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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, |
114f9c96 | 3 | 2005, 2006, 2007, 2008, 2009, 2010 Free Software Foundation, Inc. |
b70021f4 | 4 | |
0a9dd3a7 GM |
5 | Author: Wolfgang Rupprecht |
6 | (according to ack.texi) | |
7 | ||
b70021f4 MR |
8 | This file is part of GNU Emacs. |
9 | ||
9ec0b715 | 10 | GNU Emacs is free software: you can redistribute it and/or modify |
b70021f4 | 11 | it under the terms of the GNU General Public License as published by |
9ec0b715 GM |
12 | the Free Software Foundation, either version 3 of the License, or |
13 | (at your option) any later version. | |
b70021f4 MR |
14 | |
15 | GNU Emacs is distributed in the hope that it will be useful, | |
16 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
17 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
18 | GNU General Public License for more details. | |
19 | ||
20 | You should have received a copy of the GNU General Public License | |
9ec0b715 | 21 | along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. */ |
b70021f4 MR |
22 | |
23 | ||
4b6baf5f RS |
24 | /* ANSI C requires only these float functions: |
25 | acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, fmod, | |
26 | frexp, ldexp, log, log10, modf, pow, sin, sinh, sqrt, tan, tanh. | |
27 | ||
28 | Define HAVE_INVERSE_HYPERBOLIC if you have acosh, asinh, and atanh. | |
29 | Define HAVE_CBRT if you have cbrt. | |
dca6c914 | 30 | Define HAVE_RINT if you have a working rint. |
4b6baf5f RS |
31 | If you don't define these, then the appropriate routines will be simulated. |
32 | ||
33 | Define HAVE_MATHERR if on a system supporting the SysV matherr callback. | |
34 | (This should happen automatically.) | |
35 | ||
36 | Define FLOAT_CHECK_ERRNO if the float library routines set errno. | |
37 | This has no effect if HAVE_MATHERR is defined. | |
38 | ||
39 | Define FLOAT_CATCH_SIGILL if the float library routines signal SIGILL. | |
40 | (What systems actually do this? Please let us know.) | |
41 | ||
42 | Define FLOAT_CHECK_DOMAIN if the float library doesn't handle errors by | |
8e6208c5 | 43 | either setting errno, or signaling SIGFPE/SIGILL. Otherwise, domain and |
4b6baf5f RS |
44 | range checking will happen before calling the float routines. This has |
45 | no effect if HAVE_MATHERR is defined (since matherr will be called when | |
46 | a domain error occurs.) | |
47 | */ | |
48 | ||
18160b98 | 49 | #include <config.h> |
68c45bf0 | 50 | #include <signal.h> |
d7306fe6 | 51 | #include <setjmp.h> |
523e9291 RS |
52 | #include "lisp.h" |
53 | #include "syssignal.h" | |
54 | ||
2f261542 PE |
55 | #if STDC_HEADERS |
56 | #include <float.h> | |
57 | #endif | |
58 | ||
d137ae2f PE |
59 | /* If IEEE_FLOATING_POINT isn't defined, default it from FLT_*. */ |
60 | #ifndef IEEE_FLOATING_POINT | |
61 | #if (FLT_RADIX == 2 && FLT_MANT_DIG == 24 \ | |
62 | && FLT_MIN_EXP == -125 && FLT_MAX_EXP == 128) | |
63 | #define IEEE_FLOATING_POINT 1 | |
64 | #else | |
65 | #define IEEE_FLOATING_POINT 0 | |
66 | #endif | |
67 | #endif | |
68 | ||
b70021f4 | 69 | #include <math.h> |
4b6baf5f | 70 | |
32085e8e | 71 | /* This declaration is omitted on some systems, like Ultrix. */ |
7a4720e2 | 72 | #if !defined (HPUX) && defined (HAVE_LOGB) && !defined (logb) |
d2aa42f8 | 73 | extern double logb (double); |
7a4720e2 | 74 | #endif /* not HPUX and HAVE_LOGB and no logb macro */ |
c26406fe | 75 | |
4b6baf5f RS |
76 | #if defined(DOMAIN) && defined(SING) && defined(OVERFLOW) |
77 | /* If those are defined, then this is probably a `matherr' machine. */ | |
78 | # ifndef HAVE_MATHERR | |
79 | # define HAVE_MATHERR | |
80 | # endif | |
81 | #endif | |
82 | ||
c0f0a4a2 | 83 | #ifdef NO_MATHERR |
f89182a2 RS |
84 | #undef HAVE_MATHERR |
85 | #endif | |
86 | ||
4b6baf5f RS |
87 | #ifdef HAVE_MATHERR |
88 | # ifdef FLOAT_CHECK_ERRNO | |
89 | # undef FLOAT_CHECK_ERRNO | |
90 | # endif | |
91 | # ifdef FLOAT_CHECK_DOMAIN | |
92 | # undef FLOAT_CHECK_DOMAIN | |
93 | # endif | |
94 | #endif | |
95 | ||
96 | #ifndef NO_FLOAT_CHECK_ERRNO | |
97 | #define FLOAT_CHECK_ERRNO | |
98 | #endif | |
99 | ||
100 | #ifdef FLOAT_CHECK_ERRNO | |
101 | # include <errno.h> | |
f12ef5eb | 102 | #endif |
265a9e55 | 103 | |
311346bb | 104 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 105 | static SIGTYPE float_error (); |
311346bb | 106 | #endif |
b70021f4 MR |
107 | |
108 | /* Nonzero while executing in floating point. | |
109 | This tells float_error what to do. */ | |
110 | ||
111 | static int in_float; | |
112 | ||
113 | /* If an argument is out of range for a mathematical function, | |
21876236 RS |
114 | here is the actual argument value to use in the error message. |
115 | These variables are used only across the floating point library call | |
116 | so there is no need to staticpro them. */ | |
b70021f4 | 117 | |
4b6baf5f RS |
118 | static Lisp_Object float_error_arg, float_error_arg2; |
119 | ||
120 | static char *float_error_fn_name; | |
b70021f4 | 121 | |
265a9e55 JB |
122 | /* Evaluate the floating point expression D, recording NUM |
123 | as the original argument for error messages. | |
