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b70021f4 | 1 | /* Primitive operations on floating point for GNU Emacs Lisp interpreter. |
73b0cd50 | 2 | Copyright (C) 1988, 1993-1994, 1999, 2001-2011 Free Software Foundation, Inc. |
b70021f4 | 3 | |
0a9dd3a7 GM |
4 | Author: Wolfgang Rupprecht |
5 | (according to ack.texi) | |
6 | ||
b70021f4 MR |
7 | This file is part of GNU Emacs. |
8 | ||
9ec0b715 | 9 | GNU Emacs is free software: you can redistribute it and/or modify |
b70021f4 | 10 | it under the terms of the GNU General Public License as published by |
9ec0b715 GM |
11 | the Free Software Foundation, either version 3 of the License, or |
12 | (at your option) any later version. | |
b70021f4 MR |
13 | |
14 | GNU Emacs is distributed in the hope that it will be useful, | |
15 | but WITHOUT ANY WARRANTY; without even the implied warranty of | |
16 | MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
17 | GNU General Public License for more details. | |
18 | ||
19 | You should have received a copy of the GNU General Public License | |
9ec0b715 | 20 | along with GNU Emacs. If not, see <http://www.gnu.org/licenses/>. */ |
b70021f4 MR |
21 | |
22 | ||
4b6baf5f RS |
23 | /* ANSI C requires only these float functions: |
24 | acos, asin, atan, atan2, ceil, cos, cosh, exp, fabs, floor, fmod, | |
25 | frexp, ldexp, log, log10, modf, pow, sin, sinh, sqrt, tan, tanh. | |
26 | ||
27 | Define HAVE_INVERSE_HYPERBOLIC if you have acosh, asinh, and atanh. | |
28 | Define HAVE_CBRT if you have cbrt. | |
dca6c914 | 29 | Define HAVE_RINT if you have a working rint. |
4b6baf5f RS |
30 | If you don't define these, then the appropriate routines will be simulated. |
31 | ||
32 | Define HAVE_MATHERR if on a system supporting the SysV matherr callback. | |
33 | (This should happen automatically.) | |
34 | ||
35 | Define FLOAT_CHECK_ERRNO if the float library routines set errno. | |
36 | This has no effect if HAVE_MATHERR is defined. | |
37 | ||
38 | Define FLOAT_CATCH_SIGILL if the float library routines signal SIGILL. | |
39 | (What systems actually do this? Please let us know.) | |
40 | ||
41 | Define FLOAT_CHECK_DOMAIN if the float library doesn't handle errors by | |
8e6208c5 | 42 | either setting errno, or signaling SIGFPE/SIGILL. Otherwise, domain and |
4b6baf5f RS |
43 | range checking will happen before calling the float routines. This has |
44 | no effect if HAVE_MATHERR is defined (since matherr will be called when | |
45 | a domain error occurs.) | |
46 | */ | |
47 | ||
18160b98 | 48 | #include <config.h> |
68c45bf0 | 49 | #include <signal.h> |
d7306fe6 | 50 | #include <setjmp.h> |
523e9291 RS |
51 | #include "lisp.h" |
52 | #include "syssignal.h" | |
53 | ||
2f261542 PE |
54 | #if STDC_HEADERS |
55 | #include <float.h> | |
56 | #endif | |
57 | ||
d137ae2f PE |
58 | /* If IEEE_FLOATING_POINT isn't defined, default it from FLT_*. */ |
59 | #ifndef IEEE_FLOATING_POINT | |
60 | #if (FLT_RADIX == 2 && FLT_MANT_DIG == 24 \ | |
61 | && FLT_MIN_EXP == -125 && FLT_MAX_EXP == 128) | |
62 | #define IEEE_FLOATING_POINT 1 | |
63 | #else | |
64 | #define IEEE_FLOATING_POINT 0 | |
65 | #endif | |
66 | #endif | |
67 | ||
b70021f4 | 68 | #include <math.h> |
4b6baf5f | 69 | |
32085e8e | 70 | /* This declaration is omitted on some systems, like Ultrix. */ |
7a4720e2 | 71 | #if !defined (HPUX) && defined (HAVE_LOGB) && !defined (logb) |
d2aa42f8 | 72 | extern double logb (double); |
7a4720e2 | 73 | #endif /* not HPUX and HAVE_LOGB and no logb macro */ |
c26406fe | 74 | |
4b6baf5f RS |
75 | #if defined(DOMAIN) && defined(SING) && defined(OVERFLOW) |
76 | /* If those are defined, then this is probably a `matherr' machine. */ | |
77 | # ifndef HAVE_MATHERR | |
78 | # define HAVE_MATHERR | |
79 | # endif | |
80 | #endif | |
81 | ||
c0f0a4a2 | 82 | #ifdef NO_MATHERR |
f89182a2 RS |
83 | #undef HAVE_MATHERR |
84 | #endif | |
85 | ||
4b6baf5f RS |
86 | #ifdef HAVE_MATHERR |
87 | # ifdef FLOAT_CHECK_ERRNO | |
88 | # undef FLOAT_CHECK_ERRNO | |
89 | # endif | |
90 | # ifdef FLOAT_CHECK_DOMAIN | |
91 | # undef FLOAT_CHECK_DOMAIN | |
92 | # endif | |
93 | #endif | |
94 | ||
95 | #ifndef NO_FLOAT_CHECK_ERRNO | |
96 | #define FLOAT_CHECK_ERRNO | |
97 | #endif | |
98 | ||
99 | #ifdef FLOAT_CHECK_ERRNO | |
100 | # include <errno.h> | |
f12ef5eb | 101 | #endif |
265a9e55 | 102 | |
311346bb | 103 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 104 | static SIGTYPE float_error (); |
311346bb | 105 | #endif |
b70021f4 MR |
106 | |
107 | /* Nonzero while executing in floating point. | |
108 | This tells float_error what to do. */ | |
109 | ||
110 | static int in_float; | |
111 | ||
112 | /* If an argument is out of range for a mathematical function, | |
21876236 RS |
113 | here is the actual argument value to use in the error message. |
114 | These variables are used only across the floating point library call | |
115 | so there is no need to staticpro them. */ | |
b70021f4 | 116 | |
4b6baf5f RS |
117 | static Lisp_Object float_error_arg, float_error_arg2; |
118 | ||
8ea90aa3 | 119 | static const char *float_error_fn_name; |
b70021f4 | 120 | |
265a9e55 JB |
121 | /* Evaluate the floating point expression D, recording NUM |
