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                      && ((0x00ff & SCM_CELL_TYPE (x)) == scm_tc7_number))
 142
 143 #define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
 144 #define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
 145 #define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
 146
 147 \f
 148
 149 typedef struct scm_t_double
 150 {
 151   SCM type;
 152   SCM pad;
 153   double real;
 154 } scm_t_double;
 155
 156 typedef struct scm_t_complex
 157 {
 158   SCM type;
 159   SCM pad;
 160   double real;
 161   double imag;
 162 } scm_t_complex;
 163
 164
 165 \f
 166
 167 SCM_API SCM scm_exact_p (SCM x);
 168 SCM_API SCM scm_odd_p (SCM n);
 169 SCM_API SCM scm_even_p (SCM n);
 170 SCM_API SCM scm_finite_p (SCM x);
 171 SCM_API SCM scm_inf_p (SCM x);
 172 SCM_API SCM scm_nan_p (SCM x);
 173 SCM_API SCM scm_inf (void);
 174 SCM_API SCM scm_nan (void);
 175 SCM_API SCM scm_abs (SCM x);
 176 SCM_API SCM scm_quotient (SCM x, SCM y);
 177 SCM_API SCM scm_remainder (SCM x, SCM y);
 178 SCM_API SCM scm_modulo (SCM x, SCM y);
 179 SCM_API void scm_euclidean_divide (SCM x, SCM y, SCM *q, SCM *r);
 180 SCM_API SCM scm_euclidean_quotient (SCM x, SCM y);
 181 SCM_API SCM scm_euclidean_remainder (SCM x, SCM y);
 182 SCM_API void scm_floor_divide (SCM x, SCM y, SCM *q, SCM *r);
 183 SCM_API SCM scm_floor_quotient (SCM x, SCM y);
 184 SCM_API SCM scm_floor_remainder (SCM x, SCM y);
 185 SCM_API void scm_ceiling_divide (SCM x, SCM y, SCM *q, SCM *r);
 186 SCM_API SCM scm_ceiling_quotient (SCM x, SCM y);
 187 SCM_API SCM scm_ceiling_remainder (SCM x, SCM y);
 188 SCM_API void scm_truncate_divide (SCM x, SCM y, SCM *q, SCM *r);
 189 SCM_API SCM scm_truncate_quotient (SCM x, SCM y);
 190 SCM_API SCM scm_truncate_remainder (SCM x, SCM y);
 191 SCM_API void scm_centered_divide (SCM x, SCM y, SCM *q, SCM *r);
 192 SCM_API SCM scm_centered_quotient (SCM x, SCM y);
 193 SCM_API SCM scm_centered_remainder (SCM x, SCM y);
 194 SCM_API void scm_round_divide (SCM x, SCM y, SCM *q, SCM *r);
 195 SCM_API SCM scm_round_quotient (SCM x, SCM y);
 196 SCM_API SCM scm_round_remainder (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_INTERNAL SCM scm_i_euclidean_divide (SCM x, SCM y);
 213 SCM_INTERNAL SCM scm_i_floor_divide (SCM x, SCM y);
 214 SCM_INTERNAL SCM scm_i_ceiling_divide (SCM x, SCM y);
 215 SCM_INTERNAL SCM scm_i_truncate_divide (SCM x, SCM y);
 216 SCM_INTERNAL SCM scm_i_centered_divide (SCM x, SCM y);
 217 SCM_INTERNAL SCM scm_i_round_divide (SCM x, SCM y);
 218
 219 SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest);
 220 SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest);
 221 SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest);
 222 SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest);
 223 SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest);
 224
 225 SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
 226 SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
 227 SCM_API SCM scm_number_to_string (SCM x, SCM radix);
 228 SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
 229 SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
 230 SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
 231 SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
 232                                             unsigned int radix);
 233 SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix);
 234 SCM_API SCM scm_string_to_number (SCM str, SCM radix);
 235 SCM_API SCM scm_bigequal (SCM x, SCM y);
 236 SCM_API SCM scm_real_equalp (SCM x, SCM y);
 237 SCM_API SCM scm_complex_equalp (SCM x, SCM y);
 238 SCM_API SCM scm_number_p (SCM x);
 239 SCM_API SCM scm_complex_p (SCM x);
