5 /* Copyright (C) 1995,1996 Free Software Foundation, Inc.
7 * This program is free software; you can redistribute it and/or modify
8 * it under the terms of the GNU General Public License as published by
9 * the Free Software Foundation; either version 2, or (at your option)
12 * This program 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.
17 * You should have received a copy of the GNU General Public License
18 * along with this software; see the file COPYING. If not, write to
19 * the Free Software Foundation, 675 Mass Ave, Cambridge, MA 02139, USA.
21 * As a special exception, the Free Software Foundation gives permission
22 * for additional uses of the text contained in its release of GUILE.
24 * The exception is that, if you link the GUILE library with other files
25 * to produce an executable, this does not by itself cause the
26 * resulting executable to be covered by the GNU General Public License.
27 * Your use of that executable is in no way restricted on account of
28 * linking the GUILE library code into it.
30 * This exception does not however invalidate any other reasons why
31 * the executable file might be covered by the GNU General Public License.
33 * This exception applies only to the code released by the
34 * Free Software Foundation under the name GUILE. If you copy
35 * code from other Free Software Foundation releases into a copy of
36 * GUILE, as the General Public License permits, the exception does
37 * not apply to the code that you add in this way. To avoid misleading
38 * anyone as to the status of such modified files, you must delete
39 * this exception notice from them.
41 * If you write modifications of your own for GUILE, it is your choice
42 * whether to permit this exception to apply to your modifications.
43 * If you do not wish that, delete this exception notice.
47 #include "libguile/__scm.h"
54 * Inums are exact integer data that fits within an SCM word.
56 * SCM_INUMP applies only to values known to be Scheme objects.
57 * In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
58 * to be a SCM_CONSP. If x is only known to be a SCM_NIMP,
59 * SCM_INUMP (SCM_CAR (x)) can give wrong answers.
62 #define SCM_INUMP(x) (2 & (int)(x))
63 #define SCM_NINUMP(x) (!SCM_INUMP(x))
66 /* shifts of more than one are done by a library call, single shifts are
67 * performed in registers
69 # define SCM_MAKINUM(x) ((((x)<<1)<<1)+2L)
71 # define SCM_MAKINUM(x) (((x)<<2)+2L)
72 #endif /* def __TURBOC__ */
75 /* SCM_SRS is signed right shift */
76 /* Turbo C++ v1.0 has a bug with right shifts of signed longs!
77 * It is believed to be fixed in Turbo C++ v1.01
79 #if (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295)
80 # define SCM_SRS(x, y) ((x)>>y)
82 # define SCM_INUM(x) (((x)>>1)>>1)
84 # define SCM_INUM(x) SCM_SRS(x, 2)
85 # endif /* def __TURBOC__ */
87 # define SCM_SRS(x, y) (((x)<0) ? ~((~(x))>>y) : (x)>>y)
88 # define SCM_INUM(x) SCM_SRS(x, 2)
89 #endif /* (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295) */
94 #define SCM_INUM0 ((SCM) 2)
98 /* SCM_FIXABLE is non-0 if its long argument can be encoded in an SCM_INUM.
100 #define SCM_POSSCM_FIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
101 #define SCM_NEGSCM_FIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
102 #define SCM_UNEGSCM_FIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
103 #define SCM_FIXABLE(n) (SCM_POSSCM_FIXABLE(n) && SCM_NEGSCM_FIXABLE(n))
105 /* SCM_INTBUFLEN is the maximum number of characters neccessary for the
106 * printed or scm_string representation of an exact immediate.
110 # define SCM_CHAR_BIT 8
111 #endif /* ndef SCM_CHAR_BIT */
113 # define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
114 #endif /* ndef SCM_LONG_BIT */
115 #define SCM_INTBUFLEN (5+SCM_LONG_BIT)
117 /* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
118 * printed or scm_string representation of an inexact number.
