libguile/numbers.h

   1 /* classes: h_files */
   2
   3 #ifndef SCM_NUMBERS_H
   4 #define SCM_NUMBERS_H
   5
   6 /* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004,2005, 2006 Free Software Foundation, Inc.
   7  *
   8  * This library is free software; you can redistribute it and/or
   9  * modify it under the terms of the GNU Lesser General Public
  10  * License as published by the Free Software Foundation; either
  11  * version 2.1 of the License, or (at your option) any later version.
  12  *
  13  * This library is distributed in the hope that it will be useful,
  14  * but WITHOUT ANY WARRANTY; without even the implied warranty of
  15  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  16  * Lesser General Public License for more details.
  17  *
  18  * You should have received a copy of the GNU Lesser General Public
  19  * License along with this library; if not, write to the Free Software
  20  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
  21  */
  22
  23 \f
  24
  25 #include <gmp.h>
  26
  27 #include "libguile/__scm.h"
  28 #include "libguile/print.h"
  29
  30 #if SCM_HAVE_FLOATINGPOINT_H
  31 # include <floatingpoint.h>
  32 #endif
  33
  34 #if SCM_HAVE_IEEEFP_H
  35 # include <ieeefp.h>
  36 #endif
  37
  38 #if SCM_HAVE_NAN_H
  39 # if defined (SCO)
  40 #   define _IEEE 1
  41 # endif
  42 # include <nan.h>
  43 # if defined (SCO)
  44 #   undef _IEEE
  45 # endif
  46 #endif /* SCM_HAVE_NAN_H */
  47
  48 \f
  49
  50 /* Immediate Numbers, also known as fixnums
  51  *
  52  * Inums are exact integer data that fits within an SCM word.  */
  53
  54 /* SCM_T_SIGNED_MAX is                 (- (expt 2 n) 1),
  55  * SCM_MOST_POSITIVE_FIXNUM should be  (- (expt 2 (- n 2)) 1)
  56  * which is the same as                (/ (- (expt 2 n) 4) 4)
  57  */
  58
  59 #define SCM_I_FIXNUM_BIT         (SCM_LONG_BIT - 2)
  60 #define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
  61 #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
  62
  63 /* SCM_SRS is signed right shift */
  64 #if (-1 == (((-1) << 2) + 2) >> 2)
  65 # define SCM_SRS(x, y) ((x) >> (y))
  66 #else
  67 # define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
  68 #endif /* (-1 == (((-1) << 2) + 2) >> 2) */
  69
  70
  71 #define SCM_I_INUMP(x)  (2 & SCM_UNPACK (x))
  72 #define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
  73 #define SCM_I_MAKINUM(x) \
  74   (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
  75 #define SCM_I_INUM(x)   (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
  76
  77 /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
  78 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
  79 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
  80 #define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
  81
  82
  83 /* A name for 0. */
  84 #define SCM_INUM0 (SCM_I_MAKINUM (0))
  85
  86 /* SCM_MAXEXP is the maximum double precision exponent
  87  * SCM_FLTMAX is less than or scm_equal the largest single precision float
  88  */
  89
  90 #if SCM_HAVE_STDC_HEADERS
  91 # ifndef GO32
  92 #  include <float.h>
  93 #  ifdef __MINGW32__
  94 #   define copysign _copysign
  95 #   define finite _finite
  96 #  endif /* __MINGW32__ */
  97 # endif /* ndef GO32 */
  98 #endif /* def STDC_HEADERS */
  99
 100 #ifdef DBL_MAX_10_EXP
 101 # define SCM_MAXEXP DBL_MAX_10_EXP
 102 #else
 103 # define SCM_MAXEXP 308         /* IEEE doubles */
 104 #endif /* def DBL_MAX_10_EXP */
 105
 106 #ifdef FLT_MAX
 107 # define SCM_FLTMAX FLT_MAX
 108 #else
 109 # define SCM_FLTMAX 1e+23
 110 #endif /* def FLT_MAX */
 111
 112
 113 /* SCM_INTBUFLEN is the maximum number of characters neccessary for
 114  * the printed or scm_string representation of an scm_t_intmax in
 115  * radix 2.  The buffer passed to scm_iint2str and scm_iuint2str must
 116  * be of this size, for example.
