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, 2008, 2009 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 License
  10  * as published by the Free Software Foundation; either version 3 of
  11  * the License, or (at your option) any later version.
  12  *
  13  * This library is distributed in the hope that it will be useful, but
  14  * 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
  21  * 02110-1301 USA
  22  */
  23
  24 \f
  25
  26 #include <gmp.h>
  27
  28 #include "libguile/__scm.h"
  29 #include "libguile/print.h"
  30
  31 #if SCM_HAVE_FLOATINGPOINT_H
  32 # include <floatingpoint.h>
  33 #endif
  34
  35 #if SCM_HAVE_IEEEFP_H
  36 # include <ieeefp.h>
  37 #endif
  38
  39 #if SCM_HAVE_NAN_H
  40 # if defined (SCO)
  41 #   define _IEEE 1
  42 # endif
  43 # include <nan.h>
  44 # if defined (SCO)
  45 #   undef _IEEE
  46 # endif
  47 #endif /* SCM_HAVE_NAN_H */
  48
  49 \f
  50
  51 /* Immediate Numbers, also known as fixnums
  52  *
  53  * Inums are exact integer data that fits within an SCM word.  */
  54
  55 /* SCM_T_SIGNED_MAX is                 (- (expt 2 n) 1),
  56  * SCM_MOST_POSITIVE_FIXNUM should be  (- (expt 2 (- n 2)) 1)
  57  * which is the same as                (/ (- (expt 2 n) 4) 4)
  58  */
  59
  60 #define SCM_I_FIXNUM_BIT         (SCM_LONG_BIT - 2)
  61 #define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
  62 #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
  63
  64 /* SCM_SRS is signed right shift */
  65 #if (-1 == (((-1) << 2) + 2) >> 2)
  66 # define SCM_SRS(x, y) ((x) >> (y))
  67 #else
  68 # define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
  69 #endif /* (-1 == (((-1) << 2) + 2) >> 2) */
  70
  71
  72 #define SCM_I_INUMP(x)  (2 & SCM_UNPACK (x))
  73 #define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
  74 #define SCM_I_MAKINUM(x) \
  75   (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
  76 #define SCM_I_INUM(x)   (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
  77
  78 /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
  79 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
  80 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
  81 #define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
  82
  83
  84 /* A name for 0. */
  85 #define SCM_INUM0 (SCM_I_MAKINUM (0))
  86
  87 /* SCM_MAXEXP is the maximum double precision exponent
  88  * SCM_FLTMAX is less than or scm_equal the largest single precision float
  89  */
  90
  91 #if SCM_HAVE_STDC_HEADERS
  92 # ifndef GO32
  93 #  include <float.h>
  94 #  ifdef __MINGW32__
  95 #   define copysign _copysign
  96 #   define finite _finite
  97 #  endif /* __MINGW32__ */
  98 # endif /* ndef GO32 */
  99 #endif /* def STDC_HEADERS */
 100
 101 #ifdef DBL_MAX_10_EXP
 102 # define SCM_MAXEXP DBL_MAX_10_EXP
 103 #else
 104 # define SCM_MAXEXP 308         /* IEEE doubles */
 105 #endif /* def DBL_MAX_10_EXP */
 106
 107 #ifdef FLT_MAX
 108 # define SCM_FLTMAX FLT_MAX
 109 #else
 110 # define SCM_FLTMAX 1e+23
 111 #endif /* def FLT_MAX */
 112
 113
 114 /* SCM_INTBUFLEN is the maximum number of characters neccessary for
 115  * the printed or scm_string representation of an scm_t_intmax in
 116  * radix 2.  The buffer passed to scm_iint2str and scm_iuint2str must
 117  * be of this size, for example.