121 #define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)
129 #define SCM_INEXP(x) (SCM_TYP16(x)==scm_tc16_flo)
130 #define SCM_CPLXP(x) (SCM_CAR(x)==scm_tc_dblc)
131 #define SCM_REAL(x) (*(((scm_dbl *) (SCM2PTR(x)))->real))
132 #define SCM_IMAG(x) (*((double *)(SCM_CHARS(x)+sizeof(double))))
133 /* ((&SCM_REAL(x))[1]) */
137 #define SCM_REALP(x) ((~SCM_REAL_PART & SCM_CAR(x))==scm_tc_flo)
138 #define SCM_SINGP(x) (SCM_CAR(x)==scm_tc_flo)
139 #define SCM_FLO(x) (((scm_flo *)(SCM2PTR(x)))->num)
140 #define SCM_REALPART(x) (SCM_SINGP(x)?0.0+SCM_FLO(x):SCM_REAL(x))
141 #else /* SCM_SINGLES */
142 #define SCM_REALP(x) (SCM_CAR(x)==scm_tc_dblr)
143 #define SCM_REALPART SCM_REAL
144 #endif /* SCM_SINGLES */
147 /* Define SCM_BIGDIG to an integer type whose size is smaller than long if
148 * you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
150 * Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
154 # define SCM_DIGSTOOBIG
155 # if (1L << 31) <= SCM_USHRT_MAX
156 # define SCM_BIGDIG unsigned short
158 # define SCM_BIGDIG unsigned int
159 # endif /* (1L << 31) <= USHRT_MAX */
160 # define SCM_BITSPERDIG 32
162 # define SCM_BIGDIG unsigned short
163 # define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
164 # endif /* def _UNICOS */
166 # define SCM_BIGRAD (1L << SCM_BITSPERDIG)
167 # define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
168 # define SCM_DIGSPERLONGLONG ((scm_sizet)((sizeof(long long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
169 # define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
170 # define SCM_LONGLONGSCM_BIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
171 # define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
172 # define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
173 #endif /* def BIGNUMS */
176 /* Definition is not really used but helps various function
177 * prototypes to compile with conditionalization.
179 # define SCM_BIGDIG unsigned short
180 # define NO_SCM_BIGDIG
182 # define SCM_INUMS_ONLY
183 # endif /* ndef SCM_FLOATS */
184 #endif /* ndef SCM_BIGDIG */
187 #define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
190 #define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
192 #define SCM_NUMBERP SCM_INUMP
195 #define SCM_NUMP(x) ((0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
196 #define SCM_BIGP(x) (SCM_TYP16S(x)==scm_tc16_bigpos)
197 #define SCM_BIGSIGN(x) (0x0100 & (int)SCM_CAR(x))
198 #define SCM_BDIGITS(x) ((SCM_BIGDIG *)(SCM_CDR(x)))
199 #define SCM_NUMDIGS(x) ((scm_sizet)(SCM_CAR(x)>>16))
200 #define SCM_SETNUMDIGS(x, v, t) SCM_CAR(x) = (((v)+0L)<<16)+(t)
204 typedef struct scm_dblproc
211 typedef struct scm_flo
218 typedef struct scm_dbl
229 extern SCM
scm_exact_p(SCM x
);
230 extern SCM
scm_odd_p(SCM n
);
231 extern SCM
scm_even_p(SCM n
);
232 extern SCM
scm_abs(SCM x
);
233 extern SCM
scm_quotient(SCM x
, SCM y
);
234 extern SCM
scm_remainder(SCM x
, SCM y
);
235 extern SCM
scm_modulo(SCM x
, SCM y
);
236 extern SCM
scm_gcd(SCM x
, SCM y
);
237 extern SCM
scm_lcm(SCM n1
, SCM n2
);
238 extern SCM
scm_logand(SCM n1
, SCM n2
);
239 extern SCM
scm_logior(SCM n1
, SCM n2
);
240 extern SCM
scm_logxor(SCM n1
, SCM n2
);
241 extern SCM
scm_logtest(SCM n1
, SCM n2
);
242 extern SCM
scm_logbit_p(SCM n1
, SCM n2
);
243 extern SCM
scm_logand(SCM n1
, SCM n2
);
244 extern SCM
scm_logior(SCM n1
, SCM n2
);
245 extern SCM
scm_logxor(SCM n1
, SCM n2
);
246 extern SCM
scm_logtest(SCM n1
, SCM n2
);
247 extern SCM
scm_logbit_p(SCM n1
, SCM n2
);
248 extern SCM
scm_lognot(SCM n
);
249 extern SCM