124 | D is normally an assignment expression. | |
f8d83099 JB |
125 | Handle errors which may result in signals or may set errno. |
126 | ||
127 | Note that float_error may be declared to return void, so you can't | |
128 | just cast the zero after the colon to (SIGTYPE) to make the types | |
129 | check properly. */ | |
265a9e55 | 130 | |
4b6baf5f RS |
131 | #ifdef FLOAT_CHECK_ERRNO |
132 | #define IN_FLOAT(d, name, num) \ | |
133 | do { \ | |
134 | float_error_arg = num; \ | |
135 | float_error_fn_name = name; \ | |
136 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
137 | switch (errno) { \ | |
138 | case 0: break; \ | |
139 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
140 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
141 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
142 | } \ | |
143 | } while (0) | |
144 | #define IN_FLOAT2(d, name, num, num2) \ | |
145 | do { \ | |
146 | float_error_arg = num; \ | |
147 | float_error_arg2 = num2; \ | |
148 | float_error_fn_name = name; \ | |
149 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
150 | switch (errno) { \ | |
151 | case 0: break; \ | |
152 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
153 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
154 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
155 | } \ | |
156 | } while (0) | |
157 | #else | |
f8131ed2 | 158 | #define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0) |
4b6baf5f RS |
159 | #define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0) |
160 | #endif | |
161 | ||
81a63ccc KH |
162 | /* Convert float to Lisp_Int if it fits, else signal a range error |
163 | using the given arguments. */ | |
164 | #define FLOAT_TO_INT(x, i, name, num) \ | |
165 | do \ | |
166 | { \ | |
29d823d6 | 167 | if (FIXNUM_OVERFLOW_P (x)) \ |
81a63ccc | 168 | range_error (name, num); \ |
e0cb2a68 | 169 | XSETINT (i, (EMACS_INT)(x)); \ |
81a63ccc KH |
170 | } \ |
171 | while (0) | |
172 | #define FLOAT_TO_INT2(x, i, name, num1, num2) \ | |
173 | do \ | |
174 | { \ | |
29d823d6 | 175 | if (FIXNUM_OVERFLOW_P (x)) \ |
81a63ccc | 176 | range_error2 (name, num1, num2); \ |
e0cb2a68 | 177 | XSETINT (i, (EMACS_INT)(x)); \ |
81a63ccc KH |
178 | } \ |
179 | while (0) | |
180 | ||
4b6baf5f | 181 | #define arith_error(op,arg) \ |
edef1631 | 182 | xsignal2 (Qarith_error, build_string ((op)), (arg)) |
4b6baf5f | 183 | #define range_error(op,arg) \ |
edef1631 | 184 | xsignal2 (Qrange_error, build_string ((op)), (arg)) |
81a63ccc | 185 | #define range_error2(op,a1,a2) \ |
edef1631 | 186 | xsignal3 (Qrange_error, build_string ((op)), (a1), (a2)) |
4b6baf5f | 187 | #define domain_error(op,arg) \ |
edef1631 | 188 | xsignal2 (Qdomain_error, build_string ((op)), (arg)) |
4b6baf5f | 189 | #define domain_error2(op,a1,a2) \ |
edef1631 | 190 | xsignal3 (Qdomain_error, build_string ((op)), (a1), (a2)) |
b70021f4 MR |
191 | |
192 | /* Extract a Lisp number as a `double', or signal an error. */ | |
193 | ||
194 | double | |
d5a3eaaf | 195 | extract_float (Lisp_Object num) |
b70021f4 | 196 | { |
b7826503 | 197 | CHECK_NUMBER_OR_FLOAT (num); |
b70021f4 | 198 | |
207a45c1 | 199 | if (FLOATP (num)) |
70949dac | 200 | return XFLOAT_DATA (num); |
b70021f4 MR |
201 | return (double) XINT (num); |
202 | } | |
c2d4ea74 RS |
203 | \f |
204 | /* Trig functions. */ | |
b70021f4 MR |
205 | |
206 | DEFUN ("acos", Facos, Sacos, 1, 1, 0, | |
335c5470 | 207 | doc: /* Return the inverse cosine of ARG. */) |
5842a27b | 208 | (register Lisp_Object arg) |
b70021f4 | 209 | { |
4b6baf5f RS |
210 | double d = extract_float (arg); |
211 | #ifdef FLOAT_CHECK_DOMAIN | |
212 | if (d > 1.0 || d < -1.0) | |
213 | domain_error ("acos", arg); | |
214 | #endif | |
215 | IN_FLOAT (d = acos (d), "acos", arg); | |
b70021f4 MR |
216 | return make_float (d); |
217 | } | |
218 | ||
c2d4ea74 | 219 | DEFUN ("asin", Fasin, Sasin, 1, 1, 0, |
335c5470 | 220 | doc: /* Return the inverse sine of ARG. */) |
5842a27b | 221 | (register Lisp_Object arg) |
b70021f4 | 222 | { |
4b6baf5f RS |
223 | double d = extract_float (arg); |
224 | #ifdef FLOAT_CHECK_DOMAIN | |
225 | if (d > 1.0 || d < -1.0) | |
226 | domain_error ("asin", arg); | |
227 | #endif | |
228 | IN_FLOAT (d = asin (d), "asin", arg); | |
b70021f4 MR |
229 | return make_float (d); |
230 | } | |
231 | ||
250ffca6 EZ |
232 | DEFUN ("atan", Fatan, Satan, 1, 2, 0, |
233 | doc: /* Return the inverse tangent of the arguments. | |
234 | If only one argument Y is given, return the inverse tangent of Y. | |
235 | If two arguments Y and X are given, return the inverse tangent of Y | |
236 | divided by X, i.e. the angle in radians between the vector (X, Y) | |
237 | and the x-axis. */) | |
5842a27b | 238 | (register Lisp_Object y, Lisp_Object x) |
b70021f4 | 239 | { |
250ffca6 EZ |
240 | double d = extract_float (y); |
241 | ||
242 | if (NILP (x)) | |
243 | IN_FLOAT (d = atan (d), "atan", y); | |
244 | else | |
245 | { | |
246 | double d2 = extract_float (x); | |
247 | ||
248 | IN_FLOAT2 (d = atan2 (d, d2), "atan", y, x); | |
249 | } | |
b70021f4 MR |
250 | return make_float (d); |
251 | } | |
252 | ||
