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, 2010, 2011 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 #ifndef SCM_T_WCHAR_DEFINED
  32 typedef scm_t_int32 scm_t_wchar;
  33 #define SCM_T_WCHAR_DEFINED
  34 #endif /* SCM_T_WCHAR_DEFINED */
  35
  36 \f
  37
  38 /* Immediate Numbers, also known as fixnums
  39  *
  40  * Inums are exact integer data that fits within an SCM word.  */
  41
  42 /* SCM_T_SIGNED_MAX is                 (- (expt 2 n) 1),
  43  * SCM_MOST_POSITIVE_FIXNUM should be  (- (expt 2 (- n 2)) 1)
  44  * which is the same as                (/ (- (expt 2 n) 4) 4)
  45  */
  46
  47 #define SCM_I_FIXNUM_BIT         (SCM_LONG_BIT - 2)
  48 #define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
  49 #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
  50
  51 /* SCM_SRS is signed right shift */
  52 #if (-1 == (((-1) << 2) + 2) >> 2)
  53 # define SCM_SRS(x, y) ((x) >> (y))
  54 #else
  55 # define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
  56 #endif /* (-1 == (((-1) << 2) + 2) >> 2) */
  57
  58
  59 #define SCM_I_INUMP(x)  (2 & SCM_UNPACK (x))
  60 #define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
  61 #define SCM_I_MAKINUM(x) \
  62   (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
  63 #define SCM_I_INUM(x)   (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
  64
  65 /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
  66 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
  67 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
  68 #define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
  69
  70
  71 #define SCM_INUM0 (SCM_I_MAKINUM (0))  /* A name for 0 */
  72 #define SCM_INUM1 (SCM_I_MAKINUM (1))  /* A name for 1 */
  73
  74
  75 /* SCM_MAXEXP is the maximum double precision exponent
  76  * SCM_FLTMAX is less than or scm_equal the largest single precision float
  77  */
  78
  79 #if SCM_HAVE_STDC_HEADERS
  80 # ifndef GO32
  81 #  include <float.h>
  82 #  ifdef __MINGW32__
  83 #   define copysign _copysign
  84 #   define finite _finite
  85 #  endif /* __MINGW32__ */
  86 # endif /* ndef GO32 */
  87 #endif /* def STDC_HEADERS */
  88
  89 #ifdef DBL_MAX_10_EXP
  90 # define SCM_MAXEXP DBL_MAX_10_EXP
  91 #else
  92 # define SCM_MAXEXP 308         /* IEEE doubles */
  93 #endif /* def DBL_MAX_10_EXP */
  94
  95 #ifdef FLT_MAX
  96 # define SCM_FLTMAX FLT_MAX
  97 #else
  98 # define SCM_FLTMAX 1e+23
  99 #endif /* def FLT_MAX */
 100
 101
 102 /* SCM_INTBUFLEN is the maximum number of characters neccessary for
 103  * the printed or scm_string representation of an scm_t_intmax in
 104  * radix 2.  The buffer passed to scm_iint2str and scm_iuint2str must
 105  * be of this size, for example.