scm_integer_expt(SCM z1
, SCM z2
);
250 extern SCM
scm_ash(SCM n
, SCM cnt
);
251 extern SCM
scm_bit_extract(SCM n
, SCM start
, SCM end
);
252 extern SCM
scm_logcount (SCM n
);
253 extern SCM
scm_integer_length(SCM n
);
254 extern SCM
scm_mkbig(scm_sizet nlen
, int sign
);
255 extern SCM
scm_big2inum(SCM b
, scm_sizet l
);
256 extern SCM
scm_adjbig(SCM b
, scm_sizet nlen
);
257 extern SCM
scm_normbig(SCM b
);
258 extern SCM
scm_copybig(SCM b
, int sign
);
259 extern SCM
scm_long2big(long n
);
260 extern SCM
scm_long_long2big(long_long n
);
261 extern SCM
scm_2ulong2big(unsigned long * np
);
262 extern SCM
scm_ulong2big(unsigned long n
);
263 extern int scm_bigcomp(SCM x
, SCM y
);
264 extern long scm_pseudolong(long x
);
265 extern void scm_longdigs(long x
, SCM_BIGDIG digs
[]);
266 extern SCM
scm_addbig(SCM_BIGDIG
*x
, scm_sizet nx
, int xsgn
, SCM bigy
, int sgny
);
267 extern SCM
scm_mulbig(SCM_BIGDIG
*x
, scm_sizet nx
, SCM_BIGDIG
*y
, scm_sizet ny
, int sgn
);
268 extern unsigned int scm_divbigdig(SCM_BIGDIG
*ds
, scm_sizet h
, SCM_BIGDIG div
);
269 extern SCM
scm_divbigint(SCM x
, long z
, int sgn
, int mode
);
270 extern SCM
scm_divbigbig(SCM_BIGDIG
*x
, scm_sizet nx
, SCM_BIGDIG
*y
, scm_sizet ny
, int sgn
, int modes
);
271 extern scm_sizet
scm_iint2str(long num
, int rad
, char *p
);
272 extern SCM
scm_number_to_string(SCM x
, SCM radix
);
273 extern int scm_floprint(SCM sexp
, SCM port
, int writing
);
274 extern int scm_bigprint(SCM exp
, SCM port
, int writing
);
275 extern SCM
scm_istr2int(char *str
, long len
, long radix
);
276 extern SCM
scm_istr2int(char *str
, long len
, long radix
);
277 extern SCM
scm_istr2flo(char *str
, long len
, long radix
);
278 extern SCM
scm_istring2number(char *str
, long len
, long radix
);
279 extern SCM
scm_string_to_number(SCM str
, SCM radix
);
280 extern SCM
scm_makdbl (double x
, double y
);
281 extern SCM
scm_bigequal(SCM x
, SCM y
);
282 extern SCM
scm_floequal(SCM x
, SCM y
);
283 extern SCM
scm_number_p(SCM x
);
284 extern SCM
scm_real_p(SCM x
);
285 extern SCM
scm_int_p(SCM x
);
286 extern SCM
scm_inexact_p(SCM x
);
287 extern SCM
scm_num_eq_p (SCM x
, SCM y
);
288 extern SCM
scm_less_p(SCM x
, SCM y
);
289 extern SCM
scm_gr_p(SCM x
, SCM y
);
290 extern SCM
scm_leq_p(SCM x
, SCM y
);
291 extern SCM
scm_geq_p(SCM x
, SCM y
);
292 extern SCM
scm_zero_p(SCM z
);
293 extern SCM
scm_positive_p(SCM x
);
294 extern SCM
scm_negative_p(SCM x
);
295 extern SCM
scm_max(SCM x
, SCM y
);
296 extern SCM
scm_min(SCM x
, SCM y
);
297 extern SCM
scm_sum(SCM x
, SCM y
);
298 extern SCM
scm_difference(SCM x
, SCM y
);
299 extern SCM
scm_product(SCM x
, SCM y
);
300 extern double scm_num2dbl (SCM a
, char * why
);
301 extern SCM
scm_fuck (SCM a
);
302 extern SCM
scm_divide(SCM x
, SCM y
);
303 extern double scm_asinh(double x
);
304 extern double scm_acosh(double x
);
305 extern double scm_atanh(double x
);
306 extern double scm_truncate(double x
);
307 extern double scm_round(double x
);
308 extern double scm_exact_to_inexact(double z
);
309 extern SCM
scm_sys_expt(SCM z1
, SCM z2
);
310 extern SCM
scm_sys_atan2(SCM z1
, SCM z2
);
311 extern SCM
scm_make_rectangular(SCM z1
, SCM z2
);
312 extern SCM
scm_make_polar(SCM z1
, SCM z2
);
313 extern SCM
scm_real_part(SCM z
);
314 extern SCM
scm_imag_part(SCM z
);
315 extern SCM
scm_magnitude(SCM z
);
316 extern SCM
scm_angle(SCM z
);
317 extern SCM
scm_inexact_to_exact(SCM z
);
318 extern SCM
scm_trunc(SCM x
);
319 extern SCM
scm_dbl2big(double d
);
320 extern double scm_big2dbl(SCM b
);
321 extern SCM
scm_long2num(long sl
);
322 extern SCM