c2d4ea74 | 253 | DEFUN ("cos", Fcos, Scos, 1, 1, 0, |
335c5470 | 254 | doc: /* Return the cosine of ARG. */) |
5842a27b | 255 | (register Lisp_Object arg) |
b70021f4 | 256 | { |
4b6baf5f RS |
257 | double d = extract_float (arg); |
258 | IN_FLOAT (d = cos (d), "cos", arg); | |
b70021f4 MR |
259 | return make_float (d); |
260 | } | |
261 | ||
c2d4ea74 | 262 | DEFUN ("sin", Fsin, Ssin, 1, 1, 0, |
335c5470 | 263 | doc: /* Return the sine of ARG. */) |
5842a27b | 264 | (register Lisp_Object arg) |
b70021f4 | 265 | { |
4b6baf5f RS |
266 | double d = extract_float (arg); |
267 | IN_FLOAT (d = sin (d), "sin", arg); | |
b70021f4 MR |
268 | return make_float (d); |
269 | } | |
270 | ||
c2d4ea74 | 271 | DEFUN ("tan", Ftan, Stan, 1, 1, 0, |
335c5470 | 272 | doc: /* Return the tangent of ARG. */) |
5842a27b | 273 | (register Lisp_Object arg) |
4b6baf5f RS |
274 | { |
275 | double d = extract_float (arg); | |
276 | double c = cos (d); | |
277 | #ifdef FLOAT_CHECK_DOMAIN | |
278 | if (c == 0.0) | |
279 | domain_error ("tan", arg); | |
280 | #endif | |
281 | IN_FLOAT (d = sin (d) / c, "tan", arg); | |
b70021f4 MR |
282 | return make_float (d); |
283 | } | |
15e12598 VB |
284 | |
285 | #if defined HAVE_ISNAN && defined HAVE_COPYSIGN | |
286 | DEFUN ("isnan", Fisnan, Sisnan, 1, 1, 0, | |
287 | doc: /* Return non nil iff argument X is a NaN. */) | |
5842a27b | 288 | (Lisp_Object x) |
15e12598 VB |
289 | { |
290 | CHECK_FLOAT (x); | |
291 | return isnan (XFLOAT_DATA (x)) ? Qt : Qnil; | |
292 | } | |
293 | ||
294 | DEFUN ("copysign", Fcopysign, Scopysign, 1, 2, 0, | |
295 | doc: /* Copy sign of X2 to value of X1, and return the result. | |
296 | Cause an error if X1 or X2 is not a float. */) | |
5842a27b | 297 | (Lisp_Object x1, Lisp_Object x2) |
15e12598 VB |
298 | { |
299 | double f1, f2; | |
300 | ||
301 | CHECK_FLOAT (x1); | |
302 | CHECK_FLOAT (x2); | |
303 | ||
304 | f1 = XFLOAT_DATA (x1); | |
305 | f2 = XFLOAT_DATA (x2); | |
306 | ||
307 | return make_float (copysign (f1, f2)); | |
308 | } | |
309 | ||
310 | DEFUN ("frexp", Ffrexp, Sfrexp, 1, 1, 0, | |
311 | doc: /* Get significand and exponent of a floating point number. | |
312 | Breaks the floating point number X into its binary significand SGNFCAND | |
313 | \(a floating point value between 0.5 (included) and 1.0 (excluded)) | |
314 | and an integral exponent EXP for 2, such that: | |
315 | ||
316 | X = SGNFCAND * 2^EXP | |
317 | ||
318 | The function returns the cons cell (SGNFCAND . EXP). | |
319 | If X is zero, both parts (SGNFCAND and EXP) are zero. */) | |
5842a27b | 320 | (Lisp_Object x) |
15e12598 VB |
321 | { |
322 | double f = XFLOATINT (x); | |
323 | ||
324 | if (f == 0.0) | |
325 | return Fcons (make_float (0.0), make_number (0)); | |
326 | else | |
327 | { | |
328 | int exp; | |
329 | double sgnfcand = frexp (f, &exp); | |
330 | return Fcons (make_float (sgnfcand), make_number (exp)); | |
331 | } | |
332 | } | |
333 | ||
334 | DEFUN ("ldexp", Fldexp, Sldexp, 1, 2, 0, | |
335 | doc: /* Construct number X from significand SGNFCAND and exponent EXP. | |
336 | Returns the floating point value resulting from multiplying SGNFCAND | |
337 | (the significand) by 2 raised to the power of EXP (the exponent). */) | |
5842a27b | 338 | (Lisp_Object sgnfcand, Lisp_Object exp) |
15e12598 VB |
339 | { |
340 | CHECK_NUMBER (exp); | |
341 | return make_float (ldexp (XFLOATINT (sgnfcand), XINT (exp))); | |
342 | } | |
343 | #endif | |
b70021f4 | 344 | \f |
c2d4ea74 RS |
345 | #if 0 /* Leave these out unless we find there's a reason for them. */ |
346 | ||
b70021f4 | 347 | DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0, |
335c5470 | 348 | doc: /* Return the bessel function j0 of ARG. */) |
5842a27b | 349 | (register Lisp_Object arg) |
b70021f4 | 350 | { |
4b6baf5f RS |
351 | double d = extract_float (arg); |
352 | IN_FLOAT (d = j0 (d), "bessel-j0", arg); | |
b70021f4 MR |
353 | return make_float (d); |
354 | } | |
355 | ||
356 | DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0, | |
335c5470 | 357 | doc: /* Return the bessel function j1 of ARG. */) |
5842a27b | 358 | (register Lisp_Object arg) |
b70021f4 | 359 | { |
4b6baf5f RS |
360 | double d = extract_float (arg); |
361 | IN_FLOAT (d = j1 (d), "bessel-j1", arg); | |
b70021f4 MR |
362 | return make_float (d); |
363 | } | |
364 | ||
365 | DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0, | |
335c5470 PJ |
366 | doc: /* Return the order N bessel function output jn of ARG. |
367 | The first arg (the order) is truncated to an integer. */) | |
5842a27b | 368 | (register Lisp_Object n, Lisp_Object arg) |
b70021f4 | 369 | { |
3e670702 EN |
370 | int i1 = extract_float (n); |
371 | double f2 = extract_float (arg); | |
b70021f4 | 372 | |
3e670702 | 373 | IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", n); |
b70021f4 MR |
374 | return make_float (f2); |
375 | } | |
376 | ||
377 | DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0, | |
335c5470 | 378 | doc: /* Return the bessel function y0 of ARG. */) |
5842a27b | 379 | (register Lisp_Object arg) |
b70021f4 | 380 | { |
4b6baf5f RS |
381 | double d = extract_float (arg); |
