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,
   7  *   2008, 2009, 2010, 2011, 2013, 2014 Free Software Foundation, Inc.
   8  *
   9  * This library is free software; you can redistribute it and/or
  10  * modify it under the terms of the GNU Lesser General Public License
  11  * as published by the Free Software Foundation; either version 3 of
  12  * the License, or (at your option) any later version.
  13  *
  14  * This library is distributed in the hope that it will be useful, but
  15  * WITHOUT ANY WARRANTY; without even the implied warranty of
  16  * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
  17  * Lesser General Public License for more details.
  18  *
  19  * You should have received a copy of the GNU Lesser General Public
  20  * License along with this library; if not, write to the Free Software
  21  * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
  22  * 02110-1301 USA
  23  */
  24
  25 \f
  26
  27 #include <gmp.h>
  28
  29 #include "libguile/__scm.h"
  30 #include "libguile/print.h"
  31
  32 #ifndef SCM_T_WCHAR_DEFINED
  33 typedef scm_t_int32 scm_t_wchar;
  34 #define SCM_T_WCHAR_DEFINED
  35 #endif /* SCM_T_WCHAR_DEFINED */
  36
  37 \f
  38
  39 /* Immediate Numbers, also known as fixnums
  40  *
  41  * Inums are exact integer data that fits within an SCM word.  */
  42
  43 /* SCM_T_SIGNED_MAX is                 (- (expt 2 n) 1),
  44  * SCM_MOST_POSITIVE_FIXNUM should be  (- (expt 2 (- n 2)) 1)
  45  * which is the same as                (/ (- (expt 2 n) 4) 4)
  46  */
  47
  48 #define SCM_I_FIXNUM_BIT         (SCM_LONG_BIT - 2)
  49 #define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
  50 #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
  51
  52 /* SCM_SRS (X, Y) is signed right shift, defined as floor (X / 2^Y),
  53    where Y must be non-negative and less than the width in bits of X.
  54    It's common for >> to do this, but the C standards do not specify
  55    what happens when X is negative.
  56
  57    NOTE: X must not perform side effects.  */
  58 #if (-1 >> 2 == -1) && (-4 >> 2 == -1) && (-5 >> 2 == -2) && (-8 >> 2 == -2)
  59 # define SCM_SRS(x, y)  ((x) >> (y))
  60 #else
  61 # define SCM_SRS(x, y)                                   \
  62   ((x) < 0                                               \
  63    ? -1 - (scm_t_signed_bits) (~(scm_t_bits)(x) >> (y))  \
  64    : ((x) >> (y)))
  65 #endif
  66
  67
  68 /* The first implementation of SCM_I_INUM below depends on behavior that
  69    is specified by GNU C but not by C standards, namely that when
  70    casting to a signed integer of width N, the value is reduced modulo
  71    2^N to be within range of the type.  The second implementation below
  72    should be portable to all conforming C implementations, but may be
  73    less efficient if the compiler is not sufficiently clever.
  74
  75    NOTE: X must not perform side effects.  */
  76 #ifdef __GNUC__
  77 # define SCM_I_INUM(x)  (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
  78 #else
  79 # define SCM_I_INUM(x)                                \
  80   (SCM_UNPACK (x) > LONG_MAX                          \
  81    ? -1 - (scm_t_signed_bits) (~SCM_UNPACK (x) >> 2)  \
  82    : (scm_t_signed_bits) (SCM_UNPACK (x) >> 2))
  83 #endif
  84
  85 #define SCM_I_INUMP(x)  (2 & SCM_UNPACK (x))
  86 #define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
  87 #define SCM_I_MAKINUM(x) \
  88   (SCM_PACK ((((scm_t_bits) (x)) << 2) + scm_tc2_int))
  89
  90 /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
  91 #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
  92 #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
  93 #define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
  94
  95
  96 #define SCM_INUM0 (SCM_I_MAKINUM (0))  /* A name for 0 */
  97 #define SCM_INUM1 (SCM_I_MAKINUM (1))  /* A name for 1 */
  98
  99
 100 /* SCM_MAXEXP is the maximum double precision exponent
 101  * SCM_FLTMAX is less than or scm_equal the largest single precision float
 102  */
 103
 104 #if SCM_HAVE_STDC_HEADERS
 105 # ifndef GO32
 106 #  include <float.h>
 107 #  ifdef __MINGW32__
 108 #   define copysign _copysign
 109 #   define finite _finite
 110 #  endif /* __MINGW32__ */
 111 # endif /* ndef GO32 */
 112 #endif /* def STDC_HEADERS */
 113
 114 #ifdef DBL_MAX_10_EXP
 115 # define SCM_MAXEXP DBL_MAX_10_EXP
 116 #else
 117 # define SCM_MAXEXP 308         /* IEEE doubles */
 118 #endif /* def DBL_MAX_10_EXP */
 119
 120 #ifdef FLT_MAX
 121 # define SCM_FLTMAX FLT_MAX
 122 #else
 123 # define SCM_FLTMAX 1e+23
 124 #endif /* def FLT_MAX */
 125
 126
 127 /* SCM_INTBUFLEN is the maximum number of characters neccessary for
 128  * the printed or scm_string representation of an scm_t_intmax in
 129  * radix 2.  The buffer passed to scm_iint2str and scm_iuint2str must
 130  * be of this size, for example.