 106  */
 107 #define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
 108
 109 \f
 110
 111 /* Numbers
 112  */
 113
 114
 115 /* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
 116  * differ in one bit: This way, checking if an object is an inexact number can
 117  * be done quickly (using the TYP16S macro).  */
 118
 119 /* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
 120  * and SCM_NUMP)  */
 121 #define scm_tc16_big            (scm_tc7_number + 1 * 256L)
 122 #define scm_tc16_real           (scm_tc7_number + 2 * 256L)
 123 #define scm_tc16_complex        (scm_tc7_number + 3 * 256L)
 124 #define scm_tc16_fraction       (scm_tc7_number + 4 * 256L)
 125
 126 #define SCM_INEXACTP(x) \
 127   (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
 128 #define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
 129 #define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
 130
 131 #define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
 132 #define SCM_COMPLEX_REAL(x) (((scm_t_complex *) SCM2PTR (x))->real)
 133 #define SCM_COMPLEX_IMAG(x) (((scm_t_complex *) SCM2PTR (x))->imag)
 134
 135 /* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
 136 #define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
 137 #define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
 138
 139 #define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
 140 #define SCM_NUMP(x) (!SCM_IMP(x) \
 141   && (((0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number) \
 142       || ((0xfbff & SCM_CELL_TYPE (x)) == scm_tc7_number)))
 143 /* 0xfcff (#b1100) for 0 free, 1 big, 2 real, 3 complex, then 0xfbff (#b1011) for 4 fraction */
 144
 145 #define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
 146 #define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
 147 #define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
 148
 149 \f
 150
 151 typedef struct scm_t_double
 152 {
 153   SCM type;
 154   SCM pad;
 155   double real;
 156 } scm_t_double;
 157
 158 typedef struct scm_t_complex
 159 {
 160   SCM type;
 161   SCM pad;
 162   double real;
 163   double imag;
 164 } scm_t_complex;
 165
 166
 167 \f
 168
 169 SCM_API SCM scm_exact_p (SCM x);
 170 SCM_API SCM scm_odd_p (SCM n);
 171 SCM_API SCM scm_even_p (SCM n);
 172 SCM_API SCM scm_finite_p (SCM x);
 173 SCM_API SCM scm_inf_p (SCM x);
 174 SCM_API SCM scm_nan_p (SCM x);
 175 SCM_API SCM scm_inf (void);
 176 SCM_API SCM scm_nan (void);
 177 SCM_API SCM scm_abs (SCM x);
 178 SCM_API SCM scm_quotient (SCM x, SCM y);
 179 SCM_API SCM scm_remainder (SCM x, SCM y);
 180 SCM_API SCM scm_modulo (SCM x, SCM y);
 181 SCM_API SCM scm_euclidean_quo_and_rem (SCM x, SCM y);
 182 SCM_API SCM scm_euclidean_quotient (SCM x, SCM y);
 183 SCM_API SCM scm_euclidean_remainder (SCM x, SCM y);
 184 SCM_API SCM scm_centered_quo_and_rem (SCM x, SCM y);
 185 SCM_API SCM scm_centered_quotient (SCM x, SCM y);
 186 SCM_API SCM scm_centered_remainder (SCM x, SCM y);
 187 SCM_API SCM scm_gcd (SCM x, SCM y);
 188 SCM_API SCM scm_lcm (SCM n1, SCM n2);
 189 SCM_API SCM scm_logand (SCM n1, SCM n2);
 190 SCM_API SCM scm_logior (SCM n1, SCM n2);
 191 SCM_API SCM scm_logxor (SCM n1, SCM n2);
 192 SCM_API SCM scm_logtest (SCM n1, SCM n2);
 193 SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
 194 SCM_API SCM scm_lognot (SCM n);
 195 SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
 196 SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
 197 SCM_API SCM scm_ash (SCM n, SCM cnt);
 198 SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
 199 SCM_API SCM scm_logcount (SCM n);
 200 SCM_API SCM scm_integer_length (SCM n);
 201
 202 SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest);
 203 SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest);
 204 SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest);
 205 SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest);
 206 SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest);
 207
 208 SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
 209 SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
 210 SCM_API SCM scm_number_to_string (SCM x, SCM radix);
 211 SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