122 | as the original argument for error messages. | |
123 | D is normally an assignment expression. | |
f8d83099 JB |
124 | Handle errors which may result in signals or may set errno. |
125 | ||
126 | Note that float_error may be declared to return void, so you can't | |
127 | just cast the zero after the colon to (SIGTYPE) to make the types | |
128 | check properly. */ | |
265a9e55 | 129 | |
4b6baf5f RS |
130 | #ifdef FLOAT_CHECK_ERRNO |
131 | #define IN_FLOAT(d, name, num) \ | |
132 | do { \ | |
133 | float_error_arg = num; \ | |
134 | float_error_fn_name = name; \ | |
135 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
136 | switch (errno) { \ | |
137 | case 0: break; \ | |
138 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
139 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
140 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
141 | } \ | |
142 | } while (0) | |
143 | #define IN_FLOAT2(d, name, num, num2) \ | |
144 | do { \ | |
145 | float_error_arg = num; \ | |
146 | float_error_arg2 = num2; \ | |
147 | float_error_fn_name = name; \ | |
148 | in_float = 1; errno = 0; (d); in_float = 0; \ | |
149 | switch (errno) { \ | |
150 | case 0: break; \ | |
151 | case EDOM: domain_error (float_error_fn_name, float_error_arg); \ | |
152 | case ERANGE: range_error (float_error_fn_name, float_error_arg); \ | |
153 | default: arith_error (float_error_fn_name, float_error_arg); \ | |
154 | } \ | |
155 | } while (0) | |
156 | #else | |
f8131ed2 | 157 | #define IN_FLOAT(d, name, num) (in_float = 1, (d), in_float = 0) |
4b6baf5f RS |
158 | #define IN_FLOAT2(d, name, num, num2) (in_float = 1, (d), in_float = 0) |
159 | #endif | |
160 | ||
81a63ccc KH |
161 | /* Convert float to Lisp_Int if it fits, else signal a range error |
162 | using the given arguments. */ | |
163 | #define FLOAT_TO_INT(x, i, name, num) \ | |
164 | do \ | |
165 | { \ | |
29d823d6 | 166 | if (FIXNUM_OVERFLOW_P (x)) \ |
81a63ccc | 167 | range_error (name, num); \ |
e0cb2a68 | 168 | XSETINT (i, (EMACS_INT)(x)); \ |
81a63ccc KH |
169 | } \ |
170 | while (0) | |
171 | #define FLOAT_TO_INT2(x, i, name, num1, num2) \ | |
172 | do \ | |
173 | { \ | |
29d823d6 | 174 | if (FIXNUM_OVERFLOW_P (x)) \ |
81a63ccc | 175 | range_error2 (name, num1, num2); \ |
e0cb2a68 | 176 | XSETINT (i, (EMACS_INT)(x)); \ |
81a63ccc KH |
177 | } \ |
178 | while (0) | |
179 | ||
4b6baf5f | 180 | #define arith_error(op,arg) \ |
edef1631 | 181 | xsignal2 (Qarith_error, build_string ((op)), (arg)) |
4b6baf5f | 182 | #define range_error(op,arg) \ |
edef1631 | 183 | xsignal2 (Qrange_error, build_string ((op)), (arg)) |
81a63ccc | 184 | #define range_error2(op,a1,a2) \ |
edef1631 | 185 | xsignal3 (Qrange_error, build_string ((op)), (a1), (a2)) |
4b6baf5f | 186 | #define domain_error(op,arg) \ |
edef1631 | 187 | xsignal2 (Qdomain_error, build_string ((op)), (arg)) |
4b6baf5f | 188 | #define domain_error2(op,a1,a2) \ |
edef1631 | 189 | xsignal3 (Qdomain_error, build_string ((op)), (a1), (a2)) |
b70021f4 MR |
190 | |
191 | /* Extract a Lisp number as a `double', or signal an error. */ | |
192 | ||
193 | double | |
d5a3eaaf | 194 | extract_float (Lisp_Object num) |
b70021f4 | 195 | { |
b7826503 | 196 | CHECK_NUMBER_OR_FLOAT (num); |
b70021f4 | 197 | |
207a45c1 | 198 | if (FLOATP (num)) |
70949dac | 199 | return XFLOAT_DATA (num); |
b70021f4 MR |
200 | return (double) XINT (num); |
201 | } | |
c2d4ea74 RS |
202 | \f |
203 | /* Trig functions. */ | |
b70021f4 MR |
204 | |
205 | DEFUN ("acos", Facos, Sacos, 1, 1, 0, | |
335c5470 | 206 | doc: /* Return the inverse cosine of ARG. */) |
5842a27b | 207 | (register Lisp_Object arg) |
b70021f4 | 208 | { |
4b6baf5f RS |
209 | double d = extract_float (arg); |
210 | #ifdef FLOAT_CHECK_DOMAIN | |
211 | if (d > 1.0 || d < -1.0) | |
212 | domain_error ("acos", arg); | |
213 | #endif | |
214 | IN_FLOAT (d = acos (d), "acos", arg); | |
b70021f4 MR |
215 | return make_float (d); |
216 | } | |
217 | ||
c2d4ea74 | 218 | DEFUN ("asin", Fasin, Sasin, 1, 1, 0, |
335c5470 | 219 | doc: /* Return the inverse sine of ARG. */) |
5842a27b | 220 | (register Lisp_Object arg) |
b70021f4 | 221 | { |
4b6baf5f RS |
222 | double d = extract_float (arg); |
223 | #ifdef FLOAT_CHECK_DOMAIN | |
224 | if (d > 1.0 || d < -1.0) | |
225 | domain_error ("asin", arg); | |
226 | #endif | |
227 | IN_FLOAT (d = asin (d), "asin", arg); | |
b70021f4 MR |
228 | return make_float (d); |
229 | } | |
230 | ||
250ffca6 EZ |
231 | DEFUN ("atan", Fatan, Satan, 1, 2, 0, |
232 | doc: /* Return the inverse tangent of the arguments. | |
233 | If only one argument Y is given, return the inverse tangent of Y. | |
234 | If two arguments Y and X are given, return the inverse tangent of Y | |
235 | divided by X, i.e. the angle in radians between the vector (X, Y) | |
236 | and the x-axis. */) | |
5842a27b | 237 | (register Lisp_Object y, Lisp_Object x) |
b70021f4 | 238 | { |
250ffca6 EZ |
239 | double d = extract_float (y); |
240 | ||
241 | if (NILP (x)) | |
242 | IN_FLOAT (d = atan (d), "atan", y); | |
243 | else | |
244 | { | |
245 | double d2 = extract_float (x); | |
246 | ||
247 | IN_FLOAT2 (d = atan2 (d, d2), "atan", y, x); | |