 131  */
 132 #define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
 133
 134 \f
 135
 136 /* Numbers
 137  */
 138
 139
 140 /* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
 141  * differ in one bit: This way, checking if an object is an inexact number can
 142  * be done quickly (using the TYP16S macro).  */
 143
 144 /* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
 145  * and SCM_NUMP)  */
 146 #define scm_tc16_big            (scm_tc7_number + 1 * 256L)
 147 #define scm_tc16_real           (scm_tc7_number + 2 * 256L)
 148 #define scm_tc16_complex        (scm_tc7_number + 3 * 256L)
 149 #define scm_tc16_fraction       (scm_tc7_number + 4 * 256L)
 150
 151 #define SCM_INEXACTP(x) \
 152   (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
 153 #define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
 154 #define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
 155
 156 #define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
 157 #define SCM_COMPLEX_REAL(x) (((scm_t_complex *) SCM2PTR (x))->real)
 158 #define SCM_COMPLEX_IMAG(x) (((scm_t_complex *) SCM2PTR (x))->imag)
 159
 160 /* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
 161 #define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
 162 #define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
 163
 164 #define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
 165 #define SCM_NUMP(x) (!SCM_IMP(x) \
 166                      && ((0x00ff & SCM_CELL_TYPE (x)) == scm_tc7_number))
 167
 168 #define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
 169 #define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
 170 #define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
 171
 172 \f
 173
 174 typedef struct scm_t_double
 175 {
 176   SCM type;
 177   SCM pad;
 178   double real;
 179 } scm_t_double;
 180
 181 typedef struct scm_t_complex
 182 {
 183   SCM type;
 184   SCM pad;
 185   double real;
 186   double imag;
 187 } scm_t_complex;
 188
 189
 190 \f
 191
 192 SCM_API SCM scm_exact_p (SCM x);
 193 SCM_API int scm_is_exact (SCM x);
 194 SCM_API SCM scm_odd_p (SCM n);
 195 SCM_API SCM scm_even_p (SCM n);
 196 SCM_API SCM scm_finite_p (SCM x);
 197 SCM_API SCM scm_inf_p (SCM x);
 198 SCM_API SCM scm_nan_p (SCM x);
 199 SCM_API SCM scm_inf (void);
 200 SCM_API SCM scm_nan (void);
 201 SCM_API SCM scm_abs (SCM x);
 202 SCM_API SCM scm_quotient (SCM x, SCM y);
 203 SCM_API SCM scm_remainder (SCM x, SCM y);
 204 SCM_API SCM scm_modulo (SCM x, SCM y);
 205 SCM_API void scm_euclidean_divide (SCM x, SCM y, SCM *q, SCM *r);
 206 SCM_API SCM scm_euclidean_quotient (SCM x, SCM y);
 207 SCM_API SCM scm_euclidean_remainder (SCM x, SCM y);
 208 SCM_API void scm_floor_divide (SCM x, SCM y, SCM *q, SCM *r);
 209 SCM_API SCM scm_floor_quotient (SCM x, SCM y);
 210 SCM_API SCM scm_floor_remainder (SCM x, SCM y);
 211 SCM_API void scm_ceiling_divide (SCM x, SCM y, SCM *q, SCM *r);
 212 SCM_API SCM scm_ceiling_quotient (SCM x, SCM y);
 213 SCM_API SCM scm_ceiling_remainder (SCM x, SCM y);
 214 SCM_API void scm_truncate_divide (SCM x, SCM y, SCM *q, SCM *r);
 215 SCM_API SCM scm_truncate_quotient (SCM x, SCM y);
 216 SCM_API SCM scm_truncate_remainder (SCM x, SCM y);
 217 SCM_API void scm_centered_divide (SCM x, SCM y, SCM *q, SCM *r);
 218 SCM_API SCM scm_centered_quotient (SCM x, SCM y);
 219 SCM_API SCM scm_centered_remainder (SCM x, SCM y);
 220 SCM_API void scm_round_divide (SCM x, SCM y, SCM *q, SCM *r);