 117  */
 118 #define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
 119
 120 \f
 121
 122 /* Numbers
 123  */
 124
 125
 126 /* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
 127  * differ in one bit: This way, checking if an object is an inexact number can
 128  * be done quickly (using the TYP16S macro).  */
 129
 130 /* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
 131  * and SCM_NUMP)  */
 132 #define scm_tc16_big            (scm_tc7_number + 1 * 256L)
 133 #define scm_tc16_real           (scm_tc7_number + 2 * 256L)
 134 #define scm_tc16_complex        (scm_tc7_number + 3 * 256L)
 135 #define scm_tc16_fraction       (scm_tc7_number + 4 * 256L)
 136
 137 #define SCM_INEXACTP(x) \
 138   (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
 139 #define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
 140 #define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
 141
 142 #define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
 143 #define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
 144 #define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
 145 #define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
 146
 147 /* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
 148 #define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
 149 #define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
 150
 151 #define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
 152 #define SCM_NUMP(x) (!SCM_IMP(x) \
 153   && (((0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number) \
 154       || ((0xfbff & SCM_CELL_TYPE (x)) == scm_tc7_number)))
 155 /* 0xfcff (#b1100) for 0 free, 1 big, 2 real, 3 complex, then 0xfbff (#b1011) for 4 fraction */
 156
 157 #define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
 158 #define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
 159 #define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
 160 #define SCM_FRACTION_SET_NUMERATOR(x, v) (SCM_SET_CELL_OBJECT_1 ((x), (v)))
 161 #define SCM_FRACTION_SET_DENOMINATOR(x, v) (SCM_SET_CELL_OBJECT_2 ((x), (v)))
 162
 163   /* I think the left half word is free in the type, so I'll use bit 17 */
 164 #define SCM_FRACTION_REDUCED_BIT 0x10000
 165 #define SCM_FRACTION_REDUCED_SET(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) | SCM_FRACTION_REDUCED_BIT)))
 166 #define SCM_FRACTION_REDUCED_CLEAR(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) & ~SCM_FRACTION_REDUCED_BIT)))
 167 #define SCM_FRACTION_REDUCED(x)     (0x10000 & SCM_CELL_TYPE (x))
 168
 169 \f
 170
 171 typedef struct scm_t_double
 172 {
 173   SCM type;
 174   SCM pad;
 175   double real;
 176 } scm_t_double;
 177
 178 typedef struct scm_t_complex
 179 {
 180   double real;
 181   double imag;
 182 } scm_t_complex;
 183
 184 \f
 185
 186 SCM_API SCM scm_exact_p (SCM x);
 187 SCM_API SCM scm_odd_p (SCM n);
 188 SCM_API SCM scm_even_p (SCM n);
 189 SCM_API SCM scm_inf_p (SCM n);
 190 SCM_API SCM scm_nan_p (SCM n);
 191 SCM_API SCM scm_inf (void);
 192 SCM_API SCM scm_nan (void);
 193 SCM_API SCM scm_abs (SCM x);
 194 SCM_API SCM scm_quotient (SCM x, SCM y);
 195 SCM_API SCM scm_remainder (SCM x, SCM y);
 196 SCM_API SCM scm_modulo (SCM x, SCM y);
 197 SCM_API SCM scm_gcd (SCM x, SCM y);
 198 SCM_API SCM scm_lcm (SCM n1, SCM n2);
 199 SCM_API SCM scm_logand (SCM n1, SCM n2);
 200 SCM_API SCM scm_logior (SCM n1, SCM n2);
 201 SCM_API SCM scm_logxor (SCM n1, SCM n2);
 202 SCM_API SCM scm_logtest (SCM n1, SCM n2);
 203 SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
 204 SCM_API SCM scm_lognot (SCM n);
 205 SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
 206 SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