248 | } | |
b70021f4 MR |
249 | return make_float (d); |
250 | } | |
251 | ||
c2d4ea74 | 252 | DEFUN ("cos", Fcos, Scos, 1, 1, 0, |
335c5470 | 253 | doc: /* Return the cosine of ARG. */) |
5842a27b | 254 | (register Lisp_Object arg) |
b70021f4 | 255 | { |
4b6baf5f RS |
256 | double d = extract_float (arg); |
257 | IN_FLOAT (d = cos (d), "cos", arg); | |
b70021f4 MR |
258 | return make_float (d); |
259 | } | |
260 | ||
c2d4ea74 | 261 | DEFUN ("sin", Fsin, Ssin, 1, 1, 0, |
335c5470 | 262 | doc: /* Return the sine of ARG. */) |
5842a27b | 263 | (register Lisp_Object arg) |
b70021f4 | 264 | { |
4b6baf5f RS |
265 | double d = extract_float (arg); |
266 | IN_FLOAT (d = sin (d), "sin", arg); | |
b70021f4 MR |
267 | return make_float (d); |
268 | } | |
269 | ||
c2d4ea74 | 270 | DEFUN ("tan", Ftan, Stan, 1, 1, 0, |
335c5470 | 271 | doc: /* Return the tangent of ARG. */) |
5842a27b | 272 | (register Lisp_Object arg) |
4b6baf5f RS |
273 | { |
274 | double d = extract_float (arg); | |
275 | double c = cos (d); | |
276 | #ifdef FLOAT_CHECK_DOMAIN | |
277 | if (c == 0.0) | |
278 | domain_error ("tan", arg); | |
279 | #endif | |
280 | IN_FLOAT (d = sin (d) / c, "tan", arg); | |
b70021f4 MR |
281 | return make_float (d); |
282 | } | |
15e12598 VB |
283 | |
284 | #if defined HAVE_ISNAN && defined HAVE_COPYSIGN | |
285 | DEFUN ("isnan", Fisnan, Sisnan, 1, 1, 0, | |
286 | doc: /* Return non nil iff argument X is a NaN. */) | |
5842a27b | 287 | (Lisp_Object x) |
15e12598 VB |
288 | { |
289 | CHECK_FLOAT (x); | |
290 | return isnan (XFLOAT_DATA (x)) ? Qt : Qnil; | |
291 | } | |
292 | ||
293 | DEFUN ("copysign", Fcopysign, Scopysign, 1, 2, 0, | |
294 | doc: /* Copy sign of X2 to value of X1, and return the result. | |
295 | Cause an error if X1 or X2 is not a float. */) | |
5842a27b | 296 | (Lisp_Object x1, Lisp_Object x2) |
15e12598 VB |
297 | { |
298 | double f1, f2; | |
299 | ||
300 | CHECK_FLOAT (x1); | |
301 | CHECK_FLOAT (x2); | |
302 | ||
303 | f1 = XFLOAT_DATA (x1); | |
304 | f2 = XFLOAT_DATA (x2); | |
305 | ||
306 | return make_float (copysign (f1, f2)); | |
307 | } | |
308 | ||
309 | DEFUN ("frexp", Ffrexp, Sfrexp, 1, 1, 0, | |
310 | doc: /* Get significand and exponent of a floating point number. | |
311 | Breaks the floating point number X into its binary significand SGNFCAND | |
312 | \(a floating point value between 0.5 (included) and 1.0 (excluded)) | |
313 | and an integral exponent EXP for 2, such that: | |
314 | ||
315 | X = SGNFCAND * 2^EXP | |
316 | ||
317 | The function returns the cons cell (SGNFCAND . EXP). | |
318 | If X is zero, both parts (SGNFCAND and EXP) are zero. */) | |
5842a27b | 319 | (Lisp_Object x) |
15e12598 VB |
320 | { |
321 | double f = XFLOATINT (x); | |
322 | ||
323 | if (f == 0.0) | |
324 | return Fcons (make_float (0.0), make_number (0)); | |
325 | else | |
326 | { | |
327 | int exp; | |
328 | double sgnfcand = frexp (f, &exp); | |
329 | return Fcons (make_float (sgnfcand), make_number (exp)); | |
330 | } | |
331 | } | |
332 | ||
333 | DEFUN ("ldexp", Fldexp, Sldexp, 1, 2, 0, | |
334 | doc: /* Construct number X from significand SGNFCAND and exponent EXP. | |
335 | Returns the floating point value resulting from multiplying SGNFCAND | |
336 | (the significand) by 2 raised to the power of EXP (the exponent). */) | |
5842a27b | 337 | (Lisp_Object sgnfcand, Lisp_Object exp) |
15e12598 VB |
338 | { |
339 | CHECK_NUMBER (exp); | |
340 | return make_float (ldexp (XFLOATINT (sgnfcand), XINT (exp))); | |
341 | } | |
342 | #endif | |
b70021f4 | 343 | \f |
c2d4ea74 RS |
344 | #if 0 /* Leave these out unless we find there's a reason for them. */ |
345 | ||
b70021f4 | 346 | DEFUN ("bessel-j0", Fbessel_j0, Sbessel_j0, 1, 1, 0, |
335c5470 | 347 | doc: /* Return the bessel function j0 of ARG. */) |
5842a27b | 348 | (register Lisp_Object arg) |
b70021f4 | 349 | { |
4b6baf5f RS |
350 | double d = extract_float (arg); |
351 | IN_FLOAT (d = j0 (d), "bessel-j0", arg); | |
b70021f4 MR |
352 | return make_float (d); |
353 | } | |
354 | ||
355 | DEFUN ("bessel-j1", Fbessel_j1, Sbessel_j1, 1, 1, 0, | |
335c5470 | 356 | doc: /* Return the bessel function j1 of ARG. */) |
5842a27b | 357 | (register Lisp_Object arg) |
b70021f4 | 358 | { |
4b6baf5f RS |
359 | double d = extract_float (arg); |
360 | IN_FLOAT (d = j1 (d), "bessel-j1", arg); | |
b70021f4 MR |
361 | return make_float (d); |
362 | } | |
363 | ||
364 | DEFUN ("bessel-jn", Fbessel_jn, Sbessel_jn, 2, 2, 0, | |
335c5470 PJ |
365 | doc: /* Return the order N bessel function output jn of ARG. |
366 | The first arg (the order) is truncated to an integer. */) | |
5842a27b | 367 | (register Lisp_Object n, Lisp_Object arg) |
b70021f4 | 368 | { |
3e670702 EN |
369 | int i1 = extract_float (n); |
370 | double f2 = extract_float (arg); | |
b70021f4 | 371 | |
3e670702 | 372 | IN_FLOAT (f2 = jn (i1, f2), "bessel-jn", n); |
b70021f4 MR |
373 | return make_float (f2); |
374 | } | |
375 | ||
376 | DEFUN ("bessel-y0", Fbessel_y0, Sbessel_y0, 1, 1, 0, | |
335c5470 | 377 | doc: /* Return the bessel function y0 of ARG. */) |
5842a27b | 378 | (register Lisp_Object arg) |
b70021f4 | 379 | { |
4b6baf5f RS |
380 | double d = extract_float (arg); |