 221 SCM_API SCM scm_round_quotient (SCM x, SCM y);
 222 SCM_API SCM scm_round_remainder (SCM x, SCM y);
 223 SCM_API SCM scm_gcd (SCM x, SCM y);
 224 SCM_API SCM scm_lcm (SCM n1, SCM n2);
 225 SCM_API SCM scm_logand (SCM n1, SCM n2);
 226 SCM_API SCM scm_logior (SCM n1, SCM n2);
 227 SCM_API SCM scm_logxor (SCM n1, SCM n2);
 228 SCM_API SCM scm_logtest (SCM n1, SCM n2);
 229 SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
 230 SCM_API SCM scm_lognot (SCM n);
 231 SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
 232 SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
 233 SCM_API SCM scm_ash (SCM n, SCM count);
 234 SCM_API SCM scm_round_ash (SCM n, SCM count);
 235 SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
 236 SCM_API SCM scm_logcount (SCM n);
 237 SCM_API SCM scm_integer_length (SCM n);
 238
 239 SCM_INTERNAL SCM scm_i_euclidean_divide (SCM x, SCM y);
 240 SCM_INTERNAL SCM scm_i_floor_divide (SCM x, SCM y);
 241 SCM_INTERNAL SCM scm_i_ceiling_divide (SCM x, SCM y);
 242 SCM_INTERNAL SCM scm_i_truncate_divide (SCM x, SCM y);
 243 SCM_INTERNAL SCM scm_i_centered_divide (SCM x, SCM y);
 244 SCM_INTERNAL SCM scm_i_round_divide (SCM x, SCM y);
 245
 246 SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest);
 247 SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest);
 248 SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest);
 249 SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest);
 250 SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest);
 251
 252 SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
 253 SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
 254 SCM_API SCM scm_number_to_string (SCM x, SCM radix);
 255 SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
 256 SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
 257 SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
 258 SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
 259                                             unsigned int radix);
 260 SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix);
 261 SCM_API SCM scm_string_to_number (SCM str, SCM radix);
 262 SCM_API SCM scm_bigequal (SCM x, SCM y);
 263 SCM_API SCM scm_real_equalp (SCM x, SCM y);
 264 SCM_API SCM scm_complex_equalp (SCM x, SCM y);
 265 SCM_API SCM scm_number_p (SCM x);
 266 SCM_API SCM scm_complex_p (SCM x);
 267 SCM_API SCM scm_real_p (SCM x);
 268 SCM_API SCM scm_rational_p (SCM z);
 269 SCM_API SCM scm_integer_p (SCM x);
 270 SCM_API SCM scm_exact_integer_p (SCM x);
 271 SCM_API SCM scm_inexact_p (SCM x);
 272 SCM_API int scm_is_inexact (SCM x);
 273 SCM_API SCM scm_num_eq_p (SCM x, SCM y);
 274 SCM_API SCM scm_less_p (SCM x, SCM y);
 275 SCM_API SCM scm_gr_p (SCM x, SCM y);
 276 SCM_API SCM scm_leq_p (SCM x, SCM y);
 277 SCM_API SCM scm_geq_p (SCM x, SCM y);
 278 SCM_API SCM scm_zero_p (SCM z);
 279 SCM_API SCM scm_positive_p (SCM x);
 280 SCM_API SCM scm_negative_p (SCM x);
 281 SCM_API SCM scm_max (SCM x, SCM y);
 282 SCM_API SCM scm_min (SCM x, SCM y);
 283 SCM_API SCM scm_sum (SCM x, SCM y);
 284 SCM_API SCM scm_oneplus (SCM x);
 285 SCM_API SCM scm_difference (SCM x, SCM y);
 286 SCM_API SCM scm_oneminus (SCM x);
 287 SCM_API SCM scm_product (SCM x, SCM y);
 288 SCM_API SCM scm_divide (SCM x, SCM y);
 289 SCM_API SCM scm_floor (SCM x);
 290 SCM_API SCM scm_ceiling (SCM x);
 291 SCM_API double scm_c_truncate (double x);
 292 SCM_API double scm_c_round (double x);
 293 SCM_API SCM scm_truncate_number (SCM x);