 212 SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
 213 SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
 214 SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
 215                                             unsigned int radix);
 216 SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix);
 217 SCM_API SCM scm_string_to_number (SCM str, SCM radix);
 218 SCM_API SCM scm_bigequal (SCM x, SCM y);
 219 SCM_API SCM scm_real_equalp (SCM x, SCM y);
 220 SCM_API SCM scm_complex_equalp (SCM x, SCM y);
 221 SCM_API SCM scm_number_p (SCM x);
 222 SCM_API SCM scm_complex_p (SCM x);
 223 SCM_API SCM scm_real_p (SCM x);
 224 SCM_API SCM scm_rational_p (SCM z);
 225 SCM_API SCM scm_integer_p (SCM x);
 226 SCM_API SCM scm_inexact_p (SCM x);
 227 SCM_API SCM scm_num_eq_p (SCM x, SCM y);
 228 SCM_API SCM scm_less_p (SCM x, SCM y);
 229 SCM_API SCM scm_gr_p (SCM x, SCM y);
 230 SCM_API SCM scm_leq_p (SCM x, SCM y);
 231 SCM_API SCM scm_geq_p (SCM x, SCM y);
 232 SCM_API SCM scm_zero_p (SCM z);
 233 SCM_API SCM scm_positive_p (SCM x);
 234 SCM_API SCM scm_negative_p (SCM x);
 235 SCM_API SCM scm_max (SCM x, SCM y);
 236 SCM_API SCM scm_min (SCM x, SCM y);
 237 SCM_API SCM scm_sum (SCM x, SCM y);
 238 SCM_API SCM scm_oneplus (SCM x);
 239 SCM_API SCM scm_difference (SCM x, SCM y);
 240 SCM_API SCM scm_oneminus (SCM x);
 241 SCM_API SCM scm_product (SCM x, SCM y);
 242 SCM_API SCM scm_divide (SCM x, SCM y);
 243 SCM_API SCM scm_floor (SCM x);
 244 SCM_API SCM scm_ceiling (SCM x);
 245 SCM_API double scm_c_truncate (double x);
 246 SCM_API double scm_c_round (double x);
 247 SCM_API SCM scm_truncate_number (SCM x);
 248 SCM_API SCM scm_round_number (SCM x);
 249 SCM_API SCM scm_expt (SCM z1, SCM z2);
 250 SCM_API SCM scm_sin (SCM z);
 251 SCM_API SCM scm_cos (SCM z);
 252 SCM_API SCM scm_tan (SCM z);
 253 SCM_API SCM scm_sinh (SCM z);
 254 SCM_API SCM scm_cosh (SCM z);
 255 SCM_API SCM scm_tanh (SCM z);
 256 SCM_API SCM scm_asin (SCM z);
 257 SCM_API SCM scm_acos (SCM z);
 258 SCM_API SCM scm_atan (SCM x, SCM y);
 259 SCM_API SCM scm_sys_asinh (SCM z);
 260 SCM_API SCM scm_sys_acosh (SCM z);
 261 SCM_API SCM scm_sys_atanh (SCM z);
 262 SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
 263 SCM_API SCM scm_make_polar (SCM z1, SCM z2);
 264 SCM_API SCM scm_real_part (SCM z);
 265 SCM_API SCM scm_imag_part (SCM z);
 266 SCM_API SCM scm_magnitude (SCM z);
 267 SCM_API SCM scm_angle (SCM z);
 268 SCM_API SCM scm_exact_to_inexact (SCM z);
 269 SCM_API SCM scm_inexact_to_exact (SCM z);
 270 SCM_API SCM scm_trunc (SCM x);
 271 SCM_API SCM scm_log (SCM z);
 272 SCM_API SCM scm_log10 (SCM z);
 273 SCM_API SCM scm_exp (SCM z);
 274 SCM_API SCM scm_sqrt (SCM z);
 275
 276 SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest);
 277 SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest);
 278 SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest);
 279 SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest);
 280 SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest);
 281 SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest);
 282
 283 /* bignum internal functions */
 284 SCM_INTERNAL SCM scm_i_mkbig (void);
 285 SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x);
 286 SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
 287 SCM_INTERNAL SCM scm_i_dbl2big (double d);
 288 SCM_INTERNAL SCM scm_i_dbl2num (double d);
 289 SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b);
 290 SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n);
 291 SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n);
 292 SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p);
 293
 294 /* ratio functions */
 295 SCM_API SCM scm_rationalize (SCM x, SCM err);
 296 SCM_API SCM scm_numerator (SCM z);
 297 SCM_API SCM scm_denominator (SCM z);
 298
 299 /* fraction internal functions */
 300 SCM_INTERNAL double scm_i_fraction2double (SCM z);
 301 SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
 302 SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
 303
 304 /* general internal functions */
 305 SCM_INTERNAL void scm_i_print_double (double val, SCM port);
 306 SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
 307