 207 SCM_API SCM scm_ash (SCM n, SCM cnt);
 208 SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
 209 SCM_API SCM scm_logcount (SCM n);
 210 SCM_API SCM scm_integer_length (SCM n);
 211
 212 SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
 213 SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
 214 SCM_API SCM scm_number_to_string (SCM x, SCM radix);
 215 SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
 216 SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
 217 SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
 218 SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
 219                                             unsigned int radix);
 220 SCM_API SCM scm_string_to_number (SCM str, SCM radix);
 221 SCM_API SCM scm_bigequal (SCM x, SCM y);
 222 SCM_API SCM scm_real_equalp (SCM x, SCM y);
 223 SCM_API SCM scm_complex_equalp (SCM x, SCM y);
 224 SCM_API SCM scm_number_p (SCM x);
 225 SCM_API SCM scm_complex_p (SCM x);
 226 SCM_API SCM scm_real_p (SCM x);
 227 SCM_API SCM scm_rational_p (SCM z);
 228 SCM_API SCM scm_integer_p (SCM x);
 229 SCM_API SCM scm_inexact_p (SCM x);
 230 SCM_API SCM scm_num_eq_p (SCM x, SCM y);
 231 SCM_API SCM scm_less_p (SCM x, SCM y);
 232 SCM_API SCM scm_gr_p (SCM x, SCM y);
 233 SCM_API SCM scm_leq_p (SCM x, SCM y);
 234 SCM_API SCM scm_geq_p (SCM x, SCM y);
 235 SCM_API SCM scm_zero_p (SCM z);
 236 SCM_API SCM scm_positive_p (SCM x);
 237 SCM_API SCM scm_negative_p (SCM x);
 238 SCM_API SCM scm_max (SCM x, SCM y);
 239 SCM_API SCM scm_min (SCM x, SCM y);
 240 SCM_API SCM scm_sum (SCM x, SCM y);
 241 SCM_API SCM scm_oneplus (SCM x);
 242 SCM_API SCM scm_difference (SCM x, SCM y);
 243 SCM_API SCM scm_oneminus (SCM x);
 244 SCM_API SCM scm_product (SCM x, SCM y);
 245 SCM_API SCM scm_divide (SCM x, SCM y);
 246 SCM_API SCM scm_floor (SCM x);
 247 SCM_API SCM scm_ceiling (SCM x);
 248 SCM_API double scm_asinh (double x);
 249 SCM_API double scm_acosh (double x);
 250 SCM_API double scm_atanh (double x);
 251 SCM_API double scm_c_truncate (double x);
 252 SCM_API double scm_c_round (double x);
 253 SCM_API SCM scm_truncate_number (SCM x);
 254 SCM_API SCM scm_round_number (SCM x);
 255 SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
 256 SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
 257 SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
 258 SCM_API SCM scm_make_polar (SCM z1, SCM z2);
 259 SCM_API SCM scm_real_part (SCM z);
 260 SCM_API SCM scm_imag_part (SCM z);
 261 SCM_API SCM scm_magnitude (SCM z);
 262 SCM_API SCM scm_angle (SCM z);
 263 SCM_API SCM scm_exact_to_inexact (SCM z);
 264 SCM_API SCM scm_inexact_to_exact (SCM z);
 265 SCM_API SCM scm_trunc (SCM x);
 266
 267 /* bignum internal functions */
 268 SCM_API SCM scm_i_mkbig (void);
 269 SCM_API SCM scm_i_normbig (SCM x);
 270 SCM_API int scm_i_bigcmp (SCM a, SCM b);
 271 SCM_API SCM scm_i_dbl2big (double d);
 272 SCM_API SCM scm_i_dbl2num (double d);
 273 SCM_API double scm_i_big2dbl (SCM b);
 274 SCM_API SCM scm_i_long2big (long n);
 275 SCM_API SCM scm_i_ulong2big (unsigned long n);
 276 SCM_API SCM scm_i_clonebig (SCM src_big, int same_sign_p);
 277
 278 /* ratio functions */
 279 SCM_API SCM scm_rationalize (SCM x, SCM err);
 280 SCM_API SCM scm_numerator (SCM z);
 281 SCM_API SCM scm_denominator (SCM z);
 282
 283 /* fraction internal functions */
 284 SCM_API double scm_i_fraction2double (SCM z);
 285 SCM_API SCM scm_i_fraction_equalp (SCM x, SCM y);
 286 SCM_API int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
 287
 288 /* general internal functions */
 289 SCM_API void scm_i_print_double (double val, SCM port);
 290 SCM_API void scm_i_print_complex (double real, double imag, SCM port);