 294 SCM_API SCM scm_round_number (SCM x);
 295 SCM_API SCM scm_expt (SCM z1, SCM z2);
 296 SCM_API SCM scm_sin (SCM z);
 297 SCM_API SCM scm_cos (SCM z);
 298 SCM_API SCM scm_tan (SCM z);
 299 SCM_API SCM scm_sinh (SCM z);
 300 SCM_API SCM scm_cosh (SCM z);
 301 SCM_API SCM scm_tanh (SCM z);
 302 SCM_API SCM scm_asin (SCM z);
 303 SCM_API SCM scm_acos (SCM z);
 304 SCM_API SCM scm_atan (SCM x, SCM y);
 305 SCM_API SCM scm_sys_asinh (SCM z);
 306 SCM_API SCM scm_sys_acosh (SCM z);
 307 SCM_API SCM scm_sys_atanh (SCM z);
 308 SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
 309 SCM_API SCM scm_make_polar (SCM z1, SCM z2);
 310 SCM_API SCM scm_real_part (SCM z);
 311 SCM_API SCM scm_imag_part (SCM z);
 312 SCM_API SCM scm_magnitude (SCM z);
 313 SCM_API SCM scm_angle (SCM z);
 314 SCM_API SCM scm_exact_to_inexact (SCM z);
 315 SCM_API SCM scm_inexact_to_exact (SCM z);
 316 SCM_API SCM scm_trunc (SCM x);
 317 SCM_API SCM scm_log (SCM z);
 318 SCM_API SCM scm_log10 (SCM z);
 319 SCM_API SCM scm_exp (SCM z);
 320 SCM_API SCM scm_sqrt (SCM z);
 321 SCM_API void scm_exact_integer_sqrt (SCM k, SCM *s, SCM *r);
 322
 323 SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest);
 324 SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest);
 325 SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest);
 326 SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest);
 327 SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest);
 328 SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest);
 329 SCM_INTERNAL SCM scm_i_exact_integer_sqrt (SCM k);
 330
 331 /* bignum internal functions */
 332 SCM_INTERNAL SCM scm_i_mkbig (void);
 333 SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x);
 334 SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
 335 SCM_INTERNAL SCM scm_i_dbl2big (double d);
 336 SCM_INTERNAL SCM scm_i_dbl2num (double d);
 337 SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b);
 338 SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n);
 339 SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n);
 340 SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p);
 341
 342 /* ratio functions */
 343 SCM_API SCM scm_rationalize (SCM x, SCM err);
 344 SCM_API SCM scm_numerator (SCM z);
 345 SCM_API SCM scm_denominator (SCM z);
 346
 347 /* fraction internal functions */
 348 SCM_INTERNAL double scm_i_fraction2double (SCM z);
 349 SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
 350 SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
 351
 352 /* general internal functions */
 353 SCM_INTERNAL void scm_i_print_double (double val, SCM port);
 354 SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
 355
 356 /* conversion functions for integers */
 357
 358 SCM_API int scm_is_integer (SCM val);
 359 SCM_API int scm_is_exact_integer (SCM val);
 360 SCM_API int scm_is_signed_integer (SCM val,
 361                                    scm_t_intmax min, scm_t_intmax max);
 362 SCM_API int scm_is_unsigned_integer (SCM val,
 363                                      scm_t_uintmax min, scm_t_uintmax max);
 364
 365 SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
 366 SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
 367
 368 SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
 369                                             scm_t_intmax min,
 370                                             scm_t_intmax max);
 371 SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