 240 SCM_API SCM scm_real_p (SCM x);
 241 SCM_API SCM scm_rational_p (SCM z);
 242 SCM_API SCM scm_integer_p (SCM x);
 243 SCM_API SCM scm_inexact_p (SCM x);
 244 SCM_API SCM scm_num_eq_p (SCM x, SCM y);
 245 SCM_API SCM scm_less_p (SCM x, SCM y);
 246 SCM_API SCM scm_gr_p (SCM x, SCM y);
 247 SCM_API SCM scm_leq_p (SCM x, SCM y);
 248 SCM_API SCM scm_geq_p (SCM x, SCM y);
 249 SCM_API SCM scm_zero_p (SCM z);
 250 SCM_API SCM scm_positive_p (SCM x);
 251 SCM_API SCM scm_negative_p (SCM x);
 252 SCM_API SCM scm_max (SCM x, SCM y);
 253 SCM_API SCM scm_min (SCM x, SCM y);
 254 SCM_API SCM scm_sum (SCM x, SCM y);
 255 SCM_API SCM scm_oneplus (SCM x);
 256 SCM_API SCM scm_difference (SCM x, SCM y);
 257 SCM_API SCM scm_oneminus (SCM x);
 258 SCM_API SCM scm_product (SCM x, SCM y);
 259 SCM_API SCM scm_divide (SCM x, SCM y);
 260 SCM_API SCM scm_floor (SCM x);
 261 SCM_API SCM scm_ceiling (SCM x);
 262 SCM_API double scm_c_truncate (double x);
 263 SCM_API double scm_c_round (double x);
 264 SCM_API SCM scm_truncate_number (SCM x);
 265 SCM_API SCM scm_round_number (SCM x);
 266 SCM_API SCM scm_expt (SCM z1, SCM z2);
 267 SCM_API SCM scm_sin (SCM z);
 268 SCM_API SCM scm_cos (SCM z);
 269 SCM_API SCM scm_tan (SCM z);
 270 SCM_API SCM scm_sinh (SCM z);
 271 SCM_API SCM scm_cosh (SCM z);
 272 SCM_API SCM scm_tanh (SCM z);
 273 SCM_API SCM scm_asin (SCM z);
 274 SCM_API SCM scm_acos (SCM z);
 275 SCM_API SCM scm_atan (SCM x, SCM y);
 276 SCM_API SCM scm_sys_asinh (SCM z);
 277 SCM_API SCM scm_sys_acosh (SCM z);
 278 SCM_API SCM scm_sys_atanh (SCM z);
 279 SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
 280 SCM_API SCM scm_make_polar (SCM z1, SCM z2);
 281 SCM_API SCM scm_real_part (SCM z);
 282 SCM_API SCM scm_imag_part (SCM z);
 283 SCM_API SCM scm_magnitude (SCM z);
 284 SCM_API SCM scm_angle (SCM z);
 285 SCM_API SCM scm_exact_to_inexact (SCM z);
 286 SCM_API SCM scm_inexact_to_exact (SCM z);
 287 SCM_API SCM scm_trunc (SCM x);
 288 SCM_API SCM scm_log (SCM z);
 289 SCM_API SCM scm_log10 (SCM z);
 290 SCM_API SCM scm_exp (SCM z);
 291 SCM_API SCM scm_sqrt (SCM z);
 292 SCM_API void scm_exact_integer_sqrt (SCM k, SCM *s, SCM *r);
 293
 294 SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest);
 295 SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest);
 296 SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest);
 297 SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest);
 298 SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest);
 299 SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest);
 300 SCM_INTERNAL SCM scm_i_exact_integer_sqrt (SCM k);
 301
 302 /* bignum internal functions */
 303 SCM_INTERNAL SCM scm_i_mkbig (void);
 304 SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x);
 305 SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
 306 SCM_INTERNAL SCM scm_i_dbl2big (double d);
 307 SCM_INTERNAL SCM scm_i_dbl2num (double d);
 308 SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b);
 309 SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n);
 310 SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n);
 311 SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p);
 312
 313 /* ratio functions */
 314 SCM_API SCM scm_rationalize (SCM x, SCM err);
 315 SCM_API SCM scm_numerator (SCM z);
 316 SCM_API SCM scm_denominator (SCM z);
 317
 318 /* fraction internal functions */
 319 SCM_INTERNAL double scm_i_fraction2double (SCM z);
 320 SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
 321 SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
 322
 323 /* general internal functions */
 324 SCM_INTERNAL void scm_i_print_double (double val, SCM port);
 325 SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
 326
