5 /* Copyright (C) 1995, 1996, 1998 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, Inc., 59 Temple Place, Suite 330,
20 * Boston, MA 02111-1307 USA
22 * As a special exception, the Free Software Foundation gives permission
23 * for additional uses of the text contained in its release of GUILE.
25 * The exception is that, if you link the GUILE library with other files
26 * to produce an executable, this does not by itself cause the
27 * resulting executable to be covered by the GNU General Public License.
28 * Your use of that executable is in no way restricted on account of
29 * linking the GUILE library code into it.
31 * This exception does not however invalidate any other reasons why
32 * the executable file might be covered by the GNU General Public License.
34 * This exception applies only to the code released by the
35 * Free Software Foundation under the name GUILE. If you copy
36 * code from other Free Software Foundation releases into a copy of
37 * GUILE, as the General Public License permits, the exception does
38 * not apply to the code that you add in this way. To avoid misleading
39 * anyone as to the status of such modified files, you must delete
40 * this exception notice from them.
42 * If you write modifications of your own for GUILE, it is your choice
43 * whether to permit this exception to apply to your modifications.
44 * If you do not wish that, delete this exception notice. */
47 #include "libguile/__scm.h"
49 #include "libguile/print.h"
56 * Inums are exact integer data that fits within an SCM word.
58 * SCM_INUMP applies only to values known to be Scheme objects.
59 * In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
60 * to be a SCM_CONSP. If x is only known to be a SCM_NIMP,
61 * SCM_INUMP (SCM_CAR (x)) can give wrong answers.
64 #define SCM_INUMP(x) (2 & (int)(x))
65 #define SCM_NINUMP(x) (!SCM_INUMP(x))
68 /* shifts of more than one are done by a library call, single shifts are
69 * performed in registers
71 # define SCM_MAKINUM(x) ((((x)<<1)<<1)+2L)
73 # define SCM_MAKINUM(x) (((x)<<2)+2L)
74 #endif /* def __TURBOC__ */
77 /* SCM_SRS is signed right shift */
78 /* Turbo C++ v1.0 has a bug with right shifts of signed longs!
79 * It is believed to be fixed in Turbo C++ v1.01
81 #if (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295)
82 # define SCM_SRS(x, y) ((x)>>y)
84 # define SCM_INUM(x) (((x)>>1)>>1)
86 # define SCM_INUM(x) SCM_SRS(x, 2)
87 # endif /* def __TURBOC__ */
89 # define SCM_SRS(x, y) (((x)<0) ? ~((~(x))>>y) : (x)>>y)
90 # define SCM_INUM(x) SCM_SRS(x, 2)
91 #endif /* (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295) */
96 #define SCM_INUM0 ((SCM) 2)
100 /* SCM_FIXABLE is non-0 if its long argument can be encoded in an SCM_INUM.
102 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
103 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
104 #define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
105 #define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))
107 /* SCM_INTBUFLEN is the maximum number of characters neccessary for the
108 * printed or scm_string representation of an exact immediate.
112 # define SCM_CHAR_BIT 8
113 #endif /* ndef SCM_CHAR_BIT */
115 # define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
116 #endif /* ndef SCM_LONG_BIT */
117 #define SCM_INTBUFLEN (5+SCM_LONG_BIT)
119 /* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
120 * printed or scm_string representation of an inexact number.
123 #define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)
131 #define SCM_INEXP(x) (SCM_TYP16(x)==scm_tc16_flo)
132 #define SCM_CPLXP(x) (SCM_CAR(x)==scm_tc_dblc)
133 #define SCM_REAL(x) (*(((scm_dbl *) (SCM2PTR(x)))->real))
134 #define SCM_IMAG(x) (*((double *)(SCM_CHARS(x)+sizeof(double))))
135 /* ((&SCM_REAL(x))[1]) */
139 #define SCM_REALP(x) ((~SCM_REAL_PART & SCM_CAR(x))==scm_tc_flo)
140 #define SCM_SINGP(x) (SCM_CAR(x)==scm_tc_flo)
141 #define SCM_FLO(x) (((scm_flo *)(SCM2PTR(x)))->num)
142 #define SCM_REALPART(x) (SCM_SINGP(x)?0.0+SCM_FLO(x):SCM_REAL(x))
143 #else /* SCM_SINGLES */
144 #define SCM_REALP(x) (SCM_CAR(x)==scm_tc_dblr)
145 #define SCM_REALPART SCM_REAL
146 #endif /* SCM_SINGLES */
149 /* Define SCM_BIGDIG to an integer type whose size is smaller than long if
150 * you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
152 * Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
156 # define SCM_DIGSTOOBIG
157 # if (1L << 31) <= SCM_USHRT_MAX
158 # define SCM_BIGDIG unsigned short
160 # define SCM_BIGDIG unsigned int
161 # endif /* (1L << 31) <= USHRT_MAX */
162 # define SCM_BITSPERDIG 32
164 # define SCM_BIGDIG unsigned short
165 # define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
166 # endif /* def _UNICOS */
168 # define SCM_BIGRAD (1L << SCM_BITSPERDIG)
169 # define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
170 # define SCM_DIGSPERLONGLONG ((scm_sizet)((sizeof(long long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
171 # define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
172 # define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
173 # define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
174 # define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
176 #endif /* def BIGNUMS */
179 /* Definition is not really used but helps various function
180 * prototypes to compile with conditionalization.