 291
 292 /* conversion functions for integers */
 293
 294 SCM_API int scm_is_integer (SCM val);
 295 SCM_API int scm_is_signed_integer (SCM val,
 296                                    scm_t_intmax min, scm_t_intmax max);
 297 SCM_API int scm_is_unsigned_integer (SCM val,
 298                                      scm_t_uintmax min, scm_t_uintmax max);
 299
 300 SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
 301 SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
 302
 303 SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
 304                                             scm_t_intmax min,
 305                                             scm_t_intmax max);
 306 SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
 307                                                scm_t_uintmax min,
 308                                                scm_t_uintmax max);
 309
 310 SCM_API scm_t_int8   scm_to_int8     (SCM x);
 311 SCM_API SCM          scm_from_int8   (scm_t_int8 x);
 312
 313 SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
 314 SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);
 315
 316 SCM_API scm_t_int16  scm_to_int16    (SCM x);
 317 SCM_API SCM          scm_from_int16  (scm_t_int16 x);
 318
 319 SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
 320 SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);
 321
 322 SCM_API scm_t_int32  scm_to_int32    (SCM x);
 323 SCM_API SCM          scm_from_int32  (scm_t_int32 x);
 324
 325 SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
 326 SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);
 327
 328 #if SCM_HAVE_T_INT64
 329
 330 SCM_API scm_t_int64  scm_to_int64    (SCM x);
 331 SCM_API SCM          scm_from_int64  (scm_t_int64 x);
 332
 333 SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
 334 SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);
 335
 336 #endif
 337
 338 SCM_API void scm_to_mpz (SCM x, mpz_t rop);
 339 SCM_API SCM  scm_from_mpz (mpz_t rop);
 340
 341
 342 /* The conversion functions for other types are aliased to the
 343    appropriate ones from above.  We pick the right one based on the
 344    size of the type.
 345
 346    Not each and every possibility is covered by the code below, and
 347    while it is trivial to complete the tests, it might be better to
 348    just test for the 'sane' possibilities.  When one of the tests
 349    below fails, chances are good that some silent assumption somewhere
 350    else will also fail.
 351 */
 352
 353 #if SCM_SIZEOF_CHAR == 1
 354 #define scm_to_schar   scm_to_int8
 355 #define scm_from_schar scm_from_int8
 356 #define scm_to_uchar   scm_to_uint8
 357 #define scm_from_uchar scm_from_uint8
 358 #if CHAR_MIN == 0
 359 #define scm_to_char    scm_to_uint8
 360 #define scm_from_char  scm_from_uint8
 361 #else
 362 #define scm_to_char    scm_to_int8
 363 #define scm_from_char  scm_from_int8
 364 #endif
 365 #else
 366 #error sizeof(char) is not 1.
 367 #endif
 368
 369 #if SCM_SIZEOF_SHORT == 1
 370 #define scm_to_short    scm_to_int8
 371 #define scm_from_short  scm_from_int8
 372 #define scm_to_ushort   scm_to_uint8
 373 #define scm_from_ushort scm_from_uint8
 374 #else
 375 #if SCM_SIZEOF_SHORT == 2
 376 #define scm_to_short    scm_to_int16
 377 #define scm_from_short  scm_from_int16
 378 #define scm_to_ushort   scm_to_uint16
 379 #define scm_from_ushort scm_from_uint16
 380 #else
 381 #if SCM_SIZEOF_SHORT == 4
 382 #define scm_to_short    scm_to_int32
 383 #define scm_from_short  scm_from_int32
 384 #define scm_to_ushort   scm_to_uint32
 385 #define scm_from_ushort scm_from_uint32
 386 #else
 387 #error sizeof(short) is not 1, 2, or 4.