382 | IN_FLOAT (d = y0 (d), "bessel-y0", arg); | |
b70021f4 MR |
383 | return make_float (d); |
384 | } | |
385 | ||
386 | DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0, | |
335c5470 | 387 | doc: /* Return the bessel function y1 of ARG. */) |
5842a27b | 388 | (register Lisp_Object arg) |
b70021f4 | 389 | { |
4b6baf5f RS |
390 | double d = extract_float (arg); |
391 | IN_FLOAT (d = y1 (d), "bessel-y0", arg); | |
b70021f4 MR |
392 | return make_float (d); |
393 | } | |
394 | ||
395 | DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0, | |
335c5470 PJ |
396 | doc: /* Return the order N bessel function output yn of ARG. |
397 | The first arg (the order) is truncated to an integer. */) | |
5842a27b | 398 | (register Lisp_Object n, Lisp_Object arg) |
b70021f4 | 399 | { |
3e670702 EN |
400 | int i1 = extract_float (n); |
401 | double f2 = extract_float (arg); | |
b70021f4 | 402 | |
3e670702 | 403 | IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", n); |
b70021f4 MR |
404 | return make_float (f2); |
405 | } | |
b70021f4 | 406 | |
c2d4ea74 RS |
407 | #endif |
408 | \f | |
409 | #if 0 /* Leave these out unless we see they are worth having. */ | |
b70021f4 MR |
410 | |
411 | DEFUN ("erf", Ferf, Serf, 1, 1, 0, | |
335c5470 | 412 | doc: /* Return the mathematical error function of ARG. */) |
5842a27b | 413 | (register Lisp_Object arg) |
b70021f4 | 414 | { |
4b6baf5f RS |
415 | double d = extract_float (arg); |
416 | IN_FLOAT (d = erf (d), "erf", arg); | |
b70021f4 MR |
417 | return make_float (d); |
418 | } | |
419 | ||
420 | DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0, | |
335c5470 | 421 | doc: /* Return the complementary error function of ARG. */) |
5842a27b | 422 | (register Lisp_Object arg) |
b70021f4 | 423 | { |
4b6baf5f RS |
424 | double d = extract_float (arg); |
425 | IN_FLOAT (d = erfc (d), "erfc", arg); | |
b70021f4 MR |
426 | return make_float (d); |
427 | } | |
428 | ||
b70021f4 | 429 | DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0, |
335c5470 | 430 | doc: /* Return the log gamma of ARG. */) |
5842a27b | 431 | (register Lisp_Object arg) |
b70021f4 | 432 | { |
4b6baf5f RS |
433 | double d = extract_float (arg); |
434 | IN_FLOAT (d = lgamma (d), "log-gamma", arg); | |
b70021f4 MR |
435 | return make_float (d); |
436 | } | |
437 | ||
4b6baf5f | 438 | DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0, |
335c5470 | 439 | doc: /* Return the cube root of ARG. */) |
5842a27b | 440 | (register Lisp_Object arg) |
b70021f4 | 441 | { |
4b6baf5f RS |
442 | double d = extract_float (arg); |
443 | #ifdef HAVE_CBRT | |
444 | IN_FLOAT (d = cbrt (d), "cube-root", arg); | |
445 | #else | |
446 | if (d >= 0.0) | |
447 | IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg); | |
448 | else | |
449 | IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg); | |
450 | #endif | |
b70021f4 MR |
451 | return make_float (d); |
452 | } | |
453 | ||
706ac90d RS |
454 | #endif |
455 | \f | |
c2d4ea74 | 456 | DEFUN ("exp", Fexp, Sexp, 1, 1, 0, |
335c5470 | 457 | doc: /* Return the exponential base e of ARG. */) |
5842a27b | 458 | (register Lisp_Object arg) |
4b6baf5f RS |
459 | { |
460 | double d = extract_float (arg); | |
461 | #ifdef FLOAT_CHECK_DOMAIN | |
462 | if (d > 709.7827) /* Assume IEEE doubles here */ | |
463 | range_error ("exp", arg); | |
464 | else if (d < -709.0) | |
465 | return make_float (0.0); | |
466 | else | |
467 | #endif | |
468 | IN_FLOAT (d = exp (d), "exp", arg); | |
b70021f4 MR |
469 | return make_float (d); |
470 | } | |
471 | ||
b70021f4 | 472 | DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0, |
335c5470 | 473 | doc: /* Return the exponential ARG1 ** ARG2. */) |
5842a27b | 474 | (register Lisp_Object arg1, Lisp_Object arg2) |
b70021f4 | 475 | { |
2742fe30 | 476 | double f1, f2, f3; |
b70021f4 | 477 | |
b7826503 PJ |
478 | CHECK_NUMBER_OR_FLOAT (arg1); |
479 | CHECK_NUMBER_OR_FLOAT (arg2); | |
207a45c1 | 480 | if (INTEGERP (arg1) /* common lisp spec */ |
5a9807a8 TTN |
481 | && INTEGERP (arg2) /* don't promote, if both are ints, and */ |
482 | && 0 <= XINT (arg2)) /* we are sure the result is not fractional */ | |
b70021f4 | 483 | { /* this can be improved by pre-calculating */ |
9a51b24a | 484 | EMACS_INT acc, x, y; /* some binary powers of x then accumulating */ |
4be1d460 RS |
485 | Lisp_Object val; |
486 | ||
4b6baf5f RS |
487 | x = XINT (arg1); |
488 | y = XINT (arg2); | |
b70021f4 | 489 | acc = 1; |
177c0ea7 | 490 | |
b70021f4 MR |
491 | if (y < 0) |
492 | { | |
4b6baf5f RS |
493 | if (x == 1) |
494 | acc = 1; | |
495 | else if (x == -1) | |
496 | acc = (y & 1) ? -1 : 1; | |
497 | else | |
498 | acc = 0; | |
b70021f4 MR |
499 | } |
500 | else | |
501 | { | |
4b6baf5f RS |
502 | while (y > 0) |
503 | { | |
504 | if (y & 1) | |
505 | acc *= x; | |
506 | x *= x; | |
507 | y = (unsigned)y >> 1; | |
508 | } | |
b70021f4 | 509 | } |
e0cb2a68 | 510 | XSETINT (val, acc); |
4be1d460 | 511 | return val; |
b70021f4 | 512 | } |
70949dac KR |
513 | f1 = FLOATP (arg1) ? XFLOAT_DATA (arg1) : XINT (arg1); |
514 | f2 = FLOATP (arg2) ? XFLOAT_DATA (arg2) : XINT (arg2); | |
4b6baf5f RS |