381 | IN_FLOAT (d = y0 (d), "bessel-y0", arg); | |
b70021f4 MR |
382 | return make_float (d); |
383 | } | |
384 | ||
385 | DEFUN ("bessel-y1", Fbessel_y1, Sbessel_y1, 1, 1, 0, | |
335c5470 | 386 | doc: /* Return the bessel function y1 of ARG. */) |
5842a27b | 387 | (register Lisp_Object arg) |
b70021f4 | 388 | { |
4b6baf5f RS |
389 | double d = extract_float (arg); |
390 | IN_FLOAT (d = y1 (d), "bessel-y0", arg); | |
b70021f4 MR |
391 | return make_float (d); |
392 | } | |
393 | ||
394 | DEFUN ("bessel-yn", Fbessel_yn, Sbessel_yn, 2, 2, 0, | |
335c5470 PJ |
395 | doc: /* Return the order N bessel function output yn of ARG. |
396 | The first arg (the order) is truncated to an integer. */) | |
5842a27b | 397 | (register Lisp_Object n, Lisp_Object arg) |
b70021f4 | 398 | { |
3e670702 EN |
399 | int i1 = extract_float (n); |
400 | double f2 = extract_float (arg); | |
b70021f4 | 401 | |
3e670702 | 402 | IN_FLOAT (f2 = yn (i1, f2), "bessel-yn", n); |
b70021f4 MR |
403 | return make_float (f2); |
404 | } | |
b70021f4 | 405 | |
c2d4ea74 RS |
406 | #endif |
407 | \f | |
408 | #if 0 /* Leave these out unless we see they are worth having. */ | |
b70021f4 MR |
409 | |
410 | DEFUN ("erf", Ferf, Serf, 1, 1, 0, | |
335c5470 | 411 | doc: /* Return the mathematical error function of ARG. */) |
5842a27b | 412 | (register Lisp_Object arg) |
b70021f4 | 413 | { |
4b6baf5f RS |
414 | double d = extract_float (arg); |
415 | IN_FLOAT (d = erf (d), "erf", arg); | |
b70021f4 MR |
416 | return make_float (d); |
417 | } | |
418 | ||
419 | DEFUN ("erfc", Ferfc, Serfc, 1, 1, 0, | |
335c5470 | 420 | doc: /* Return the complementary error function of ARG. */) |
5842a27b | 421 | (register Lisp_Object arg) |
b70021f4 | 422 | { |
4b6baf5f RS |
423 | double d = extract_float (arg); |
424 | IN_FLOAT (d = erfc (d), "erfc", arg); | |
b70021f4 MR |
425 | return make_float (d); |
426 | } | |
427 | ||
b70021f4 | 428 | DEFUN ("log-gamma", Flog_gamma, Slog_gamma, 1, 1, 0, |
335c5470 | 429 | doc: /* Return the log gamma of ARG. */) |
5842a27b | 430 | (register Lisp_Object arg) |
b70021f4 | 431 | { |
4b6baf5f RS |
432 | double d = extract_float (arg); |
433 | IN_FLOAT (d = lgamma (d), "log-gamma", arg); | |
b70021f4 MR |
434 | return make_float (d); |
435 | } | |
436 | ||
4b6baf5f | 437 | DEFUN ("cube-root", Fcube_root, Scube_root, 1, 1, 0, |
335c5470 | 438 | doc: /* Return the cube root of ARG. */) |
5842a27b | 439 | (register Lisp_Object arg) |
b70021f4 | 440 | { |
4b6baf5f RS |
441 | double d = extract_float (arg); |
442 | #ifdef HAVE_CBRT | |
443 | IN_FLOAT (d = cbrt (d), "cube-root", arg); | |
444 | #else | |
445 | if (d >= 0.0) | |
446 | IN_FLOAT (d = pow (d, 1.0/3.0), "cube-root", arg); | |
447 | else | |
448 | IN_FLOAT (d = -pow (-d, 1.0/3.0), "cube-root", arg); | |
449 | #endif | |
b70021f4 MR |
450 | return make_float (d); |
451 | } | |
452 | ||
706ac90d RS |
453 | #endif |
454 | \f | |
c2d4ea74 | 455 | DEFUN ("exp", Fexp, Sexp, 1, 1, 0, |
335c5470 | 456 | doc: /* Return the exponential base e of ARG. */) |
5842a27b | 457 | (register Lisp_Object arg) |
4b6baf5f RS |
458 | { |
459 | double d = extract_float (arg); | |
460 | #ifdef FLOAT_CHECK_DOMAIN | |
461 | if (d > 709.7827) /* Assume IEEE doubles here */ | |
462 | range_error ("exp", arg); | |
463 | else if (d < -709.0) | |
464 | return make_float (0.0); | |
465 | else | |
466 | #endif | |
467 | IN_FLOAT (d = exp (d), "exp", arg); | |
b70021f4 MR |
468 | return make_float (d); |
469 | } | |
470 | ||
b70021f4 | 471 | DEFUN ("expt", Fexpt, Sexpt, 2, 2, 0, |
335c5470 | 472 | doc: /* Return the exponential ARG1 ** ARG2. */) |
5842a27b | 473 | (register Lisp_Object arg1, Lisp_Object arg2) |
b70021f4 | 474 | { |
2742fe30 | 475 | double f1, f2, f3; |
b70021f4 | 476 | |
b7826503 PJ |
477 | CHECK_NUMBER_OR_FLOAT (arg1); |
478 | CHECK_NUMBER_OR_FLOAT (arg2); | |
207a45c1 | 479 | if (INTEGERP (arg1) /* common lisp spec */ |
5a9807a8 TTN |
480 | && INTEGERP (arg2) /* don't promote, if both are ints, and */ |
481 | && 0 <= XINT (arg2)) /* we are sure the result is not fractional */ | |
b70021f4 | 482 | { /* this can be improved by pre-calculating */ |
9a51b24a | 483 | EMACS_INT acc, x, y; /* some binary powers of x then accumulating */ |
4be1d460 RS |
484 | Lisp_Object val; |
485 | ||
4b6baf5f RS |
486 | x = XINT (arg1); |
487 | y = XINT (arg2); | |
b70021f4 | 488 | acc = 1; |
177c0ea7 | 489 | |
b70021f4 MR |
490 | if (y < 0) |
491 | { | |
4b6baf5f RS |
492 | if (x == 1) |
493 | acc = 1; | |
494 | else if (x == -1) | |
495 | acc = (y & 1) ? -1 : 1; | |
496 | else | |
497 | acc = 0; | |
b70021f4 MR |
498 | } |
499 | else | |
500 | { | |
4b6baf5f RS |
501 | while (y > 0) |
502 | { | |
503 | if (y & 1) | |
504 | acc *= x; | |
505 | x *= x; | |
506 | y = (unsigned)y >> 1; | |
507 | } | |
b70021f4 | 508 | } |
e0cb2a68 | 509 | XSETINT (val, acc); |
4be1d460 | 510 | return val; |
b70021f4 | 511 | } |
70949dac KR |
512 | f1 = FLOATP (arg1) ? XFLOAT_DATA (arg1) : XINT (arg1); |
513 | f2 = FLOATP (arg2) ? XFLOAT_DATA (arg2) : XINT (arg2); | |
4b6baf5f RS |
514 | /* Really should check for overflow, too */ |
515 | if (f1 == 0.0 && f2 == 0.0) | |
516 | f1 = 1.0; | |
517 | #ifdef FLOAT_CHECK_DOMAIN | |