scm_long_long2num(long_long sl
);
323 extern SCM
scm_ulong2num(unsigned long sl
);
324 extern long scm_num2long(SCM num
, char *pos
, char *s_caller
);
325 extern long num2long(SCM num
, char *pos
, char *s_caller
);
326 extern long_long
scm_num2long_long(SCM num
, char *pos
, char *s_caller
);
327 extern unsigned long scm_num2ulong(SCM num
, char *pos
, char *s_caller
);
328 extern void scm_init_numbers (void);
331 extern SCM
scm_exact_p();
332 extern SCM
scm_odd_p();
333 extern SCM
scm_even_p();
334 extern SCM
scm_abs();
335 extern SCM
scm_quotient();
336 extern SCM
scm_remainder();
337 extern SCM
scm_modulo();
338 extern SCM
scm_gcd();
339 extern SCM
scm_lcm();
340 extern SCM
scm_logand();
341 extern SCM
scm_logior();
342 extern SCM
scm_logxor();
343 extern SCM
scm_logtest();
344 extern SCM
scm_logbit_p();
345 extern SCM
scm_logand();
346 extern SCM
scm_logior();
347 extern SCM
scm_logxor();
348 extern SCM
scm_logtest();
349 extern SCM
scm_logbit_p();
350 extern SCM
scm_lognot();
351 extern SCM
scm_integer_expt();
352 extern SCM
scm_ash();
353 extern SCM
scm_bit_extract();
354 extern SCM
scm_logcount ();
355 extern SCM
scm_integer_length();
356 extern SCM
scm_mkbig();
357 extern SCM
scm_big2inum();
358 extern SCM
scm_adjbig();
359 extern SCM
scm_normbig();
360 extern SCM
scm_copybig();
361 extern SCM
scm_long2big();
362 extern SCM
scm_long_long2big();
363 extern SCM
scm_2ulong2big();
364 extern SCM
scm_ulong2big();
365 extern int scm_bigcomp();
366 extern long scm_pseudolong();
367 extern void scm_longdigs();
368 extern SCM
scm_addbig();
369 extern SCM
scm_mulbig();
370 extern unsigned int scm_divbigdig();
371 extern SCM
scm_divbigint();
372 extern SCM
scm_divbigbig();
373 extern scm_sizet
scm_iint2str();
374 extern SCM
scm_number_to_string();
375 extern int scm_floprint();
376 extern int scm_bigprint();
377 extern SCM
scm_istr2int();
378 extern SCM
scm_istr2int();
379 extern SCM
scm_istr2flo();
380 extern SCM
scm_istring2number();
381 extern SCM
scm_string_to_number();
382 extern SCM
scm_makdbl ();
383 extern SCM
scm_bigequal();
384 extern SCM
scm_floequal();
385 extern SCM
scm_number_p();
386 extern SCM
scm_real_p();
387 extern SCM
scm_int_p();
388 extern SCM
scm_inexact_p();
389 extern SCM
scm_num_eq_p ();
390 extern SCM
scm_less_p();
391 extern SCM
scm_gr_p();
392 extern SCM
scm_leq_p();
393 extern SCM
scm_geq_p();
394 extern SCM
scm_zero_p();
395 extern SCM
scm_positive_p();
396 extern SCM
scm_negative_p();
397 extern SCM
scm_max();
398 extern SCM
scm_min();
399 extern SCM
scm_sum();
400 extern SCM
scm_difference();
401 extern SCM
scm_product();
402 extern double scm_num2dbl ();
403 extern SCM
scm_fuck ();
404 extern SCM
scm_divide();
405 extern double scm_asinh();
406 extern double scm_acosh();
407 extern double scm_atanh();
408 extern double scm_truncate();
409 extern double scm_round();
410 extern double scm_exact_to_inexact();
411 extern SCM
scm_sys_expt();
412 extern SCM
scm_sys_atan2();
413 extern SCM
scm_make_rectangular();
414 extern SCM
scm_make_polar();
415 extern SCM
scm_real_part();
416 extern SCM
scm_imag_part();
417 extern SCM
scm_magnitude();
418 extern SCM
scm_angle();
419 extern SCM
scm_inexact_to_exact();
420 extern SCM
scm_trunc();
421 extern SCM
scm_dbl2big();
422 extern double scm_big2dbl();
423 extern SCM
scm_long2num();
424 extern SCM
scm_long_long2num();
425 extern SCM
scm_ulong2num();
426 extern long scm_num2long();
427 extern long num2long();
428 extern long_long
scm_num2long_long();
429 extern unsigned long scm_num2ulong();
430 extern void scm_init_numbers ();
436 #endif /* NUMBERSH */