515 | /* Really should check for overflow, too */ |
516 | if (f1 == 0.0 && f2 == 0.0) | |
517 | f1 = 1.0; | |
518 | #ifdef FLOAT_CHECK_DOMAIN | |
519 | else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2))) | |
520 | domain_error2 ("expt", arg1, arg2); | |
521 | #endif | |
2742fe30 MC |
522 | IN_FLOAT2 (f3 = pow (f1, f2), "expt", arg1, arg2); |
523 | /* Check for overflow in the result. */ | |
524 | if (f1 != 0.0 && f3 == 0.0) | |
525 | range_error ("expt", arg1); | |
526 | return make_float (f3); | |
b70021f4 | 527 | } |
c2d4ea74 | 528 | |
56abb480 | 529 | DEFUN ("log", Flog, Slog, 1, 2, 0, |
335c5470 | 530 | doc: /* Return the natural logarithm of ARG. |
356e6d8d | 531 | If the optional argument BASE is given, return log ARG using that base. */) |
5842a27b | 532 | (register Lisp_Object arg, Lisp_Object base) |
b70021f4 | 533 | { |
4b6baf5f | 534 | double d = extract_float (arg); |
56abb480 | 535 | |
4b6baf5f RS |
536 | #ifdef FLOAT_CHECK_DOMAIN |
537 | if (d <= 0.0) | |
538 | domain_error2 ("log", arg, base); | |
539 | #endif | |
56abb480 | 540 | if (NILP (base)) |
4b6baf5f | 541 | IN_FLOAT (d = log (d), "log", arg); |
56abb480 JB |
542 | else |
543 | { | |
544 | double b = extract_float (base); | |
545 | ||
4b6baf5f RS |
546 | #ifdef FLOAT_CHECK_DOMAIN |
547 | if (b <= 0.0 || b == 1.0) | |
548 | domain_error2 ("log", arg, base); | |
549 | #endif | |
550 | if (b == 10.0) | |
551 | IN_FLOAT2 (d = log10 (d), "log", arg, base); | |
552 | else | |
f8131ed2 | 553 | IN_FLOAT2 (d = log (d) / log (b), "log", arg, base); |
56abb480 | 554 | } |
b70021f4 MR |
555 | return make_float (d); |
556 | } | |
557 | ||
c2d4ea74 | 558 | DEFUN ("log10", Flog10, Slog10, 1, 1, 0, |
335c5470 | 559 | doc: /* Return the logarithm base 10 of ARG. */) |
5842a27b | 560 | (register Lisp_Object arg) |
b70021f4 | 561 | { |
4b6baf5f RS |
562 | double d = extract_float (arg); |
563 | #ifdef FLOAT_CHECK_DOMAIN | |
564 | if (d <= 0.0) | |
565 | domain_error ("log10", arg); | |
566 | #endif | |
567 | IN_FLOAT (d = log10 (d), "log10", arg); | |
c2d4ea74 RS |
568 | return make_float (d); |
569 | } | |
570 | ||
b70021f4 | 571 | DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0, |
335c5470 | 572 | doc: /* Return the square root of ARG. */) |
5842a27b | 573 | (register Lisp_Object arg) |
b70021f4 | 574 | { |
4b6baf5f RS |
575 | double d = extract_float (arg); |
576 | #ifdef FLOAT_CHECK_DOMAIN | |
577 | if (d < 0.0) | |
578 | domain_error ("sqrt", arg); | |
579 | #endif | |
580 | IN_FLOAT (d = sqrt (d), "sqrt", arg); | |
b70021f4 MR |
581 | return make_float (d); |
582 | } | |
c2d4ea74 | 583 | \f |
706ac90d | 584 | #if 0 /* Not clearly worth adding. */ |
b70021f4 | 585 | |
c2d4ea74 | 586 | DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0, |
335c5470 | 587 | doc: /* Return the inverse hyperbolic cosine of ARG. */) |
5842a27b | 588 | (register Lisp_Object arg) |
b70021f4 | 589 | { |
4b6baf5f RS |
590 | double d = extract_float (arg); |
591 | #ifdef FLOAT_CHECK_DOMAIN | |
592 | if (d < 1.0) | |
593 | domain_error ("acosh", arg); | |
594 | #endif | |
595 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
596 | IN_FLOAT (d = acosh (d), "acosh", arg); | |
597 | #else | |
598 | IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg); | |
599 | #endif | |
c2d4ea74 RS |
600 | return make_float (d); |
601 | } | |
602 | ||
603 | DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0, | |
335c5470 | 604 | doc: /* Return the inverse hyperbolic sine of ARG. */) |
5842a27b | 605 | (register Lisp_Object arg) |
c2d4ea74 | 606 | { |
4b6baf5f RS |
607 | double d = extract_float (arg); |
608 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
609 | IN_FLOAT (d = asinh (d), "asinh", arg); | |
610 | #else | |
611 | IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg); | |
612 | #endif | |
c2d4ea74 RS |
613 | return make_float (d); |
614 | } | |
615 | ||
616 | DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0, | |
335c5470 | 617 | doc: /* Return the inverse hyperbolic tangent of ARG. */) |
5842a27b | 618 | (register Lisp_Object arg) |
c2d4ea74 | 619 | { |
4b6baf5f RS |
620 | double d = extract_float (arg); |
621 | #ifdef FLOAT_CHECK_DOMAIN | |
622 | if (d >= 1.0 || d <= -1.0) | |
623 | domain_error ("atanh", arg); | |
624 | #endif | |
625 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
626 | IN_FLOAT (d = atanh (d), "atanh", arg); | |
627 | #else | |
628 | IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg); | |
629 | #endif | |
c2d4ea74 RS |
630 | return make_float (d); |
631 | } | |
632 | ||
633 | DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0, | |
335c5470 | 634 | doc: /* Return the hyperbolic cosine of ARG. */) |
5842a27b | 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 ("cosh", arg); | |
641 | #endif | |
642 | IN_FLOAT (d = cosh (d), "cosh", arg); | |
c2d4ea74 RS |
643 | return make_float (d); |
644 | } | |
645 | ||
646 | DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0, | |
335c5470 | 647 | doc: /* Return the hyperbolic sine of ARG. */) |
5842a27b | 648 | (register Lisp_Object arg) |
c2d4ea74 | 649 | { |
4b6baf5f RS |