518 | else if ((f1 == 0.0 && f2 < 0.0) || (f1 < 0 && f2 != floor(f2))) | |
519 | domain_error2 ("expt", arg1, arg2); | |
520 | #endif | |
2742fe30 MC |
521 | IN_FLOAT2 (f3 = pow (f1, f2), "expt", arg1, arg2); |
522 | /* Check for overflow in the result. */ | |
523 | if (f1 != 0.0 && f3 == 0.0) | |
524 | range_error ("expt", arg1); | |
525 | return make_float (f3); | |
b70021f4 | 526 | } |
c2d4ea74 | 527 | |
56abb480 | 528 | DEFUN ("log", Flog, Slog, 1, 2, 0, |
335c5470 | 529 | doc: /* Return the natural logarithm of ARG. |
356e6d8d | 530 | If the optional argument BASE is given, return log ARG using that base. */) |
5842a27b | 531 | (register Lisp_Object arg, Lisp_Object base) |
b70021f4 | 532 | { |
4b6baf5f | 533 | double d = extract_float (arg); |
56abb480 | 534 | |
4b6baf5f RS |
535 | #ifdef FLOAT_CHECK_DOMAIN |
536 | if (d <= 0.0) | |
537 | domain_error2 ("log", arg, base); | |
538 | #endif | |
56abb480 | 539 | if (NILP (base)) |
4b6baf5f | 540 | IN_FLOAT (d = log (d), "log", arg); |
56abb480 JB |
541 | else |
542 | { | |
543 | double b = extract_float (base); | |
544 | ||
4b6baf5f RS |
545 | #ifdef FLOAT_CHECK_DOMAIN |
546 | if (b <= 0.0 || b == 1.0) | |
547 | domain_error2 ("log", arg, base); | |
548 | #endif | |
549 | if (b == 10.0) | |
550 | IN_FLOAT2 (d = log10 (d), "log", arg, base); | |
551 | else | |
f8131ed2 | 552 | IN_FLOAT2 (d = log (d) / log (b), "log", arg, base); |
56abb480 | 553 | } |
b70021f4 MR |
554 | return make_float (d); |
555 | } | |
556 | ||
c2d4ea74 | 557 | DEFUN ("log10", Flog10, Slog10, 1, 1, 0, |
335c5470 | 558 | doc: /* Return the logarithm base 10 of ARG. */) |
5842a27b | 559 | (register Lisp_Object arg) |
b70021f4 | 560 | { |
4b6baf5f RS |
561 | double d = extract_float (arg); |
562 | #ifdef FLOAT_CHECK_DOMAIN | |
563 | if (d <= 0.0) | |
564 | domain_error ("log10", arg); | |
565 | #endif | |
566 | IN_FLOAT (d = log10 (d), "log10", arg); | |
c2d4ea74 RS |
567 | return make_float (d); |
568 | } | |
569 | ||
b70021f4 | 570 | DEFUN ("sqrt", Fsqrt, Ssqrt, 1, 1, 0, |
335c5470 | 571 | doc: /* Return the square root of ARG. */) |
5842a27b | 572 | (register Lisp_Object arg) |
b70021f4 | 573 | { |
4b6baf5f RS |
574 | double d = extract_float (arg); |
575 | #ifdef FLOAT_CHECK_DOMAIN | |
576 | if (d < 0.0) | |
577 | domain_error ("sqrt", arg); | |
578 | #endif | |
579 | IN_FLOAT (d = sqrt (d), "sqrt", arg); | |
b70021f4 MR |
580 | return make_float (d); |
581 | } | |
c2d4ea74 | 582 | \f |
706ac90d | 583 | #if 0 /* Not clearly worth adding. */ |
b70021f4 | 584 | |
c2d4ea74 | 585 | DEFUN ("acosh", Facosh, Sacosh, 1, 1, 0, |
335c5470 | 586 | doc: /* Return the inverse hyperbolic cosine of ARG. */) |
5842a27b | 587 | (register Lisp_Object arg) |
b70021f4 | 588 | { |
4b6baf5f RS |
589 | double d = extract_float (arg); |
590 | #ifdef FLOAT_CHECK_DOMAIN | |
591 | if (d < 1.0) | |
592 | domain_error ("acosh", arg); | |
593 | #endif | |
594 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
595 | IN_FLOAT (d = acosh (d), "acosh", arg); | |
596 | #else | |
597 | IN_FLOAT (d = log (d + sqrt (d*d - 1.0)), "acosh", arg); | |
598 | #endif | |
c2d4ea74 RS |
599 | return make_float (d); |
600 | } | |
601 | ||
602 | DEFUN ("asinh", Fasinh, Sasinh, 1, 1, 0, | |
335c5470 | 603 | doc: /* Return the inverse hyperbolic sine of ARG. */) |
5842a27b | 604 | (register Lisp_Object arg) |
c2d4ea74 | 605 | { |
4b6baf5f RS |
606 | double d = extract_float (arg); |
607 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
608 | IN_FLOAT (d = asinh (d), "asinh", arg); | |
609 | #else | |
610 | IN_FLOAT (d = log (d + sqrt (d*d + 1.0)), "asinh", arg); | |
611 | #endif | |
c2d4ea74 RS |
612 | return make_float (d); |
613 | } | |
614 | ||
615 | DEFUN ("atanh", Fatanh, Satanh, 1, 1, 0, | |
335c5470 | 616 | doc: /* Return the inverse hyperbolic tangent of ARG. */) |
5842a27b | 617 | (register Lisp_Object arg) |
c2d4ea74 | 618 | { |
4b6baf5f RS |
619 | double d = extract_float (arg); |
620 | #ifdef FLOAT_CHECK_DOMAIN | |
621 | if (d >= 1.0 || d <= -1.0) | |
622 | domain_error ("atanh", arg); | |
623 | #endif | |
624 | #ifdef HAVE_INVERSE_HYPERBOLIC | |
625 | IN_FLOAT (d = atanh (d), "atanh", arg); | |
626 | #else | |
627 | IN_FLOAT (d = 0.5 * log ((1.0 + d) / (1.0 - d)), "atanh", arg); | |
628 | #endif | |
c2d4ea74 RS |
629 | return make_float (d); |
630 | } | |
631 | ||
632 | DEFUN ("cosh", Fcosh, Scosh, 1, 1, 0, | |
335c5470 | 633 | doc: /* Return the hyperbolic cosine of ARG. */) |
5842a27b | 634 | (register Lisp_Object arg) |
c2d4ea74 | 635 | { |
4b6baf5f RS |
636 | double d = extract_float (arg); |
637 | #ifdef FLOAT_CHECK_DOMAIN | |
638 | if (d > 710.0 || d < -710.0) | |
639 | range_error ("cosh", arg); | |
640 | #endif | |
641 | IN_FLOAT (d = cosh (d), "cosh", arg); | |
c2d4ea74 RS |
642 | return make_float (d); |
643 | } | |
644 | ||
645 | DEFUN ("sinh", Fsinh, Ssinh, 1, 1, 0, | |
335c5470 | 646 | doc: /* Return the hyperbolic sine of ARG. */) |
5842a27b | 647 | (register Lisp_Object arg) |
c2d4ea74 | 648 | { |
4b6baf5f RS |
649 | double d = extract_float (arg); |
650 | #ifdef FLOAT_CHECK_DOMAIN | |
651 | if (d > 710.0 || d < -710.0) | |
652 | range_error ("sinh", arg); | |