 308 /* conversion functions for integers */
 309
 310 SCM_API int scm_is_integer (SCM val);
 311 SCM_API int scm_is_signed_integer (SCM val,
 312                                    scm_t_intmax min, scm_t_intmax max);
 313 SCM_API int scm_is_unsigned_integer (SCM val,
 314                                      scm_t_uintmax min, scm_t_uintmax max);
 315
 316 SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
 317 SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
 318
 319 SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
 320                                             scm_t_intmax min,
 321                                             scm_t_intmax max);
 322 SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
 323                                                scm_t_uintmax min,
 324                                                scm_t_uintmax max);
 325
 326 SCM_API scm_t_int8   scm_to_int8     (SCM x);
 327 SCM_API SCM          scm_from_int8   (scm_t_int8 x);
 328
 329 SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
 330 SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);
 331
 332 SCM_API scm_t_int16  scm_to_int16    (SCM x);
 333 SCM_API SCM          scm_from_int16  (scm_t_int16 x);
 334
 335 SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
 336 SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);
 337
 338 SCM_API scm_t_int32  scm_to_int32    (SCM x);
 339 SCM_API SCM          scm_from_int32  (scm_t_int32 x);
 340
 341 SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
 342 SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);
 343
 344 SCM_API scm_t_wchar  scm_to_wchar    (SCM x);
 345 SCM_API SCM          scm_from_wchar  (scm_t_wchar x);
 346
 347 SCM_API scm_t_int64  scm_to_int64    (SCM x);
 348 SCM_API SCM          scm_from_int64  (scm_t_int64 x);
 349
 350 SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
 351 SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);
 352
 353 SCM_API void scm_to_mpz (SCM x, mpz_t rop);
 354 SCM_API SCM  scm_from_mpz (mpz_t rop);
 355
 356
 357 /* The conversion functions for other types are aliased to the
 358    appropriate ones from above.  We pick the right one based on the
 359    size of the type.
 360
 361    Not each and every possibility is covered by the code below, and
 362    while it is trivial to complete the tests, it might be better to
 363    just test for the 'sane' possibilities.  When one of the tests
 364    below fails, chances are good that some silent assumption somewhere
 365    else will also fail.
 366 */
 367
 368 #if SCM_SIZEOF_CHAR == 1
 369 #define scm_to_schar   scm_to_int8
 370 #define scm_from_schar scm_from_int8
 371 #define scm_to_uchar   scm_to_uint8
 372 #define scm_from_uchar scm_from_uint8
 373 #if CHAR_MIN == 0
 374 #define scm_to_char    scm_to_uint8
 375 #define scm_from_char  scm_from_uint8
 376 #else
 377 #define scm_to_char    scm_to_int8
 378 #define scm_from_char  scm_from_int8
 379 #endif
 380 #else
 381 #error sizeof(char) is not 1.
 382 #endif
 383
 384 #if SCM_SIZEOF_SHORT == 1
 385 #define scm_to_short    scm_to_int8
 386 #define scm_from_short  scm_from_int8
 387 #define scm_to_ushort   scm_to_uint8
 388 #define scm_from_ushort scm_from_uint8
 389 #else
 390 #if SCM_SIZEOF_SHORT == 2
 391 #define scm_to_short    scm_to_int16
 392 #define scm_from_short  scm_from_int16
 393 #define scm_to_ushort   scm_to_uint16
 394 #define scm_from_ushort scm_from_uint16
 395 #else
 396 #if SCM_SIZEOF_SHORT == 4
 397 #define scm_to_short    scm_to_int32
 398 #define scm_from_short  scm_from_int32
 399 #define scm_to_ushort   scm_to_uint32
 400 #define scm_from_ushort scm_from_uint32
 401 #else
 402 #error sizeof(short) is not 1, 2, or 4.
 403 #endif
 404 #endif
 405 #endif
 406
 407 #if SCM_SIZEOF_INT == 4
 408 #define scm_to_int    scm_to_int32
 409 #define scm_from_int  scm_from_int32
 410 #define scm_to_uint   scm_to_uint32
 411 #define scm_from_uint scm_from_uint32
 412 #else
 413 #if SCM_SIZEOF_INT == 8
 414 #define scm_to_int    scm_to_int64
 415 #define scm_from_int  scm_from_int64
 416 #define scm_to_uint   scm_to_uint64
 417 #define scm_from_uint scm_from_uint64
 418 #else
 419 #error sizeof(int) is not 4 or 8.