 118  */
 119 #define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
 120
 121 \f
 122
 123 /* Numbers
 124  */
 125
 126
 127 /* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
 128  * differ in one bit: This way, checking if an object is an inexact number can
 129  * be done quickly (using the TYP16S macro).  */
 130
 131 /* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
 132  * and SCM_NUMP)  */
 133 #define scm_tc16_big            (scm_tc7_number + 1 * 256L)
 134 #define scm_tc16_real           (scm_tc7_number + 2 * 256L)
 135 #define scm_tc16_complex        (scm_tc7_number + 3 * 256L)
 136 #define scm_tc16_fraction       (scm_tc7_number + 4 * 256L)
 137
 138 #define SCM_INEXACTP(x) \
 139   (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
 140 #define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
 141 #define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
 142
 143 #define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
 144 #define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
 145 #define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
 146 #define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
 147
 148 /* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
 149 #define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
 150 #define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
 151
 152 #define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
 153 #define SCM_NUMP(x) (!SCM_IMP(x) \
 154   && (((0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number) \
 155       || ((0xfbff & SCM_CELL_TYPE (x)) == scm_tc7_number)))
 156 /* 0xfcff (#b1100) for 0 free, 1 big, 2 real, 3 complex, then 0xfbff (#b1011) for 4 fraction */
 157
 158 #define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
 159 #define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
 160 #define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
 161
 162 \f
 163
 164 typedef struct scm_t_double
 165 {
 166   SCM type;
 167   SCM pad;
 168   double real;
 169 } scm_t_double;
 170
 171 typedef struct scm_t_complex
 172 {
 173   double real;
 174   double imag;
 175 } scm_t_complex;
 176
 177 #ifndef SCM_WCHAR_DEFINED
 178 typedef scm_t_int32 scm_t_wchar;
 179 #define SCM_WCHAR_DEFINED
 180 #endif
 181
 182 \f
 183
 184 SCM_API SCM scm_exact_p (SCM x);
 185 SCM_API SCM scm_odd_p (SCM n);
 186 SCM_API SCM scm_even_p (SCM n);
 187 SCM_API SCM scm_inf_p (SCM n);
 188 SCM_API SCM scm_nan_p (SCM n);
 189 SCM_API SCM scm_inf (void);
 190 SCM_API SCM scm_nan (void);
 191 SCM_API SCM scm_abs (SCM x);
 192 SCM_API SCM scm_quotient (SCM x, SCM y);
 193 SCM_API SCM scm_remainder (SCM x, SCM y);
 194 SCM_API SCM scm_modulo (SCM x, SCM y);
 195 SCM_API SCM scm_gcd (SCM x, SCM y);
 196 SCM_API SCM scm_lcm (SCM n1, SCM n2);
 197 SCM_API SCM scm_logand (SCM n1, SCM n2);
 198 SCM_API SCM scm_logior (SCM n1, SCM n2);
 199 SCM_API SCM scm_logxor (SCM n1, SCM n2);
 200 SCM_API SCM scm_logtest (SCM n1, SCM n2);
 201 SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
 202 SCM_API SCM scm_lognot (SCM n);
 203 SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
 204 SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
 205 SCM_API SCM scm_ash (SCM n, SCM cnt);
 206 SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
 207 SCM_API SCM scm_logcount (SCM n);
 208 SCM_API SCM scm_integer_length (SCM n);
 209
 210 SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
 211 SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
 212 SCM_API SCM scm_number_to_string (SCM x, SCM radix);
 213 SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
 214 SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
 215 SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
 216 SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