653 | #endif | |
654 | IN_FLOAT (d = sinh (d), "sinh", arg); | |
b70021f4 MR |
655 | return make_float (d); |
656 | } | |
657 | ||
658 | DEFUN ("tanh", Ftanh, Stanh, 1, 1, 0, | |
335c5470 | 659 | doc: /* Return the hyperbolic tangent of ARG. */) |
5842a27b | 660 | (register Lisp_Object arg) |
b70021f4 | 661 | { |
4b6baf5f RS |
662 | double d = extract_float (arg); |
663 | IN_FLOAT (d = tanh (d), "tanh", arg); | |
b70021f4 MR |
664 | return make_float (d); |
665 | } | |
c2d4ea74 | 666 | #endif |
b70021f4 MR |
667 | \f |
668 | DEFUN ("abs", Fabs, Sabs, 1, 1, 0, | |
335c5470 | 669 | doc: /* Return the absolute value of ARG. */) |
5842a27b | 670 | (register Lisp_Object arg) |
b70021f4 | 671 | { |
b7826503 | 672 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 673 | |
207a45c1 | 674 | if (FLOATP (arg)) |
70949dac | 675 | IN_FLOAT (arg = make_float (fabs (XFLOAT_DATA (arg))), "abs", arg); |
4b6baf5f | 676 | else if (XINT (arg) < 0) |
db37cb37 | 677 | XSETINT (arg, - XINT (arg)); |
b70021f4 | 678 | |
4b6baf5f | 679 | return arg; |
b70021f4 MR |
680 | } |
681 | ||
682 | DEFUN ("float", Ffloat, Sfloat, 1, 1, 0, | |
335c5470 | 683 | doc: /* Return the floating point number equal to ARG. */) |
5842a27b | 684 | (register Lisp_Object arg) |
b70021f4 | 685 | { |
b7826503 | 686 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 687 | |
207a45c1 | 688 | if (INTEGERP (arg)) |
4b6baf5f | 689 | return make_float ((double) XINT (arg)); |
b70021f4 | 690 | else /* give 'em the same float back */ |
4b6baf5f | 691 | return arg; |
b70021f4 MR |
692 | } |
693 | ||
694 | DEFUN ("logb", Flogb, Slogb, 1, 1, 0, | |
335c5470 PJ |
695 | doc: /* Returns largest integer <= the base 2 log of the magnitude of ARG. |
696 | This is the same as the exponent of a float. */) | |
5842a27b | 697 | (Lisp_Object arg) |
b70021f4 | 698 | { |
340176df | 699 | Lisp_Object val; |
a7bf3c54 | 700 | EMACS_INT value; |
5bf54166 | 701 | double f = extract_float (arg); |
340176df | 702 | |
6694b327 | 703 | if (f == 0.0) |
b916d672 | 704 | value = MOST_NEGATIVE_FIXNUM; |
6694b327 KH |
705 | else |
706 | { | |
6d3c6adb | 707 | #ifdef HAVE_LOGB |
6694b327 | 708 | IN_FLOAT (value = logb (f), "logb", arg); |
6d3c6adb JB |
709 | #else |
710 | #ifdef HAVE_FREXP | |
c8bf6cf3 KH |
711 | int ivalue; |
712 | IN_FLOAT (frexp (f, &ivalue), "logb", arg); | |
713 | value = ivalue - 1; | |
c26406fe | 714 | #else |
6694b327 KH |
715 | int i; |
716 | double d; | |
717 | if (f < 0.0) | |
718 | f = -f; | |
719 | value = -1; | |
720 | while (f < 0.5) | |
721 | { | |
722 | for (i = 1, d = 0.5; d * d >= f; i += i) | |
723 | d *= d; | |
724 | f /= d; | |
725 | value -= i; | |
726 | } | |
727 | while (f >= 1.0) | |
728 | { | |
729 | for (i = 1, d = 2.0; d * d <= f; i += i) | |
730 | d *= d; | |
731 | f /= d; | |
732 | value += i; | |
733 | } | |
6d3c6adb | 734 | #endif |
340176df | 735 | #endif |
6694b327 | 736 | } |
e0cb2a68 | 737 | XSETINT (val, value); |
c26406fe | 738 | return val; |
b70021f4 MR |
739 | } |
740 | ||
fc2157cb | 741 | |
acbbacbe PE |
742 | /* the rounding functions */ |
743 | ||
744 | static Lisp_Object | |
d2aa42f8 DN |
745 | rounding_driver (Lisp_Object arg, Lisp_Object divisor, |
746 | double (*double_round) (double), | |
747 | EMACS_INT (*int_round2) (EMACS_INT, EMACS_INT), | |
8ea90aa3 | 748 | const char *name) |
b70021f4 | 749 | { |
b7826503 | 750 | CHECK_NUMBER_OR_FLOAT (arg); |
b70021f4 | 751 | |
fc2157cb PE |
752 | if (! NILP (divisor)) |
753 | { | |
9a51b24a | 754 | EMACS_INT i1, i2; |
fc2157cb | 755 | |
b7826503 | 756 | CHECK_NUMBER_OR_FLOAT (divisor); |
fc2157cb | 757 | |
207a45c1 | 758 | if (FLOATP (arg) || FLOATP (divisor)) |
fc2157cb PE |
759 | { |
760 | double f1, f2; | |
761 | ||
70949dac KR |
762 | f1 = FLOATP (arg) ? XFLOAT_DATA (arg) : XINT (arg); |
763 | f2 = (FLOATP (divisor) ? XFLOAT_DATA (divisor) : XINT (divisor)); | |
d137ae2f | 764 | if (! IEEE_FLOATING_POINT && f2 == 0) |
edef1631 | 765 | xsignal0 (Qarith_error); |
fc2157cb | 766 | |
acbbacbe PE |
767 | IN_FLOAT2 (f1 = (*double_round) (f1 / f2), name, arg, divisor); |
768 | FLOAT_TO_INT2 (f1, arg, name, arg, divisor); | |
fc2157cb PE |
769 | return arg; |
770 | } | |
fc2157cb PE |
771 | |
772 | i1 = XINT (arg); | |
773 | i2 = XINT (divisor); | |
774 | ||
775 | if (i2 == 0) | |
edef1631 | 776 | xsignal0 (Qarith_error); |
fc2157cb | 777 | |
acbbacbe | 778 | XSETINT (arg, (*int_round2) (i1, i2)); |
fc2157cb PE |
779 | return arg; |
780 | } | |
781 | ||
207a45c1 | 782 | if (FLOATP (arg)) |
81a63ccc KH |
783 | { |
784 | double d; | |
acbbacbe | 785 | |
70949dac | 786 | IN_FLOAT (d = (*double_round) (XFLOAT_DATA (arg)), name, arg); |
acbbacbe | 787 | FLOAT_TO_INT (d, arg, name, arg); |
81a63ccc | 788 | } |
b70021f4 | 789 | |
4b6baf5f | 790 | return arg; |
b70021f4 MR |
791 | } |
792 | ||
acbbacbe PE |
793 | /* With C's /, the result is implementation-defined if either operand |
794 | is negative, so take care with negative operands in the following | |
795 | integer functions. */ | |
796 | ||
797 | static EMACS_INT | |
d2aa42f8 | 798 | ceiling2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
799 | { |
800 | return (i2 < 0 | |