182 # define SCM_BIGDIG unsigned short
183 # define SCM_NO_BIGDIG
185 # define SCM_INUMS_ONLY
186 # endif /* ndef SCM_FLOATS */
187 #endif /* ndef SCM_BIGDIG */
190 #define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
192 #define SCM_NUM2DBL(x) (SCM_INUMP (x) \
193 ? (double) SCM_INUM (x) \
198 #define SCM_NUM2DBL(x) (SCM_INUMP (x) \
199 ? (double) SCM_INUM (x) \
204 #define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
205 #define SCM_NUM2DBL(x) (SCM_INUMP (x) \
206 ? (double) SCM_INUM (x) \
209 #define SCM_NUMBERP SCM_INUMP
210 #define SCM_NUM2DBL(x) ((double) SCM_INUM (x))
213 #define SCM_NUMP(x) ((0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
214 #define SCM_BIGP(x) (SCM_TYP16S(x)==scm_tc16_bigpos)
215 #define SCM_BIGSIGN(x) (0x0100 & (int)SCM_CAR(x))
216 #define SCM_BDIGITS(x) ((SCM_BIGDIG *)(SCM_CDR(x)))
217 #define SCM_NUMDIGS(x) ((scm_sizet)(SCM_CAR(x)>>16))
218 #define SCM_SETNUMDIGS(x, v, t) SCM_SETCAR(x, (((v)+0L)<<16)+(t))
222 typedef struct scm_dblproc
229 typedef struct scm_flo
236 typedef struct scm_dbl
247 extern SCM scm_exact_p
SCM_P ((SCM x
));
248 extern SCM scm_odd_p
SCM_P ((SCM n
));
249 extern SCM scm_even_p
SCM_P ((SCM n
));
250 extern SCM scm_abs
SCM_P ((SCM x
));
251 extern SCM scm_quotient
SCM_P ((SCM x
, SCM y
));
252 extern SCM scm_remainder
SCM_P ((SCM x
, SCM y
));
253 extern SCM scm_modulo
SCM_P ((SCM x
, SCM y
));
254 extern SCM scm_gcd
SCM_P ((SCM x
, SCM y
));
255 extern SCM scm_lcm
SCM_P ((SCM n1
, SCM n2
));
256 extern SCM scm_logand
SCM_P ((SCM n1
, SCM n2
));
257 extern SCM scm_logior
SCM_P ((SCM n1
, SCM n2
));
258 extern SCM scm_logxor
SCM_P ((SCM n1
, SCM n2
));
259 extern SCM scm_logtest
SCM_P ((SCM n1
, SCM n2
));
260 extern SCM scm_logbit_p
SCM_P ((SCM n1
, SCM n2
));
261 extern SCM scm_lognot
SCM_P ((SCM n
));
262 extern SCM scm_integer_expt
SCM_P ((SCM z1
, SCM z2
));
263 extern SCM scm_ash
SCM_P ((SCM n
, SCM cnt
));
264 extern SCM scm_bit_extract
SCM_P ((SCM n
, SCM start
, SCM end
));
265 extern SCM scm_logcount
SCM_P ((SCM n
));
266 extern SCM scm_integer_length
SCM_P ((SCM n
));
267 extern SCM scm_mkbig
SCM_P ((scm_sizet nlen
, int sign
));
268 extern SCM scm_big2inum
SCM_P ((SCM b
, scm_sizet l
));
269 extern SCM scm_adjbig
SCM_P ((SCM b
, scm_sizet nlen
));
270 extern SCM scm_normbig
SCM_P ((SCM b
));
271 extern SCM scm_copybig
SCM_P ((SCM b
, int sign
));
272 extern SCM scm_long2big
SCM_P ((long n
));
273 extern SCM scm_long_long2big
SCM_P ((long_long n
));
274 extern SCM scm_2ulong2big
SCM_P ((unsigned long * np
));
275 extern SCM scm_ulong2big
SCM_P ((unsigned long n
));
276 extern int scm_bigcomp
SCM_P ((SCM x
, SCM y
));
277 extern long scm_pseudolong
SCM_P ((long x
));
278 extern void scm_longdigs
SCM_P ((long x
, SCM_BIGDIG digs
[]));
279 extern SCM scm_addbig
SCM_P ((SCM_BIGDIG
*x
, scm_sizet nx
, int xsgn
, SCM bigy
, int sgny
));
280 extern SCM scm_mulbig
SCM_P ((SCM_BIGDIG
*x
, scm_sizet nx
, SCM_BIGDIG
*y
, scm_sizet ny
, int sgn
));
281 extern unsigned int scm_divbigdig
SCM_P ((SCM_BIGDIG
*ds
, scm_sizet h
, SCM_BIGDIG div
));
282 extern SCM scm_divbigint
SCM_P ((SCM x
, long z
, int sgn
, int mode
));
283 extern SCM scm_divbigbig
SCM_P ((SCM_BIGDIG
*x
, scm_sizet nx