 388 #endif
 389 #endif
 390 #endif
 391
 392 #if SCM_SIZEOF_INT == 4
 393 #define scm_to_int    scm_to_int32
 394 #define scm_from_int  scm_from_int32
 395 #define scm_to_uint   scm_to_uint32
 396 #define scm_from_uint scm_from_uint32
 397 #else
 398 #if SCM_SIZEOF_INT == 8
 399 #define scm_to_int    scm_to_int64
 400 #define scm_from_int  scm_from_int64
 401 #define scm_to_uint   scm_to_uint64
 402 #define scm_from_uint scm_from_uint64
 403 #else
 404 #error sizeof(int) is not 4 or 8.
 405 #endif
 406 #endif
 407
 408 #if SCM_SIZEOF_LONG == 4
 409 #define scm_to_long    scm_to_int32
 410 #define scm_from_long  scm_from_int32
 411 #define scm_to_ulong   scm_to_uint32
 412 #define scm_from_ulong scm_from_uint32
 413 #else
 414 #if SCM_SIZEOF_LONG == 8
 415 #define scm_to_long    scm_to_int64
 416 #define scm_from_long  scm_from_int64
 417 #define scm_to_ulong   scm_to_uint64
 418 #define scm_from_ulong scm_from_uint64
 419 #else
 420 #error sizeof(long) is not 4 or 8.
 421 #endif
 422 #endif
 423
 424 #if SCM_SIZEOF_INTMAX == 4
 425 #define scm_to_intmax    scm_to_int32
 426 #define scm_from_intmax  scm_from_int32
 427 #define scm_to_uintmax   scm_to_uint32
 428 #define scm_from_uintmax scm_from_uint32
 429 #else
 430 #if SCM_SIZEOF_INTMAX == 8
 431 #define scm_to_intmax    scm_to_int64
 432 #define scm_from_intmax  scm_from_int64
 433 #define scm_to_uintmax   scm_to_uint64
 434 #define scm_from_uintmax scm_from_uint64
 435 #else
 436 #error sizeof(scm_t_intmax) is not 4 or 8.
 437 #endif
 438 #endif
 439
 440 #if SCM_SIZEOF_LONG_LONG == 0
 441 #else
 442 #if SCM_SIZEOF_LONG_LONG == 8
 443 #define scm_to_long_long    scm_to_int64
 444 #define scm_from_long_long  scm_from_int64
 445 #define scm_to_ulong_long   scm_to_uint64
 446 #define scm_from_ulong_long scm_from_uint64
 447 #else
 448 #error sizeof(long long) is not 8.
 449 #endif
 450 #endif
 451
 452 #if SCM_SIZEOF_SIZE_T == 4
 453 #define scm_to_ssize_t    scm_to_int32
 454 #define scm_from_ssize_t  scm_from_int32
 455 #define scm_to_size_t     scm_to_uint32
 456 #define scm_from_size_t   scm_from_uint32
 457 #else
 458 #if SCM_SIZEOF_SIZE_T == 8
 459 #define scm_to_ssize_t    scm_to_int64
 460 #define scm_from_ssize_t  scm_from_int64
 461 #define scm_to_size_t     scm_to_uint64
 462 #define scm_from_size_t   scm_from_uint64
 463 #else
 464 #error sizeof(size_t) is not 4 or 8.
 465 #endif
 466 #endif
 467
 468 /* conversion functions for double */
 469
 470 SCM_API int scm_is_real (SCM val);
 471 SCM_API int scm_is_rational (SCM val);
 472 SCM_API double scm_to_double (SCM val);
 473 SCM_API SCM scm_from_double (double val);
 474
 475 /* conversion functions for complex */
 476
 477 SCM_API int scm_is_complex (SCM val);
 478 SCM_API SCM scm_c_make_rectangular (double re, double im);
 479 SCM_API SCM scm_c_make_polar (double mag, double ang);
 480 SCM_API double scm_c_real_part (SCM z);
 481 SCM_API double scm_c_imag_part (SCM z);
 482 SCM_API double scm_c_magnitude (SCM z);
 483 SCM_API double scm_c_angle (SCM z);
 484
 485 SCM_API int scm_is_number (SCM val);
 486
 487 SCM_API void scm_init_numbers (void);
 488
 489 #endif  /* SCM_NUMBERS_H */
 490
 491 /*
 492   Local Variables:
 493   c-file-style: "gnu"
 494   End:
 495 */