 217                                             unsigned int radix);
 218 SCM_API SCM scm_string_to_number (SCM str, SCM radix);
 219 SCM_API SCM scm_bigequal (SCM x, SCM y);
 220 SCM_API SCM scm_real_equalp (SCM x, SCM y);
 221 SCM_API SCM scm_complex_equalp (SCM x, SCM y);
 222 SCM_API SCM scm_number_p (SCM x);
 223 SCM_API SCM scm_complex_p (SCM x);
 224 SCM_API SCM scm_real_p (SCM x);
 225 SCM_API SCM scm_rational_p (SCM z);
 226 SCM_API SCM scm_integer_p (SCM x);
 227 SCM_API SCM scm_inexact_p (SCM x);
 228 SCM_API SCM scm_num_eq_p (SCM x, SCM y);
 229 SCM_API SCM scm_less_p (SCM x, SCM y);
 230 SCM_API SCM scm_gr_p (SCM x, SCM y);
 231 SCM_API SCM scm_leq_p (SCM x, SCM y);
 232 SCM_API SCM scm_geq_p (SCM x, SCM y);
 233 SCM_API SCM scm_zero_p (SCM z);
 234 SCM_API SCM scm_positive_p (SCM x);
 235 SCM_API SCM scm_negative_p (SCM x);
 236 SCM_API SCM scm_max (SCM x, SCM y);
 237 SCM_API SCM scm_min (SCM x, SCM y);
 238 SCM_API SCM scm_sum (SCM x, SCM y);
 239 SCM_API SCM scm_oneplus (SCM x);
 240 SCM_API SCM scm_difference (SCM x, SCM y);
 241 SCM_API SCM scm_oneminus (SCM x);
 242 SCM_API SCM scm_product (SCM x, SCM y);
 243 SCM_API SCM scm_divide (SCM x, SCM y);
 244 SCM_API SCM scm_floor (SCM x);
 245 SCM_API SCM scm_ceiling (SCM x);
 246 SCM_API double scm_asinh (double x);
 247 SCM_API double scm_acosh (double x);
 248 SCM_API double scm_atanh (double x);
 249 SCM_API double scm_c_truncate (double x);
 250 SCM_API double scm_c_round (double x);
 251 SCM_API SCM scm_truncate_number (SCM x);
 252 SCM_API SCM scm_round_number (SCM x);
 253 SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
 254 SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
 255 SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
 256 SCM_API SCM scm_make_polar (SCM z1, SCM z2);
 257 SCM_API SCM scm_real_part (SCM z);
 258 SCM_API SCM scm_imag_part (SCM z);
 259 SCM_API SCM scm_magnitude (SCM z);
 260 SCM_API SCM scm_angle (SCM z);
 261 SCM_API SCM scm_exact_to_inexact (SCM z);
 262 SCM_API SCM scm_inexact_to_exact (SCM z);
 263 SCM_API SCM scm_trunc (SCM x);
 264 SCM_API SCM scm_log (SCM z);
 265 SCM_API SCM scm_log10 (SCM z);
 266 SCM_API SCM scm_exp (SCM z);
 267 SCM_API SCM scm_sqrt (SCM z);
 268
 269 /* bignum internal functions */
 270 SCM_INTERNAL SCM scm_i_mkbig (void);
 271 SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x);
 272 SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
 273 SCM_INTERNAL SCM scm_i_dbl2big (double d);
 274 SCM_INTERNAL SCM scm_i_dbl2num (double d);
 275 SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b);
 276 SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n);
 277 SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n);
 278 SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p);
 279
 280 /* ratio functions */
 281 SCM_API SCM scm_rationalize (SCM x, SCM err);
 282 SCM_API SCM scm_numerator (SCM z);
 283 SCM_API SCM scm_denominator (SCM z);
 284
 285 /* fraction internal functions */
 286 SCM_INTERNAL double scm_i_fraction2double (SCM z);
 287 SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
 288 SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
 289
 290 /* general internal functions */
 291 SCM_INTERNAL void scm_i_print_double (double val, SCM port);
 292 SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
 293
 294 /* conversion functions for integers */
 295
 296 SCM_API int scm_is_integer (SCM val);
 297 SCM_API int scm_is_signed_integer (SCM val,
 298                                    scm_t_intmax min, scm_t_intmax max);
 299 SCM_API int scm_is_unsigned_integer (SCM val,
 300                                      scm_t_uintmax min, scm_t_uintmax max);
 301
 302 SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
 303 SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