, SCM_BIGDIG
*y
, scm_sizet ny
, int sgn
, int modes
));
284 extern scm_sizet scm_iint2str
SCM_P ((long num
, int rad
, char *p
));
285 extern SCM scm_number_to_string
SCM_P ((SCM x
, SCM radix
));
286 extern int scm_floprint
SCM_P ((SCM sexp
, SCM port
, scm_print_state
*pstate
));
287 extern int scm_bigprint
SCM_P ((SCM exp
, SCM port
, scm_print_state
*pstate
));
288 extern SCM scm_istr2int
SCM_P ((char *str
, long len
, long radix
));
289 extern SCM scm_istr2flo
SCM_P ((char *str
, long len
, long radix
));
290 extern SCM scm_istring2number
SCM_P ((char *str
, long len
, long radix
));
291 extern SCM scm_string_to_number
SCM_P ((SCM str
, SCM radix
));
292 extern SCM scm_makdbl
SCM_P ((double x
, double y
));
293 extern SCM scm_bigequal
SCM_P ((SCM x
, SCM y
));
294 extern SCM scm_floequal
SCM_P ((SCM x
, SCM y
));
295 extern SCM scm_number_p
SCM_P ((SCM x
));
296 extern SCM scm_real_p
SCM_P ((SCM x
));
297 extern SCM scm_integer_p
SCM_P ((SCM x
));
298 extern SCM scm_inexact_p
SCM_P ((SCM x
));
299 extern SCM scm_num_eq_p
SCM_P ((SCM x
, SCM y
));
300 extern SCM scm_less_p
SCM_P ((SCM x
, SCM y
));
301 extern SCM scm_gr_p
SCM_P ((SCM x
, SCM y
));
302 extern SCM scm_leq_p
SCM_P ((SCM x
, SCM y
));
303 extern SCM scm_geq_p
SCM_P ((SCM x
, SCM y
));
304 extern SCM scm_zero_p
SCM_P ((SCM z
));
305 extern SCM scm_positive_p
SCM_P ((SCM x
));
306 extern SCM scm_negative_p
SCM_P ((SCM x
));
307 extern SCM scm_max
SCM_P ((SCM x
, SCM y
));
308 extern SCM scm_min
SCM_P ((SCM x
, SCM y
));
309 extern SCM scm_sum
SCM_P ((SCM x
, SCM y
));
310 extern SCM scm_difference
SCM_P ((SCM x
, SCM y
));
311 extern SCM scm_product
SCM_P ((SCM x
, SCM y
));
312 extern double scm_num2dbl
SCM_P ((SCM a
, const char * why
));
313 extern SCM scm_divide
SCM_P ((SCM x
, SCM y
));
314 extern double scm_asinh
SCM_P ((double x
));
315 extern double scm_acosh
SCM_P ((double x
));
316 extern double scm_atanh
SCM_P ((double x
));
317 extern double scm_truncate
SCM_P ((double x
));
318 extern double scm_round
SCM_P ((double x
));
319 extern double scm_exact_to_inexact
SCM_P ((double z
));
320 extern SCM scm_sys_expt
SCM_P ((SCM z1
, SCM z2
));
321 extern SCM scm_sys_atan2
SCM_P ((SCM z1
, SCM z2
));
322 extern SCM scm_make_rectangular
SCM_P ((SCM z1
, SCM z2
));
323 extern SCM scm_make_polar
SCM_P ((SCM z1
, SCM z2
));
324 extern SCM scm_real_part
SCM_P ((SCM z
));
325 extern SCM scm_imag_part
SCM_P ((SCM z
));
326 extern SCM scm_magnitude
SCM_P ((SCM z
));
327 extern SCM scm_angle
SCM_P ((SCM z
));
328 extern SCM scm_inexact_to_exact
SCM_P ((SCM z
));
329 extern SCM scm_trunc
SCM_P ((SCM x
));
330 extern SCM scm_dbl2big
SCM_P ((double d
));
331 extern double scm_big2dbl
SCM_P ((SCM b
));
332 extern SCM scm_long2num
SCM_P ((long sl
));
333 extern SCM scm_long_long2num
SCM_P ((long_long sl
));
334 extern SCM scm_ulong2num
SCM_P ((unsigned long sl
));
335 extern long scm_num2long
SCM_P ((SCM num
, char *pos
, const char *s_caller
));
336 extern long_long scm_num2long_long
SCM_P ((SCM num
, char *pos
,
337 const char *s_caller
));
338 extern unsigned long scm_num2ulong
SCM_P ((SCM num
, char *pos
,
339 const char *s_caller
));
340 extern void scm_init_numbers
SCM_P ((void));
342 #endif /* NUMBERSH */