650 | double d = extract_float (arg); |
651 | #ifdef FLOAT_CHECK_DOMAIN | |
652 | if (d > 710.0 || d < -710.0) | |
653 | range_error ("sinh", arg); | |
654 | #endif | |
655 | IN_FLOAT (d = sinh (d), "sinh", arg); | |
b70021f4 MR |
656 | return make_float (d); |
657 | } | |
658 | ||
659 | DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0, | |
335c5470 | 660 | doc: /* Return the hyperbolic tangent of ARG. */) |
5842a27b | 661 | (register Lisp_Object arg) |
b70021f4 | 662 | { |
4b6baf5f RS |
663 | double d = extract_float (arg); |
664 | IN_FLOAT (d = tanh (d), "tanh", arg); | |
b70021f4 MR |
665 | return make_float (d); |
666 | } | |
c2d4ea74 | 667 | #endif |
b70021f4 MR |
668 | \f |
669 | DEFUN ("abs", Fabs, Sabs, 1, 1, 0, | |
335c5470 | 670 | doc: /* Return the absolute value of ARG. */) |
5842a27b | 671 | (register Lisp_Object arg) |
b70021f4 | 672 | { |
b7826503 | 673 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 674 | |
207a45c1 | 675 | if (FLOATP (arg)) |
70949dac | 676 | IN_FLOAT (arg = make_float (fabs (XFLOAT_DATA (arg))), "abs", arg); |
4b6baf5f | 677 | else if (XINT (arg) < 0) |
db37cb37 | 678 | XSETINT (arg, - XINT (arg)); |
b70021f4 | 679 | |
4b6baf5f | 680 | return arg; |
b70021f4 MR |
681 | } |
682 | ||
683 | DEFUN ("float", Ffloat, Sfloat, 1, 1, 0, | |
335c5470 | 684 | doc: /* Return the floating point number equal to ARG. */) |
5842a27b | 685 | (register Lisp_Object arg) |
b70021f4 | 686 | { |
b7826503 | 687 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 688 | |
207a45c1 | 689 | if (INTEGERP (arg)) |
4b6baf5f | 690 | return make_float ((double) XINT (arg)); |
b70021f4 | 691 | else /* give 'em the same float back */ |
4b6baf5f | 692 | return arg; |
b70021f4 MR |
693 | } |
694 | ||
695 | DEFUN ("logb", Flogb, Slogb, 1, 1, 0, | |
335c5470 PJ |
696 | doc: /* Returns largest integer <= the base 2 log of the magnitude of ARG. |
697 | This is the same as the exponent of a float. */) | |
5842a27b | 698 | (Lisp_Object arg) |
b70021f4 | 699 | { |
340176df | 700 | Lisp_Object val; |
a7bf3c54 | 701 | EMACS_INT value; |
5bf54166 | 702 | double f = extract_float (arg); |
340176df | 703 | |
6694b327 | 704 | if (f == 0.0) |
b916d672 | 705 | value = MOST_NEGATIVE_FIXNUM; |
6694b327 KH |
706 | else |
707 | { | |
6d3c6adb | 708 | #ifdef HAVE_LOGB |
6694b327 | 709 | IN_FLOAT (value = logb (f), "logb", arg); |
6d3c6adb JB |
710 | #else |
711 | #ifdef HAVE_FREXP | |
c8bf6cf3 KH |
712 | int ivalue; |
713 | IN_FLOAT (frexp (f, &ivalue), "logb", arg); | |
714 | value = ivalue - 1; | |
c26406fe | 715 | #else |
6694b327 KH |
716 | int i; |
717 | double d; | |
718 | if (f < 0.0) | |
719 | f = -f; | |
720 | value = -1; | |
721 | while (f < 0.5) | |
722 | { | |
723 | for (i = 1, d = 0.5; d * d >= f; i += i) | |
724 | d *= d; | |
725 | f /= d; | |
726 | value -= i; | |
727 | } | |
728 | while (f >= 1.0) | |
729 | { | |
730 | for (i = 1, d = 2.0; d * d <= f; i += i) | |
731 | d *= d; | |
732 | f /= d; | |
733 | value += i; | |
734 | } | |
6d3c6adb | 735 | #endif |
340176df | 736 | #endif |
6694b327 | 737 | } |
e0cb2a68 | 738 | XSETINT (val, value); |
c26406fe | 739 | return val; |
b70021f4 MR |
740 | } |
741 | ||
fc2157cb | 742 | |
acbbacbe PE |
743 | /* the rounding functions */ |
744 | ||
745 | static Lisp_Object | |
d2aa42f8 DN |
746 | rounding_driver (Lisp_Object arg, Lisp_Object divisor, |
747 | double (*double_round) (double), | |
748 | EMACS_INT (*int_round2) (EMACS_INT, EMACS_INT), | |
749 | char *name) | |
b70021f4 | 750 | { |
b7826503 | 751 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 752 | |
fc2157cb PE |
753 | if (! NILP (divisor)) |
754 | { | |
9a51b24a | 755 | EMACS_INT i1, i2; |
fc2157cb | 756 | |
b7826503 | 757 | CHECK_NUMBER_OR_FLOAT (divisor); |
fc2157cb | 758 | |
207a45c1 | 759 | if (FLOATP (arg) || FLOATP (divisor)) |
fc2157cb PE |
760 | { |
761 | double f1, f2; | |
762 | ||
70949dac KR |
763 | f1 = FLOATP (arg) ? XFLOAT_DATA (arg) : XINT (arg); |
764 | f2 = (FLOATP (divisor) ? XFLOAT_DATA (divisor) : XINT (divisor)); | |
d137ae2f | 765 | if (! IEEE_FLOATING_POINT && f2 == 0) |
edef1631 | 766 | xsignal0 (Qarith_error); |
fc2157cb | 767 | |
acbbacbe PE |
768 | IN_FLOAT2 (f1 = (*double_round) (f1 / f2), name, arg, divisor); |
769 | FLOAT_TO_INT2 (f1, arg, name, arg, divisor); | |
fc2157cb PE |
770 | return arg; |
771 | } | |
fc2157cb PE |
772 | |
773 | i1 = XINT (arg); | |
774 | i2 = XINT (divisor); | |
775 | ||
776 | if (i2 == 0) | |
edef1631 | 777 | xsignal0 (Qarith_error); |
fc2157cb | 778 | |
acbbacbe | 779 | XSETINT (arg, (*int_round2) (i1, i2)); |
fc2157cb PE |
780 | return arg; |
781 | } | |
782 | ||
207a45c1 | 783 | if (FLOATP (arg)) |
81a63ccc KH |
784 | { |
785 | double d; | |
acbbacbe | 786 | |
70949dac | 787 | IN_FLOAT (d = (*double_round) (XFLOAT_DATA (arg)), name, arg); |
acbbacbe | 788 | FLOAT_TO_INT (d, arg, name, arg); |
81a63ccc | 789 | } |
b70021f4 | 790 | |
4b6baf5f | 791 | return arg; |
b70021f4 MR |
792 | } |
793 | ||
acbbacbe PE |
794 | /* With C's /, the result is implementation-defined if either operand |
795 | is negative, so take care with negative operands in the following | |
796 | integer functions. */ | |