801 | ? (i1 < 0 ? ((-1 - i1) / -i2) + 1 : - (i1 / -i2)) | |
802 | : (i1 <= 0 ? - (-i1 / i2) : ((i1 - 1) / i2) + 1)); | |
803 | } | |
804 | ||
805 | static EMACS_INT | |
d2aa42f8 | 806 | floor2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
807 | { |
808 | return (i2 < 0 | |
809 | ? (i1 <= 0 ? -i1 / -i2 : -1 - ((i1 - 1) / -i2)) | |
810 | : (i1 < 0 ? -1 - ((-1 - i1) / i2) : i1 / i2)); | |
811 | } | |
812 | ||
813 | static EMACS_INT | |
d2aa42f8 | 814 | truncate2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
815 | { |
816 | return (i2 < 0 | |
817 | ? (i1 < 0 ? -i1 / -i2 : - (i1 / -i2)) | |
818 | : (i1 < 0 ? - (-i1 / i2) : i1 / i2)); | |
819 | } | |
820 | ||
821 | static EMACS_INT | |
d2aa42f8 | 822 | round2 (EMACS_INT i1, EMACS_INT i2) |
acbbacbe PE |
823 | { |
824 | /* The C language's division operator gives us one remainder R, but | |
825 | we want the remainder R1 on the other side of 0 if R1 is closer | |
826 | to 0 than R is; because we want to round to even, we also want R1 | |
827 | if R and R1 are the same distance from 0 and if C's quotient is | |
828 | odd. */ | |
829 | EMACS_INT q = i1 / i2; | |
830 | EMACS_INT r = i1 % i2; | |
831 | EMACS_INT abs_r = r < 0 ? -r : r; | |
832 | EMACS_INT abs_r1 = (i2 < 0 ? -i2 : i2) - abs_r; | |
833 | return q + (abs_r + (q & 1) <= abs_r1 ? 0 : (i2 ^ r) < 0 ? -1 : 1); | |
834 | } | |
835 | ||
dca6c914 RS |
836 | /* The code uses emacs_rint, so that it works to undefine HAVE_RINT |
837 | if `rint' exists but does not work right. */ | |
838 | #ifdef HAVE_RINT | |
839 | #define emacs_rint rint | |
840 | #else | |
4b5878a8 | 841 | static double |
d2aa42f8 | 842 | emacs_rint (double d) |
4b5878a8 | 843 | { |
1b65c684 | 844 | return floor (d + 0.5); |
4b5878a8 KH |
845 | } |
846 | #endif | |
847 | ||
acbbacbe | 848 | static double |
d2aa42f8 | 849 | double_identity (double d) |
acbbacbe PE |
850 | { |
851 | return d; | |
852 | } | |
853 | ||
854 | DEFUN ("ceiling", Fceiling, Sceiling, 1, 2, 0, | |
1d6ea92f RS |
855 | doc: /* Return the smallest integer no less than ARG. |
856 | This rounds the value towards +inf. | |
335c5470 | 857 | With optional DIVISOR, return the smallest integer no less than ARG/DIVISOR. */) |
5842a27b | 858 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe PE |
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 | 866 | With optional DIVISOR, return the largest integer no greater than ARG/DIVISOR. */) |
5842a27b | 867 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe PE |
868 | { |
869 | return rounding_driver (arg, divisor, floor, floor2, "floor"); | |
870 | } | |
871 | ||
872 | DEFUN ("round", Fround, Sround, 1, 2, 0, | |
335c5470 | 873 | doc: /* Return the nearest integer to ARG. |
6ded2c89 EZ |
874 | With optional DIVISOR, return the nearest integer to ARG/DIVISOR. |
875 | ||
a32a4857 EZ |
876 | Rounding a value equidistant between two integers may choose the |
877 | integer closer to zero, or it may prefer an even integer, depending on | |
878 | your machine. For example, \(round 2.5\) can return 3 on some | |
59fe0cee | 879 | systems, but 2 on others. */) |
5842a27b | 880 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe | 881 | { |
dca6c914 | 882 | return rounding_driver (arg, divisor, emacs_rint, round2, "round"); |
acbbacbe PE |
883 | } |
884 | ||
885 | DEFUN ("truncate", Ftruncate, Struncate, 1, 2, 0, | |
335c5470 PJ |
886 | doc: /* Truncate a floating point number to an int. |
887 | Rounds ARG toward zero. | |
888 | With optional DIVISOR, truncate ARG/DIVISOR. */) | |
5842a27b | 889 | (Lisp_Object arg, Lisp_Object divisor) |
acbbacbe PE |
890 | { |
891 | return rounding_driver (arg, divisor, double_identity, truncate2, | |
892 | "truncate"); | |
893 | } | |
894 | ||
fc2157cb | 895 | |
d137ae2f | 896 | Lisp_Object |
dd4c5104 | 897 | fmod_float (Lisp_Object x, Lisp_Object y) |
d137ae2f PE |
898 | { |
899 | double f1, f2; | |
900 | ||
70949dac KR |
901 | f1 = FLOATP (x) ? XFLOAT_DATA (x) : XINT (x); |
902 | f2 = FLOATP (y) ? XFLOAT_DATA (y) : XINT (y); | |
d137ae2f PE |
903 | |
904 | if (! IEEE_FLOATING_POINT && f2 == 0) | |
edef1631 | 905 | xsignal0 (Qarith_error); |
d137ae2f PE |
906 | |
907 | /* If the "remainder" comes out with the wrong sign, fix it. */ | |
908 | IN_FLOAT2 ((f1 = fmod (f1, f2), | |
909 | f1 = (f2 < 0 ? f1 > 0 : f1 < 0) ? f1 + f2 : f1), | |
910 | "mod", x, y); | |
911 | return make_float (f1); | |
912 | } | |
4b6baf5f | 913 | \f |
4b6baf5f RS |
914 | /* It's not clear these are worth adding. */ |
915 | ||
916 | DEFUN ("fceiling", Ffceiling, Sfceiling, 1, 1, 0, | |
335c5470 PJ |
917 | doc: /* Return the smallest integer no less than ARG, as a float. |
918 | \(Round toward +inf.\) */) | |
5842a27b | 919 | (register Lisp_Object arg) |
4b6baf5f RS |
920 | { |
921 | double d = extract_float (arg); | |
922 | IN_FLOAT (d = ceil (d), "fceiling", arg); | |
923 | return make_float (d); | |
924 | } | |
925 | ||
926 | DEFUN ("ffloor", Fffloor, Sffloor, 1, 1, 0, | |
335c5470 PJ |
927 | doc: /* Return the largest integer no greater than ARG, as a float. |
928 | \(Round towards -inf.\) */) | |
5842a27b | 929 | (register Lisp_Object arg) |
4b6baf5f RS |
930 | { |
931 | double d = extract_float (arg); | |