 420 #endif
 421 #endif
 422
 423 #if SCM_SIZEOF_LONG == 4
 424 #define scm_to_long    scm_to_int32
 425 #define scm_from_long  scm_from_int32
 426 #define scm_to_ulong   scm_to_uint32
 427 #define scm_from_ulong scm_from_uint32
 428 #else
 429 #if SCM_SIZEOF_LONG == 8
 430 #define scm_to_long    scm_to_int64
 431 #define scm_from_long  scm_from_int64
 432 #define scm_to_ulong   scm_to_uint64
 433 #define scm_from_ulong scm_from_uint64
 434 #else
 435 #error sizeof(long) is not 4 or 8.
 436 #endif
 437 #endif
 438
 439 #if SCM_SIZEOF_INTMAX == 4
 440 #define scm_to_intmax    scm_to_int32
 441 #define scm_from_intmax  scm_from_int32
 442 #define scm_to_uintmax   scm_to_uint32
 443 #define scm_from_uintmax scm_from_uint32
 444 #else
 445 #if SCM_SIZEOF_INTMAX == 8
 446 #define scm_to_intmax    scm_to_int64
 447 #define scm_from_intmax  scm_from_int64
 448 #define scm_to_uintmax   scm_to_uint64
 449 #define scm_from_uintmax scm_from_uint64
 450 #else
 451 #error sizeof(scm_t_intmax) is not 4 or 8.
 452 #endif
 453 #endif
 454
 455 #if SCM_SIZEOF_LONG_LONG == 0
 456 #else
 457 #if SCM_SIZEOF_LONG_LONG == 8
 458 #define scm_to_long_long    scm_to_int64
 459 #define scm_from_long_long  scm_from_int64
 460 #define scm_to_ulong_long   scm_to_uint64
 461 #define scm_from_ulong_long scm_from_uint64
 462 #else
 463 #error sizeof(long long) is not 8.
 464 #endif
 465 #endif
 466
 467 #if SCM_SIZEOF_SIZE_T == 4
 468 #define scm_to_ssize_t    scm_to_int32
 469 #define scm_from_ssize_t  scm_from_int32
 470 #define scm_to_size_t     scm_to_uint32
 471 #define scm_from_size_t   scm_from_uint32
 472 #else
 473 #if SCM_SIZEOF_SIZE_T == 8
 474 #define scm_to_ssize_t    scm_to_int64
 475 #define scm_from_ssize_t  scm_from_int64
 476 #define scm_to_size_t     scm_to_uint64
 477 #define scm_from_size_t   scm_from_uint64
 478 #else
 479 #error sizeof(size_t) is not 4 or 8.
 480 #endif
 481 #endif
 482
 483 /* conversion functions for double */
 484
 485 SCM_API int scm_is_real (SCM val);
 486 SCM_API int scm_is_rational (SCM val);
 487 SCM_API double scm_to_double (SCM val);
 488 SCM_API SCM scm_from_double (double val);
 489
 490 /* conversion functions for complex */
 491
 492 SCM_API int scm_is_complex (SCM val);
 493 SCM_API SCM scm_c_make_rectangular (double re, double im);
 494 SCM_API SCM scm_c_make_polar (double mag, double ang);
 495 SCM_API double scm_c_real_part (SCM z);
 496 SCM_API double scm_c_imag_part (SCM z);
 497 SCM_API double scm_c_magnitude (SCM z);
 498 SCM_API double scm_c_angle (SCM z);
 499
 500 SCM_API int scm_is_number (SCM val);
 501
 502 SCM_INTERNAL void scm_init_numbers (void);
 503
 504 #endif  /* SCM_NUMBERS_H */
 505
 506 /*
 507   Local Variables:
 508   c-file-style: "gnu"
 509   End:
 510 */