797 | ||
798 | static EMACS_INT | |
d2aa42f8 | 799 | ceiling2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
800 | { |
801 | return (i2 < 0 | |
802 | ? (i1 < 0 ? ((-1 - i1) / -i2) + 1 : - (i1 / -i2)) | |
803 | : (i1 <= 0 ? - (-i1 / i2) : ((i1 - 1) / i2) + 1)); | |
804 | } | |
805 | ||
806 | static EMACS_INT | |
d2aa42f8 | 807 | floor2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
808 | { |
809 | return (i2 < 0 | |
810 | ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2)) | |
811 | : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2)); | |
812 | } | |
813 | ||
814 | static EMACS_INT | |
d2aa42f8 | 815 | truncate2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
816 | { |
817 | return (i2 < 0 | |
818 | ? (i1 < 0 ? -i1 / -i2 : - (i1 / -i2)) | |
819 | : (i1 < 0 ? - (-i1 / i2) : i1 / i2)); | |
820 | } | |
821 | ||
822 | static EMACS_INT | |
d2aa42f8 | 823 | round2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
824 | { |
825 | /* The C language's division operator gives us one remainder R, but | |
826 | we want the remainder R1 on the other side of 0 if R1 is closer | |
827 | to 0 than R is; because we want to round to even, we also want R1 | |
828 | if R and R1 are the same distance from 0 and if C's quotient is | |
829 | odd. */ | |
830 | EMACS_INT q = i1 / i2; | |
831 | EMACS_INT r = i1 % i2; | |
832 | EMACS_INT abs_r = r < 0 ? -r : r; | |
833 | EMACS_INT abs_r1 = (i2 < 0 ? -i2 : i2) - abs_r; | |
834 | return q + (abs_r + (q & 1) <= abs_r1 ? 0 : (i2 ^ r) < 0 ? -1 : 1); | |
835 | } | |
836 | ||
dca6c914 RS |
837 | /* The code uses emacs_rint, so that it works to undefine HAVE_RINT |
838 | if `rint' exists but does not work right. */ | |
839 | #ifdef HAVE_RINT | |
840 | #define emacs_rint rint | |
841 | #else | |
4b5878a8 | 842 | static double |
d2aa42f8 | 843 | emacs_rint (double d) |
4b5878a8 | 844 | { |
1b65c684 | 845 | return floor (d + 0.5); |
4b5878a8 KH |
846 | } |
847 | #endif | |
848 | ||
acbbacbe | 849 | static double |
d2aa42f8 | 850 | double_identity (double d) |
acbbacbe PE |
851 | { |
852 | return d; | |
853 | } | |
854 | ||
855 | DEFUN ("ceiling", Fceiling, Sceiling, 1, 2, 0, | |
1d6ea92f RS |
856 | doc: /* Return the smallest integer no less than ARG. |
857 | This rounds the value towards +inf. | |
335c5470 | 858 | With optional DIVISOR, return the smallest integer no less than ARG/DIVISOR. */) |
5842a27b | 859 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe PE |
860 | { |
861 | return rounding_driver (arg, divisor, ceil, ceiling2, "ceiling"); | |
862 | } | |
863 | ||
864 | DEFUN ("floor", Ffloor, Sfloor, 1, 2, 0, | |
1d6ea92f | 865 | doc: /* Return the largest integer no greater than ARG. |
568b6e41 | 866 | This rounds the value towards -inf. |
335c5470 | 867 | With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR. */) |
5842a27b | 868 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe PE |
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. */) |
5842a27b | 881 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe | 882 | { |
dca6c914 | 883 | return rounding_driver (arg, divisor, emacs_rint, round2, "round"); |
acbbacbe PE |
884 | } |
885 | ||
886 | DEFUN ("truncate", Ftruncate, Struncate, 1, 2, 0, | |
335c5470 PJ |
887 | doc: /* Truncate a floating point number to an int. |
888 | Rounds ARG toward zero. | |
889 | With optional DIVISOR, truncate ARG/DIVISOR. */) | |
5842a27b | 890 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe PE |
891 | { |
892 | return rounding_driver (arg, divisor, double_identity, truncate2, | |
893 | "truncate"); | |
894 | } | |
895 | ||
fc2157cb | 896 | |
d137ae2f | 897 | Lisp_Object |
dd4c5104 | 898 | fmod_float (Lisp_Object x, Lisp_Object y) |
d137ae2f PE |
899 | { |
900 | double f1, f2; | |
901 | ||
70949dac KR |
902 | f1 = FLOATP (x) ? XFLOAT_DATA (x) : XINT (x); |
903 | f2 = FLOATP (y) ? XFLOAT_DATA (y) : XINT (y); | |
d137ae2f PE |
904 | |
905 | if (! IEEE_FLOATING_POINT && f2 == 0) | |
edef1631 | 906 | xsignal0 (Qarith_error); |
d137ae2f PE |
907 | |
908 | /* If the "remainder" comes out with the wrong sign, fix it. */ | |
909 | IN_FLOAT2 ((f1 = fmod (f1, f2), | |
910 | f1 = (f2 < 0 ? f1 > 0 : f1 < 0) ? f1 + f2 : f1), | |
911 | "mod", x, y); | |
912 | return make_float (f1); | |
913 | } | |
4b6baf5f | 914 | \f |
4b6baf5f RS |
915 | /* It's not clear these are worth adding. */ |
916 | ||
917 | DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0, | |
335c5470 PJ |
918 | doc: /* Return the smallest integer no less than ARG, as a float. |
919 | \(Round toward +inf.\) */) | |
5842a27b | 920 | (register Lisp_Object arg) |
4b6baf5f RS |
921 | { |
922 | double d = extract_float (arg); | |
923 | IN_FLOAT (d = ceil (d), "fceiling", arg); | |
924 | return make_float (d); | |
925 | } | |
926 | ||
927 | DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0, | |
335c5470 PJ |
928 | doc: /* Return the largest integer no greater than ARG, as a float. |
929 | \(Round towards -inf.\) */) | |
5842a27b | 930 | (register Lisp_Object arg) |
4b6baf5f RS |
931 | { |
932 | double d = extract_float (arg); | |
933 | IN_FLOAT (d = floor (d), "ffloor", arg); | |