932 | IN_FLOAT (d = floor (d), "ffloor", arg); | |
933 | return make_float (d); | |
934 | } | |
b70021f4 | 935 | |
4b6baf5f | 936 | DEFUN ("fround", Ffround, Sfround, 1, 1, 0, |
335c5470 | 937 | doc: /* Return the nearest integer to ARG, as a float. */) |
5842a27b | 938 | (register Lisp_Object arg) |
4b6baf5f RS |
939 | { |
940 | double d = extract_float (arg); | |
dca6c914 | 941 | IN_FLOAT (d = emacs_rint (d), "fround", arg); |
4b6baf5f RS |
942 | return make_float (d); |
943 | } | |
944 | ||
945 | DEFUN ("ftruncate", Fftruncate, Sftruncate, 1, 1, 0, | |
335c5470 PJ |
946 | doc: /* Truncate a floating point number to an integral float value. |
947 | Rounds the value toward zero. */) | |
5842a27b | 948 | (register Lisp_Object arg) |
4b6baf5f RS |
949 | { |
950 | double d = extract_float (arg); | |
951 | if (d >= 0.0) | |
952 | IN_FLOAT (d = floor (d), "ftruncate", arg); | |
953 | else | |
a3fc5236 | 954 | IN_FLOAT (d = ceil (d), "ftruncate", arg); |
4b6baf5f | 955 | return make_float (d); |
b70021f4 MR |
956 | } |
957 | \f | |
4b6baf5f | 958 | #ifdef FLOAT_CATCH_SIGILL |
4746118a | 959 | static SIGTYPE |
b70021f4 MR |
960 | float_error (signo) |
961 | int signo; | |
962 | { | |
963 | if (! in_float) | |
964 | fatal_error_signal (signo); | |
965 | ||
6df54671 | 966 | #ifdef BSD_SYSTEM |
e065a56e | 967 | sigsetmask (SIGEMPTYMASK); |
265a9e55 JB |
968 | #else |
969 | /* Must reestablish handler each time it is called. */ | |
970 | signal (SIGILL, float_error); | |
6df54671 | 971 | #endif /* BSD_SYSTEM */ |
b70021f4 | 972 | |
333f1b6f | 973 | SIGNAL_THREAD_CHECK (signo); |
b70021f4 MR |
974 | in_float = 0; |
975 | ||
edef1631 | 976 | xsignal1 (Qarith_error, float_error_arg); |
b70021f4 MR |
977 | } |
978 | ||
4b6baf5f RS |
979 | /* Another idea was to replace the library function `infnan' |
980 | where SIGILL is signaled. */ | |
981 | ||
982 | #endif /* FLOAT_CATCH_SIGILL */ | |
983 | ||
984 | #ifdef HAVE_MATHERR | |
177c0ea7 | 985 | int |
d5a3eaaf | 986 | matherr (struct exception *x) |
4b6baf5f RS |
987 | { |
988 | Lisp_Object args; | |
42ca4633 J |
989 | const char *name = x->name; |
990 | ||
4b6baf5f RS |
991 | if (! in_float) |
992 | /* Not called from emacs-lisp float routines; do the default thing. */ | |
993 | return 0; | |
994 | if (!strcmp (x->name, "pow")) | |
42ca4633 | 995 | name = "expt"; |
4b6baf5f RS |
996 | |
997 | args | |
42ca4633 | 998 | = Fcons (build_string (name), |
4b6baf5f | 999 | Fcons (make_float (x->arg1), |
42ca4633 | 1000 | ((!strcmp (name, "log") || !strcmp (name, "pow")) |
4b6baf5f RS |
1001 | ? Fcons (make_float (x->arg2), Qnil) |
1002 | : Qnil))); | |
1003 | switch (x->type) | |
1004 | { | |
edef1631 KS |
1005 | case DOMAIN: xsignal (Qdomain_error, args); break; |
1006 | case SING: xsignal (Qsingularity_error, args); break; | |
1007 | case OVERFLOW: xsignal (Qoverflow_error, args); break; | |
1008 | case UNDERFLOW: xsignal (Qunderflow_error, args); break; | |
1009 | default: xsignal (Qarith_error, args); break; | |
4b6baf5f RS |
1010 | } |
1011 | return (1); /* don't set errno or print a message */ | |
1012 | } | |
1013 | #endif /* HAVE_MATHERR */ | |
1014 | ||
dfcf069d | 1015 | void |
d5a3eaaf | 1016 | init_floatfns (void) |
b70021f4 | 1017 | { |
4b6baf5f | 1018 | #ifdef FLOAT_CATCH_SIGILL |
b70021f4 | 1019 | signal (SIGILL, float_error); |
177c0ea7 | 1020 | #endif |
b70021f4 MR |
1021 | in_float = 0; |
1022 | } | |
1023 | ||
dfcf069d | 1024 | void |
d5a3eaaf | 1025 | syms_of_floatfns (void) |
b70021f4 MR |
1026 | { |
1027 | defsubr (&Sacos); | |
b70021f4 | 1028 | defsubr (&Sasin); |
b70021f4 | 1029 | defsubr (&Satan); |
c2d4ea74 RS |
1030 | defsubr (&Scos); |
1031 | defsubr (&Ssin); | |
1032 | defsubr (&Stan); | |
15e12598 VB |
1033 | #if defined HAVE_ISNAN && defined HAVE_COPYSIGN |
1034 | defsubr (&Sisnan); | |
1035 | defsubr (&Scopysign); | |
1036 | defsubr (&Sfrexp); | |
1037 | defsubr (&Sldexp); | |
1038 | #endif | |
c2d4ea74 RS |
1039 | #if 0 |
1040 | defsubr (&Sacosh); | |
1041 | defsubr (&Sasinh); | |
b70021f4 | 1042 | defsubr (&Satanh); |
c2d4ea74 RS |
1043 | defsubr (&Scosh); |
1044 | defsubr (&Ssinh); | |
1045 | defsubr (&Stanh); | |
b70021f4 MR |
1046 | defsubr (&Sbessel_y0); |
1047 | defsubr (&Sbessel_y1); | |
1048 | defsubr (&Sbessel_yn); | |
1049 | defsubr (&Sbessel_j0); | |
1050 | defsubr (&Sbessel_j1); | |
1051 | defsubr (&Sbessel_jn); | |
b70021f4 MR |
1052 | defsubr (&Serf); |
1053 | defsubr (&Serfc); | |
c2d4ea74 | 1054 | defsubr (&Slog_gamma); |
4b6baf5f | 1055 | defsubr (&Scube_root); |
892ed7e0 | 1056 | #endif |
4b6baf5f RS |
1057 | defsubr (&Sfceiling); |
1058 | defsubr (&Sffloor); | |
1059 | defsubr (&Sfround); | |
1060 | defsubr (&Sftruncate); | |
b70021f4 | 1061 | defsubr (&Sexp); |
c2d4ea74 | 1062 | defsubr (&Sexpt); |
b70021f4 MR |
1063 | defsubr (&Slog); |
1064 | defsubr (&Slog10); | |
b70021f4 | 1065 | defsubr (&Ssqrt); |
b70021f4 MR |
1066 | |
1067 | defsubr (&Sabs); | |
1068 | defsubr (&Sfloat); | |
1069 | defsubr (&Slogb); | |
1070 | defsubr (&Sceiling); | |
acbbacbe | 1071 | defsubr (&Sfloor); |
b70021f4 MR |
1072 | defsubr (&Sround); |
1073 | defsubr (&Struncate); | |
1074 | } | |
ab5796a9 | 1075 |