 327 /* conversion functions for integers */
 328
 329 SCM_API int scm_is_integer (SCM val);
 330 SCM_API int scm_is_signed_integer (SCM val,
 331                                    scm_t_intmax min, scm_t_intmax max);
 332 SCM_API int scm_is_unsigned_integer (SCM val,
 333                                      scm_t_uintmax min, scm_t_uintmax max);
 334
 335 SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
 336 SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
 337
 338 SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
 339                                             scm_t_intmax min,
 340                                             scm_t_intmax max);
 341 SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
 342                                                scm_t_uintmax min,
 343                                                scm_t_uintmax max);
 344
 345 SCM_API scm_t_int8   scm_to_int8     (SCM x);
 346 SCM_API SCM          scm_from_int8   (scm_t_int8 x);
 347
 348 SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
 349 SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);
 350
 351 SCM_API scm_t_int16  scm_to_int16    (SCM x);
 352 SCM_API SCM          scm_from_int16  (scm_t_int16 x);
 353
 354 SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
 355 SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);
 356
 357 SCM_API scm_t_int32  scm_to_int32    (SCM x);
 358 SCM_API SCM          scm_from_int32  (scm_t_int32 x);
 359
 360 SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
 361 SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);
 362
 363 SCM_API scm_t_wchar  scm_to_wchar    (SCM x);
 364 SCM_API SCM          scm_from_wchar  (scm_t_wchar x);
 365
 366 SCM_API scm_t_int64  scm_to_int64    (SCM x);
 367 SCM_API SCM          scm_from_int64  (scm_t_int64 x);
 368
 369 SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
 370 SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);
 371
 372 SCM_API void scm_to_mpz (SCM x, mpz_t rop);
 373 SCM_API SCM  scm_from_mpz (mpz_t rop);
 374
 375
 376 /* The conversion functions for other types are aliased to the
 377    appropriate ones from above.  We pick the right one based on the
 378    size of the type.
 379
 380    Not each and every possibility is covered by the code below, and
 381    while it is trivial to complete the tests, it might be better to
 382    just test for the 'sane' possibilities.  When one of the tests
 383    below fails, chances are good that some silent assumption somewhere
 384    else will also fail.
 385 */
 386
 387 #if SCM_SIZEOF_CHAR == 1
 388 #define scm_to_schar   scm_to_int8
 389 #define scm_from_schar scm_from_int8
 390 #define scm_to_uchar   scm_to_uint8
 391 #define scm_from_uchar scm_from_uint8
 392 #if CHAR_MIN == 0
 393 #define scm_to_char    scm_to_uint8
 394 #define scm_from_char  scm_from_uint8
 395 #else
 396 #define scm_to_char    scm_to_int8
 397 #define scm_from_char  scm_from_int8
 398 #endif
 399 #else
 400 #error sizeof(char) is not 1.
 401 #endif
 402
 403 #if SCM_SIZEOF_SHORT == 1
 404 #define scm_to_short    scm_to_int8
 405 #define scm_from_short  scm_from_int8
 406 #define scm_to_ushort   scm_to_uint8
 407 #define scm_from_ushort scm_from_uint8
 408 #else
 409 #if SCM_SIZEOF_SHORT == 2
 410 #define scm_to_short    scm_to_int16
 411 #define scm_from_short  scm_from_int16
 412 #define scm_to_ushort   scm_to_uint16
 413 #define scm_from_ushort scm_from_uint16
 414 #else
 415 #if SCM_SIZEOF_SHORT == 4
 416 #define scm_to_short    scm_to_int32
 417 #define scm_from_short  scm_from_int32
 418 #define scm_to_ushort   scm_to_uint32
 419 #define scm_from_ushort scm_from_uint32
 420 #else
 421 #error sizeof(short) is not 1, 2, or 4.