934 | return make_float (d); | |
935 | } | |
b70021f4 | 936 | |
4b6baf5f | 937 | DEFUN ("fround", Ffround, Sfround, 1, 1, 0, |
335c5470 | 938 | doc: /* Return the nearest integer to ARG, as a float. */) |
5842a27b | 939 | (register Lisp_Object arg) |
4b6baf5f RS |
940 | { |
941 | double d = extract_float (arg); | |
dca6c914 | 942 | IN_FLOAT (d = emacs_rint (d), "fround", arg); |
4b6baf5f RS |
943 | return make_float (d); |
944 | } | |
945 | ||
946 | DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0, | |
335c5470 PJ |
947 | doc: /* Truncate a floating point number to an integral float value. |
948 | Rounds the value toward zero. */) | |
5842a27b | 949 | (register Lisp_Object arg) |
4b6baf5f RS |
950 | { |
951 | double d = extract_float (arg); | |
952 | if (d >= 0.0) | |
953 | IN_FLOAT (d = floor (d), "ftruncate", arg); | |
954 | else | |
a3fc5236 | 955 | IN_FLOAT (d = ceil (d), "ftruncate", arg); |
4b6baf5f | 956 | return make_float (d); |
b70021f4 MR |
957 | } |
958 | \f | |
4b6baf5f | 959 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 960 | static SIGTYPE |
b70021f4 MR |
961 | float_error (signo) |
962 | int signo; | |
963 | { | |
964 | if (! in_float) | |
965 | fatal_error_signal (signo); | |
966 | ||
6df54671 | 967 | #ifdef BSD_SYSTEM |
e065a56e | 968 | sigsetmask (SIGEMPTYMASK); |
265a9e55 JB |
969 | #else |
970 | /* Must reestablish handler each time it is called. */ | |
971 | signal (SIGILL, float_error); | |
6df54671 | 972 | #endif /* BSD_SYSTEM */ |
b70021f4 | 973 | |
333f1b6f | 974 | SIGNAL_THREAD_CHECK (signo); |
b70021f4 MR |
975 | in_float = 0; |
976 | ||
edef1631 | 977 | xsignal1 (Qarith_error, float_error_arg); |
b70021f4 MR |
978 | } |
979 | ||
4b6baf5f RS |
980 | /* Another idea was to replace the library function `infnan' |
981 | where SIGILL is signaled. */ | |
982 | ||
983 | #endif /* FLOAT_CATCH_SIGILL */ | |
984 | ||
985 | #ifdef HAVE_MATHERR | |
177c0ea7 | 986 | int |
d5a3eaaf | 987 | matherr (struct exception *x) |
4b6baf5f RS |
988 | { |
989 | Lisp_Object args; | |
990 | if (! in_float) | |
991 | /* Not called from emacs-lisp float routines; do the default thing. */ | |
992 | return 0; | |
993 | if (!strcmp (x->name, "pow")) | |
994 | x->name = "expt"; | |
995 | ||
996 | args | |
997 | = Fcons (build_string (x->name), | |
998 | Fcons (make_float (x->arg1), | |
999 | ((!strcmp (x->name, "log") || !strcmp (x->name, "pow")) | |
1000 | ? Fcons (make_float (x->arg2), Qnil) | |
1001 | : Qnil))); | |
1002 | switch (x->type) | |
1003 | { | |
edef1631 KS |
1004 | case DOMAIN: xsignal (Qdomain_error, args); break; |
1005 | case SING: xsignal (Qsingularity_error, args); break; | |
1006 | case OVERFLOW: xsignal (Qoverflow_error, args); break; | |
1007 | case UNDERFLOW: xsignal (Qunderflow_error, args); break; | |
1008 | default: xsignal (Qarith_error, args); break; | |
4b6baf5f RS |
1009 | } |
1010 | return (1); /* don't set errno or print a message */ | |
1011 | } | |
1012 | #endif /* HAVE_MATHERR */ | |
1013 | ||
dfcf069d | 1014 | void |
d5a3eaaf | 1015 | init_floatfns (void) |
b70021f4 | 1016 | { |
4b6baf5f | 1017 | #ifdef FLOAT_CATCH_SIGILL |
b70021f4 | 1018 | signal (SIGILL, float_error); |
177c0ea7 | 1019 | #endif |
b70021f4 MR |
1020 | in_float = 0; |
1021 | } | |
1022 | ||
dfcf069d | 1023 | void |
d5a3eaaf | 1024 | syms_of_floatfns (void) |
b70021f4 MR |
1025 | { |
1026 | defsubr (&Sacos); | |
b70021f4 | 1027 | defsubr (&Sasin); |
b70021f4 | 1028 | defsubr (&Satan); |
c2d4ea74 RS |
1029 | defsubr (&Scos); |
1030 | defsubr (&Ssin); | |
1031 | defsubr (&Stan); | |
15e12598 VB |
1032 | #if defined HAVE_ISNAN && defined HAVE_COPYSIGN |
1033 | defsubr (&Sisnan); | |
1034 | defsubr (&Scopysign); | |
1035 | defsubr (&Sfrexp); | |
1036 | defsubr (&Sldexp); | |
1037 | #endif | |
c2d4ea74 RS |
1038 | #if 0 |
1039 | defsubr (&Sacosh); | |
1040 | defsubr (&Sasinh); | |
b70021f4 | 1041 | defsubr (&Satanh); |
c2d4ea74 RS |
1042 | defsubr (&Scosh); |
1043 | defsubr (&Ssinh); | |
1044 | defsubr (&Stanh); | |
b70021f4 MR |
1045 | defsubr (&Sbessel_y0); |
1046 | defsubr (&Sbessel_y1); | |
1047 | defsubr (&Sbessel_yn); | |
1048 | defsubr (&Sbessel_j0); | |
1049 | defsubr (&Sbessel_j1); | |
1050 | defsubr (&Sbessel_jn); | |
b70021f4 MR |
1051 | defsubr (&Serf); |
1052 | defsubr (&Serfc); | |
c2d4ea74 | 1053 | defsubr (&Slog_gamma); |
4b6baf5f | 1054 | defsubr (&Scube_root); |
892ed7e0 | 1055 | #endif |
4b6baf5f RS |
1056 | defsubr (&Sfceiling); |
1057 | defsubr (&Sffloor); | |
1058 | defsubr (&Sfround); | |
1059 | defsubr (&Sftruncate); | |
b70021f4 | 1060 | defsubr (&Sexp); |
c2d4ea74 | 1061 | defsubr (&Sexpt); |
b70021f4 MR |
1062 | defsubr (&Slog); |
1063 | defsubr (&Slog10); | |
b70021f4 | 1064 | defsubr (&Ssqrt); |
b70021f4 MR |
1065 | |
1066 | defsubr (&Sabs); | |
1067 | defsubr (&Sfloat); | |
1068 | defsubr (&Slogb); | |
1069 | defsubr (&Sceiling); | |
acbbacbe | 1070 | defsubr (&Sfloor); |
b70021f4 MR |
1071 | defsubr (&Sround); |
1072 | defsubr (&Struncate); | |
1073 | } | |
ab5796a9 MB |
1074 | |
1075 | /* arch-tag: be05bf9d-049e-4e31-91b9-e6153d483ae7 | |
1076 | (do not change this comment) */ |