 372                                                scm_t_uintmax min,
 373                                                scm_t_uintmax max);
 374
 375 SCM_API scm_t_int8   scm_to_int8     (SCM x);
 376 SCM_API SCM          scm_from_int8   (scm_t_int8 x);
 377
 378 SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
 379 SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);
 380
 381 SCM_API scm_t_int16  scm_to_int16    (SCM x);
 382 SCM_API SCM          scm_from_int16  (scm_t_int16 x);
 383
 384 SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
 385 SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);
 386
 387 SCM_API scm_t_int32  scm_to_int32    (SCM x);
 388 SCM_API SCM          scm_from_int32  (scm_t_int32 x);
 389
 390 SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
 391 SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);
 392
 393 SCM_API scm_t_wchar  scm_to_wchar    (SCM x);
 394 SCM_API SCM          scm_from_wchar  (scm_t_wchar x);
 395
 396 SCM_API scm_t_int64  scm_to_int64    (SCM x);
 397 SCM_API SCM          scm_from_int64  (scm_t_int64 x);
 398
 399 SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
 400 SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);
 401
 402 SCM_API void scm_to_mpz (SCM x, mpz_t rop);
 403 SCM_API SCM  scm_from_mpz (mpz_t rop);
 404
 405
 406 /* The conversion functions for other types are aliased to the
 407    appropriate ones from above.  We pick the right one based on the
 408    size of the type.
 409
 410    Not each and every possibility is covered by the code below, and
 411    while it is trivial to complete the tests, it might be better to
 412    just test for the 'sane' possibilities.  When one of the tests
 413    below fails, chances are good that some silent assumption somewhere
 414    else will also fail.
 415 */
 416
 417 #if SCM_SIZEOF_CHAR == 1
 418 #define scm_to_schar   scm_to_int8
 419 #define scm_from_schar scm_from_int8
 420 #define scm_to_uchar   scm_to_uint8
 421 #define scm_from_uchar scm_from_uint8
 422 #if CHAR_MIN == 0
 423 #define scm_to_char    scm_to_uint8
 424 #define scm_from_char  scm_from_uint8
 425 #else
 426 #define scm_to_char    scm_to_int8
 427 #define scm_from_char  scm_from_int8
 428 #endif
 429 #else
 430 #error sizeof(char) is not 1.
 431 #endif
 432
 433 #if SCM_SIZEOF_SHORT == 1
 434 #define scm_to_short    scm_to_int8
 435 #define scm_from_short  scm_from_int8
 436 #define scm_to_ushort   scm_to_uint8
 437 #define scm_from_ushort scm_from_uint8
 438 #else
 439 #if SCM_SIZEOF_SHORT == 2
 440 #define scm_to_short    scm_to_int16
 441 #define scm_from_short  scm_from_int16
 442 #define scm_to_ushort   scm_to_uint16
 443 #define scm_from_ushort scm_from_uint16
 444 #else
 445 #if SCM_SIZEOF_SHORT == 4
 446 #define scm_to_short    scm_to_int32
 447 #define scm_from_short  scm_from_int32
 448 #define scm_to_ushort   scm_to_uint32
 449 #define scm_from_ushort scm_from_uint32
 450 #else
 451 #error sizeof(short) is not 1, 2, or 4.
 452 #endif
 453 #endif
 454 #endif
 455
 456 #if SCM_SIZEOF_INT == 4
 457 #define scm_to_int    scm_to_int32
 458 #define scm_from_int  scm_from_int32
 459 #define scm_to_uint   scm_to_uint32
 460 #define scm_from_uint scm_from_uint32
 461 #else
 462 #if SCM_SIZEOF_INT == 8
 463 #define scm_to_int    scm_to_int64
 464 #define scm_from_int  scm_from_int64
 465 #define scm_to_uint   scm_to_uint64
 466 #define scm_from_uint scm_from_uint64
 467 #else
 468 #error sizeof(int) is not 4 or 8.