 304
 305 SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
 306                                             scm_t_intmax min,
 307                                             scm_t_intmax max);
 308 SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
 309                                                scm_t_uintmax min,
 310                                                scm_t_uintmax max);
 311
 312 SCM_API scm_t_int8   scm_to_int8     (SCM x);
 313 SCM_API SCM          scm_from_int8   (scm_t_int8 x);
 314
 315 SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
 316 SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);
 317
 318 SCM_API scm_t_int16  scm_to_int16    (SCM x);
 319 SCM_API SCM          scm_from_int16  (scm_t_int16 x);
 320
 321 SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
 322 SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);
 323
 324 SCM_API scm_t_int32  scm_to_int32    (SCM x);
 325 SCM_API SCM          scm_from_int32  (scm_t_int32 x);
 326
 327 SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
 328 SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);
 329
 330 SCM_API scm_t_wchar  scm_to_wchar    (SCM x);
 331 SCM_API SCM          scm_from_wchar  (scm_t_wchar x);
 332
 333 #if SCM_HAVE_T_INT64
 334
 335 SCM_API scm_t_int64  scm_to_int64    (SCM x);
 336 SCM_API SCM          scm_from_int64  (scm_t_int64 x);
 337
 338 SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
 339 SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);
 340
 341 #endif
 342
 343 SCM_API void scm_to_mpz (SCM x, mpz_t rop);
 344 SCM_API SCM  scm_from_mpz (mpz_t rop);
 345
 346
 347 /* The conversion functions for other types are aliased to the
 348    appropriate ones from above.  We pick the right one based on the
 349    size of the type.
 350
 351    Not each and every possibility is covered by the code below, and
 352    while it is trivial to complete the tests, it might be better to
 353    just test for the 'sane' possibilities.  When one of the tests
 354    below fails, chances are good that some silent assumption somewhere
 355    else will also fail.
 356 */
 357
 358 #if SCM_SIZEOF_CHAR == 1
 359 #define scm_to_schar   scm_to_int8
 360 #define scm_from_schar scm_from_int8
 361 #define scm_to_uchar   scm_to_uint8
 362 #define scm_from_uchar scm_from_uint8
 363 #if CHAR_MIN == 0
 364 #define scm_to_char    scm_to_uint8
 365 #define scm_from_char  scm_from_uint8
 366 #else
 367 #define scm_to_char    scm_to_int8
 368 #define scm_from_char  scm_from_int8
 369 #endif
 370 #else
 371 #error sizeof(char) is not 1.
 372 #endif
 373
 374 #if SCM_SIZEOF_SHORT == 1
 375 #define scm_to_short    scm_to_int8
 376 #define scm_from_short  scm_from_int8
 377 #define scm_to_ushort   scm_to_uint8
 378 #define scm_from_ushort scm_from_uint8
 379 #else
 380 #if SCM_SIZEOF_SHORT == 2
 381 #define scm_to_short    scm_to_int16
 382 #define scm_from_short  scm_from_int16
 383 #define scm_to_ushort   scm_to_uint16
 384 #define scm_from_ushort scm_from_uint16
 385 #else
 386 #if SCM_SIZEOF_SHORT == 4
 387 #define scm_to_short    scm_to_int32
 388 #define scm_from_short  scm_from_int32
 389 #define scm_to_ushort   scm_to_uint32
 390 #define scm_from_ushort scm_from_uint32
 391 #else
 392 #error sizeof(short) is not 1, 2, or 4.
 393 #endif
 394 #endif
 395 #endif
 396
 397 #if SCM_SIZEOF_INT == 4
 398 #define scm_to_int    scm_to_int32
 399 #define scm_from_int  scm_from_int32
 400 #define scm_to_uint   scm_to_uint32
 401 #define scm_from_uint scm_from_uint32
 402 #else
 403 #if SCM_SIZEOF_INT == 8
 404 #define scm_to_int    scm_to_int64
 405 #define scm_from_int  scm_from_int64
 406 #define scm_to_uint   scm_to_uint64
 407 #define scm_from_uint scm_from_uint64
 408 #else
 409 #error sizeof(int) is not 4 or 8.