 422 #endif
 423 #endif
 424 #endif
 425
 426 #if SCM_SIZEOF_INT == 4
 427 #define scm_to_int    scm_to_int32
 428 #define scm_from_int  scm_from_int32
 429 #define scm_to_uint   scm_to_uint32
 430 #define scm_from_uint scm_from_uint32
 431 #else
 432 #if SCM_SIZEOF_INT == 8
 433 #define scm_to_int    scm_to_int64
 434 #define scm_from_int  scm_from_int64
 435 #define scm_to_uint   scm_to_uint64
 436 #define scm_from_uint scm_from_uint64
 437 #else
 438 #error sizeof(int) is not 4 or 8.
 439 #endif
 440 #endif
 441
 442 #if SCM_SIZEOF_LONG == 4
 443 #define scm_to_long    scm_to_int32
 444 #define scm_from_long  scm_from_int32
 445 #define scm_to_ulong   scm_to_uint32
 446 #define scm_from_ulong scm_from_uint32
 447 #else
 448 #if SCM_SIZEOF_LONG == 8
 449 #define scm_to_long    scm_to_int64
 450 #define scm_from_long  scm_from_int64
 451 #define scm_to_ulong   scm_to_uint64
 452 #define scm_from_ulong scm_from_uint64
 453 #else
 454 #error sizeof(long) is not 4 or 8.
 455 #endif
 456 #endif
 457
 458 #if SCM_SIZEOF_INTMAX == 4
 459 #define scm_to_intmax    scm_to_int32
 460 #define scm_from_intmax  scm_from_int32
 461 #define scm_to_uintmax   scm_to_uint32
 462 #define scm_from_uintmax scm_from_uint32
 463 #else
 464 #if SCM_SIZEOF_INTMAX == 8
 465 #define scm_to_intmax    scm_to_int64
 466 #define scm_from_intmax  scm_from_int64
 467 #define scm_to_uintmax   scm_to_uint64
 468 #define scm_from_uintmax scm_from_uint64
 469 #else
 470 #error sizeof(scm_t_intmax) is not 4 or 8.
 471 #endif
 472 #endif
 473
 474 #if SCM_SIZEOF_LONG_LONG == 0
 475 #else
 476 #if SCM_SIZEOF_LONG_LONG == 8
 477 #define scm_to_long_long    scm_to_int64
 478 #define scm_from_long_long  scm_from_int64
 479 #define scm_to_ulong_long   scm_to_uint64
 480 #define scm_from_ulong_long scm_from_uint64
 481 #else
 482 #error sizeof(long long) is not 8.
 483 #endif
 484 #endif
 485
 486 #if SCM_SIZEOF_SIZE_T == 4
 487 #define scm_to_ssize_t    scm_to_int32
 488 #define scm_from_ssize_t  scm_from_int32
 489 #define scm_to_size_t     scm_to_uint32
 490 #define scm_from_size_t   scm_from_uint32
 491 #else
 492 #if SCM_SIZEOF_SIZE_T == 8
 493 #define scm_to_ssize_t    scm_to_int64
 494 #define scm_from_ssize_t  scm_from_int64
 495 #define scm_to_size_t     scm_to_uint64
 496 #define scm_from_size_t   scm_from_uint64
 497 #else
 498 #error sizeof(size_t) is not 4 or 8.
 499 #endif
 500 #endif
 501
 502 /* conversion functions for double */
 503
 504 SCM_API int scm_is_real (SCM val);
 505 SCM_API int scm_is_rational (SCM val);
 506 SCM_API double scm_to_double (SCM val);
 507 SCM_API SCM scm_from_double (double val);
 508
 509 /* conversion functions for complex */
 510
 511 SCM_API int scm_is_complex (SCM val);
 512 SCM_API SCM scm_c_make_rectangular (double re, double im);
 513 SCM_API SCM scm_c_make_polar (double mag, double ang);
 514 SCM_API double scm_c_real_part (SCM z);
 515 SCM_API double scm_c_imag_part (SCM z);
 516 SCM_API double scm_c_magnitude (SCM z);
 517 SCM_API double scm_c_angle (SCM z);
 518
 519 SCM_API int scm_is_number (SCM val);
 520
 521 SCM_INTERNAL void scm_init_numbers (void);
 522
 523 #endif  /* SCM_NUMBERS_H */
 524
 525 /*
 526   Local Variables:
 527   c-file-style: "gnu"
 528   End:
 529 */