 469 #endif
 470 #endif
 471
 472 #if SCM_SIZEOF_LONG == 4
 473 #define scm_to_long    scm_to_int32
 474 #define scm_from_long  scm_from_int32
 475 #define scm_to_ulong   scm_to_uint32
 476 #define scm_from_ulong scm_from_uint32
 477 #else
 478 #if SCM_SIZEOF_LONG == 8
 479 #define scm_to_long    scm_to_int64
 480 #define scm_from_long  scm_from_int64
 481 #define scm_to_ulong   scm_to_uint64
 482 #define scm_from_ulong scm_from_uint64
 483 #else
 484 #error sizeof(long) is not 4 or 8.
 485 #endif
 486 #endif
 487
 488 #if SCM_SIZEOF_INTMAX == 4
 489 #define scm_to_intmax    scm_to_int32
 490 #define scm_from_intmax  scm_from_int32
 491 #define scm_to_uintmax   scm_to_uint32
 492 #define scm_from_uintmax scm_from_uint32
 493 #else
 494 #if SCM_SIZEOF_INTMAX == 8
 495 #define scm_to_intmax    scm_to_int64
 496 #define scm_from_intmax  scm_from_int64
 497 #define scm_to_uintmax   scm_to_uint64
 498 #define scm_from_uintmax scm_from_uint64
 499 #else
 500 #error sizeof(scm_t_intmax) is not 4 or 8.
 501 #endif
 502 #endif
 503
 504 #if SCM_SIZEOF_LONG_LONG == 0
 505 #else
 506 #if SCM_SIZEOF_LONG_LONG == 8
 507 #define scm_to_long_long    scm_to_int64
 508 #define scm_from_long_long  scm_from_int64
 509 #define scm_to_ulong_long   scm_to_uint64
 510 #define scm_from_ulong_long scm_from_uint64
 511 #else
 512 #error sizeof(long long) is not 8.
 513 #endif
 514 #endif
 515
 516 #if SCM_SIZEOF_SIZE_T == 4
 517 #define scm_to_ssize_t    scm_to_int32
 518 #define scm_from_ssize_t  scm_from_int32
 519 #define scm_to_size_t     scm_to_uint32
 520 #define scm_from_size_t   scm_from_uint32
 521 #else
 522 #if SCM_SIZEOF_SIZE_T == 8
 523 #define scm_to_ssize_t    scm_to_int64
 524 #define scm_from_ssize_t  scm_from_int64
 525 #define scm_to_size_t     scm_to_uint64
 526 #define scm_from_size_t   scm_from_uint64
 527 #else
 528 #error sizeof(size_t) is not 4 or 8.
 529 #endif
 530 #endif
 531
 532 #if SCM_SIZEOF_SCM_T_PTRDIFF == 4
 533 #define scm_to_ptrdiff_t    scm_to_int32
 534 #define scm_from_ptrdiff_t  scm_from_int32
 535 #else
 536 #if SCM_SIZEOF_SCM_T_PTRDIFF == 8
 537 #define scm_to_ptrdiff_t    scm_to_int64
 538 #define scm_from_ptrdiff_t  scm_from_int64
 539 #else
 540 #error sizeof(scm_t_ptrdiff) is not 4 or 8.
 541 #endif
 542 #endif
 543
 544 /* conversion functions for double */
 545
 546 SCM_API int scm_is_real (SCM val);
 547 SCM_API int scm_is_rational (SCM val);
 548 SCM_API double scm_to_double (SCM val);
 549 SCM_API SCM scm_from_double (double val);
 550
 551 /* conversion functions for complex */
 552
 553 SCM_API int scm_is_complex (SCM val);
 554 SCM_API SCM scm_c_make_rectangular (double re, double im);
 555 SCM_API SCM scm_c_make_polar (double mag, double ang);
 556 SCM_API double scm_c_real_part (SCM z);
 557 SCM_API double scm_c_imag_part (SCM z);
 558 SCM_API double scm_c_magnitude (SCM z);
 559 SCM_API double scm_c_angle (SCM z);
 560
 561 SCM_API int scm_is_number (SCM val);
 562
 563 /* If nonzero, tell gmp to use GC_malloc for its allocations.  */
 564 SCM_API int scm_install_gmp_memory_functions;
 565
 566 SCM_INTERNAL void scm_init_numbers (void);
 567
 568 #endif  /* SCM_NUMBERS_H */
 569
 570 /*
 571   Local Variables:
 572   c-file-style: "gnu"
 573   End:
 574 */