 410 #endif
 411 #endif
 412
 413 #if SCM_SIZEOF_LONG == 4
 414 #define scm_to_long    scm_to_int32
 415 #define scm_from_long  scm_from_int32
 416 #define scm_to_ulong   scm_to_uint32
 417 #define scm_from_ulong scm_from_uint32
 418 #else
 419 #if SCM_SIZEOF_LONG == 8
 420 #define scm_to_long    scm_to_int64
 421 #define scm_from_long  scm_from_int64
 422 #define scm_to_ulong   scm_to_uint64
 423 #define scm_from_ulong scm_from_uint64
 424 #else
 425 #error sizeof(long) is not 4 or 8.
 426 #endif
 427 #endif
 428
 429 #if SCM_SIZEOF_INTMAX == 4
 430 #define scm_to_intmax    scm_to_int32
 431 #define scm_from_intmax  scm_from_int32
 432 #define scm_to_uintmax   scm_to_uint32
 433 #define scm_from_uintmax scm_from_uint32
 434 #else
 435 #if SCM_SIZEOF_INTMAX == 8
 436 #define scm_to_intmax    scm_to_int64
 437 #define scm_from_intmax  scm_from_int64
 438 #define scm_to_uintmax   scm_to_uint64
 439 #define scm_from_uintmax scm_from_uint64
 440 #else
 441 #error sizeof(scm_t_intmax) is not 4 or 8.
 442 #endif
 443 #endif
 444
 445 #if SCM_SIZEOF_LONG_LONG == 0
 446 #else
 447 #if SCM_SIZEOF_LONG_LONG == 8
 448 #define scm_to_long_long    scm_to_int64
 449 #define scm_from_long_long  scm_from_int64
 450 #define scm_to_ulong_long   scm_to_uint64
 451 #define scm_from_ulong_long scm_from_uint64
 452 #else
 453 #error sizeof(long long) is not 8.
 454 #endif
 455 #endif
 456
 457 #if SCM_SIZEOF_SIZE_T == 4
 458 #define scm_to_ssize_t    scm_to_int32
 459 #define scm_from_ssize_t  scm_from_int32
 460 #define scm_to_size_t     scm_to_uint32
 461 #define scm_from_size_t   scm_from_uint32
 462 #else
 463 #if SCM_SIZEOF_SIZE_T == 8
 464 #define scm_to_ssize_t    scm_to_int64
 465 #define scm_from_ssize_t  scm_from_int64
 466 #define scm_to_size_t     scm_to_uint64
 467 #define scm_from_size_t   scm_from_uint64
 468 #else
 469 #error sizeof(size_t) is not 4 or 8.
 470 #endif
 471 #endif
 472
 473 /* conversion functions for double */
 474
 475 SCM_API int scm_is_real (SCM val);
 476 SCM_API int scm_is_rational (SCM val);
 477 SCM_API double scm_to_double (SCM val);
 478 SCM_API SCM scm_from_double (double val);
 479
 480 /* conversion functions for complex */
 481
 482 SCM_API int scm_is_complex (SCM val);
 483 SCM_API SCM scm_c_make_rectangular (double re, double im);
 484 SCM_API SCM scm_c_make_polar (double mag, double ang);
 485 SCM_API double scm_c_real_part (SCM z);
 486 SCM_API double scm_c_imag_part (SCM z);
 487 SCM_API double scm_c_magnitude (SCM z);
 488 SCM_API double scm_c_angle (SCM z);
 489
 490 SCM_API int scm_is_number (SCM val);
 491
 492 SCM_INTERNAL void scm_init_numbers (void);
 493
 494 #endif  /* SCM_NUMBERS_H */
 495
 496 /*
 497   Local Variables:
 498   c-file-style: "gnu"
 499   End:
 500 */