAL_THREAD_CHECK (signo); |
b70021f4 MR |
986 | in_float = 0; |
987 | ||
edef1631 | 988 | xsignal1 (Qarith_error, float_error_arg); |
b70021f4 MR |
989 | } |
990 | ||
4b6baf5f RS |
991 | /* Another idea was to replace the library function `infnan' |
992 | where SIGILL is signaled. */ | |
993 | ||
994 | #endif /* FLOAT_CATCH_SIGILL */ | |
995 | ||
996 | #ifdef HAVE_MATHERR | |
177c0ea7 | 997 | int |
4b6baf5f RS |
998 | matherr (x) |
999 | struct exception *x; | |
1000 | { | |
1001 | Lisp_Object args; | |
1002 | if (! in_float) | |
1003 | /* Not called from emacs-lisp float routines; do the default thing. */ | |
1004 | return 0; | |
1005 | if (!strcmp (x->name, "pow")) | |
1006 | x->name = "expt"; | |
1007 | ||
1008 | args | |
1009 | = Fcons (build_string (x->name), | |
1010 | Fcons (make_float (x->arg1), | |
1011 | ((!strcmp (x->name, "log") || !strcmp (x->name, "pow")) | |
1012 | ? Fcons (make_float (x->arg2), Qnil) | |
1013 | : Qnil))); | |
1014 | switch (x->type) | |
1015 | { | |
edef1631 KS |
1016 | case DOMAIN: xsignal (Qdomain_error, args); break; |
1017 | case SING: xsignal (Qsingularity_error, args); break; | |
1018 | case OVERFLOW: xsignal (Qoverflow_error, args); break; | |
1019 | case UNDERFLOW: xsignal (Qunderflow_error, args); break; | |
1020 | default: xsignal (Qarith_error, args); break; | |
4b6baf5f RS |
1021 | } |
1022 | return (1); /* don't set errno or print a message */ | |
1023 | } | |
1024 | #endif /* HAVE_MATHERR */ | |
1025 | ||
dfcf069d | 1026 | void |
b70021f4 MR |
1027 | init_floatfns () |
1028 | { | |
4b6baf5f | 1029 | #ifdef FLOAT_CATCH_SIGILL |
b70021f4 | 1030 | signal (SIGILL, float_error); |
177c0ea7 | 1031 | #endif |
b70021f4 MR |
1032 | in_float = 0; |
1033 | } | |
1034 | ||
dfcf069d | 1035 | void |
b70021f4 MR |
1036 | syms_of_floatfns () |
1037 | { | |
1038 | defsubr (&Sacos); | |
b70021f4 | 1039 | defsubr (&Sasin); |
b70021f4 | 1040 | defsubr (&Satan); |
c2d4ea74 RS |
1041 | defsubr (&Scos); |
1042 | defsubr (&Ssin); | |
1043 | defsubr (&Stan); | |
1044 | #if 0 | |
1045 | defsubr (&Sacosh); | |
1046 | defsubr (&Sasinh); | |
b70021f4 | 1047 | defsubr (&Satanh); |
c2d4ea74 RS |
1048 | defsubr (&Scosh); |
1049 | defsubr (&Ssinh); | |
1050 | defsubr (&Stanh); | |
b70021f4 MR |
1051 | defsubr (&Sbessel_y0); |
1052 | defsubr (&Sbessel_y1); | |
1053 | defsubr (&Sbessel_yn); | |
1054 | defsubr (&Sbessel_j0); | |
1055 | defsubr (&Sbessel_j1); | |
1056 | defsubr (&Sbessel_jn); | |
b70021f4 MR |
1057 | defsubr (&Serf); |
1058 | defsubr (&Serfc); | |
c2d4ea74 | 1059 | defsubr (&Slog_gamma); |
4b6baf5f | 1060 | defsubr (&Scube_root); |
892ed7e0 | 1061 | #endif |
4b6baf5f RS |
1062 | defsubr (&Sfceiling); |
1063 | defsubr (&Sffloor); | |
1064 | defsubr (&Sfround); | |
1065 | defsubr (&Sftruncate); | |
b70021f4 | 1066 | defsubr (&Sexp); |
c2d4ea74 | 1067 | defsubr (&Sexpt); |
b70021f4 MR |
1068 | defsubr (&Slog); |
1069 | defsubr (&Slog10); | |
b70021f4 | 1070 | defsubr (&Ssqrt); |
b70021f4 MR |
1071 | |
1072 | defsubr (&Sabs); | |
1073 | defsubr (&Sfloat); | |
1074 | defsubr (&Slogb); | |
1075 | defsubr (&Sceiling); | |
acbbacbe | 1076 | defsubr (&Sfloor); |
b70021f4 MR |
1077 | defsubr (&Sround); |
1078 | defsubr (&Struncate); | |
1079 | } | |
ab5796a9 MB |
1080 | |
1081 | /* arch-tag: be05bf9d-049e-4e31-91b9-e6153d483ae7 | |
1082 | (do not change this comment) */ |