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_inf_p (SCM n);
 173 SCM_API SCM scm_nan_p (SCM n);
 174 SCM_API SCM scm_inf (void);
 175 SCM_API SCM scm_nan (void);
 176 SCM_API SCM scm_abs (SCM x);
 177 SCM_API SCM scm_quotient (SCM x, SCM y);
 178 SCM_API SCM scm_remainder (SCM x, SCM y);
 179 SCM_API SCM scm_modulo (SCM x, SCM y);
 180 SCM_API SCM scm_gcd (SCM x, SCM y);
 181 SCM_API SCM scm_lcm (SCM n1, SCM n2);
 182 SCM_API SCM scm_logand (SCM n1, SCM n2);
 183 SCM_API SCM scm_logior (SCM n1, SCM n2);
 184 SCM_API SCM scm_logxor (SCM n1, SCM n2);
 185 SCM_API SCM scm_logtest (SCM n1, SCM n2);
 186 SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
 187 SCM_API SCM scm_lognot (SCM n);
 188 SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
 189 SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
 190 SCM_API SCM scm_ash (SCM n, SCM cnt);
 191 SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
 192 SCM_API SCM scm_logcount (SCM n);
 193 SCM_API SCM scm_integer_length (SCM n);
 194
 195 SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest);
 196 SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest);
 197 SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest);
 198 SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest);
 199 SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest);
 200
 201 SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
 202 SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
 203 SCM_API SCM scm_number_to_string (SCM x, SCM radix);
 204 SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
 205 SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
 206 SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
 207 SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
 208                                             unsigned int radix);
 209 SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix);
 210 SCM_API SCM scm_string_to_number (SCM str, SCM radix);
 211 SCM_API SCM scm_bigequal (SCM x, SCM y);
 212 SCM_API SCM scm_real_equalp (SCM x, SCM y);
 213 SCM_API SCM scm_complex_equalp (SCM x, SCM y);
 214 SCM_API SCM scm_number_p (SCM x);
 215 SCM_API SCM scm_complex_p (SCM x);
 216 SCM_API SCM scm_real_p (SCM x);
 217 SCM_API SCM scm_rational_p (SCM z);
 218 SCM_API SCM scm_integer_p (SCM x);
 219 SCM_API SCM scm_inexact_p (SCM x);
 220 SCM_API SCM scm_num_eq_p (SCM x, SCM y);
 221 SCM_API SCM scm_less_p (SCM x, SCM y);
 222 SCM_API SCM scm_gr_p (SCM x, SCM y);
 223 SCM_API SCM scm_leq_p (SCM x, SCM y);
 224 SCM_API SCM scm_geq_p (SCM x, SCM y);
 225 SCM_API SCM scm_zero_p (SCM z);
 226 SCM_API SCM scm_positive_p (SCM x);
 227 SCM_API SCM scm_negative_p (SCM x);
 228 SCM_API SCM scm_max (SCM x, SCM y);
 229 SCM_API SCM scm_min (SCM x, SCM y);
 230 SCM_API SCM scm_sum (SCM x, SCM y);
 231 SCM_API SCM scm_oneplus (SCM x);
 232 SCM_API SCM scm_difference (SCM x, SCM y);
 233 SCM_API SCM scm_oneminus (SCM x);
 234 SCM_API SCM scm_product (SCM x, SCM y);
 235 SCM_API SCM scm_divide (SCM x, SCM y);
 236 SCM_API SCM scm_floor (SCM x);
 237 SCM_API SCM scm_ceiling (SCM x);
 238 SCM_API double scm_c_truncate (double x);
 239 SCM_API double scm_c_round (double x);
 240 SCM_API SCM scm_truncate_number (SCM x);
 241 SCM_API SCM scm_round_number (SCM x);
 242 SCM_API SCM scm_expt (SCM z1, SCM z2);
 243 SCM_API SCM scm_sin (SCM z);
 244 SCM_API SCM scm_cos (SCM z);
 245 SCM_API SCM scm_tan (SCM z);
 246 SCM_API SCM scm_sinh (SCM z);
 247 SCM_API SCM scm_cosh (SCM z);
 248 SCM_API SCM scm_tanh (SCM z);
 249 SCM_API SCM scm_asin (SCM z);
 250 SCM_API SCM scm_acos (SCM z);
 251 SCM_API SCM scm_atan (SCM x, SCM y);
 252 SCM_API SCM scm_sys_asinh (SCM z);
 253 SCM_API SCM scm_sys_acosh (SCM z);
 254 SCM_API SCM scm_sys_atanh (SCM z);
 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 SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest);
 270 SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest);
 271 SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest);
 272 SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest);
 273 SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest);
 274 SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest);
 275
 276 /* bignum internal functions */
 277 SCM_INTERNAL SCM scm_i_mkbig (void);
 278 SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x);
 279 SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
 280 SCM_INTERNAL SCM scm_i_dbl2big (double d);
 281 SCM_INTERNAL SCM scm_i_dbl2num (double d);
 282 SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b);
 283 SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n);
 284 SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n);
 285 SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p);
 286
 287 /* ratio functions */
 288 SCM_API SCM scm_rationalize (SCM x, SCM err);
 289 SCM_API SCM scm_numerator (SCM z);
 290 SCM_API SCM scm_denominator (SCM z);
 291
 292 /* fraction internal functions */
 293 SCM_INTERNAL double scm_i_fraction2double (SCM z);
 294 SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
 295 SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
 296
 297 /* general internal functions */
 298 SCM_INTERNAL void scm_i_print_double (double val, SCM port);
 299 SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
 300
 301 /* conversion functions for integers */
 302
 303 SCM_API int scm_is_integer (SCM val);
 304 SCM_API int scm_is_signed_integer (SCM val,
 305                                    scm_t_intmax min, scm_t_intmax max);
 306 SCM_API int scm_is_unsigned_integer (SCM val,
 307                                      scm_t_uintmax min, scm_t_uintmax max);
 308
 309 SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
 310 SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
 311
 312 SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
 313                                             scm_t_intmax min,
 314                                             scm_t_intmax max);
 315 SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
 316                                                scm_t_uintmax min,
 317                                                scm_t_uintmax max);
 318
 319 SCM_API scm_t_int8   scm_to_int8     (SCM x);
 320 SCM_API SCM          scm_from_int8   (scm_t_int8 x);
 321
 322 SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
 323 SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);
 324
 325 SCM_API scm_t_int16  scm_to_int16    (SCM x);
 326 SCM_API SCM          scm_from_int16  (scm_t_int16 x);
 327
 328 SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
 329 SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);
 330
 331 SCM_API scm_t_int32  scm_to_int32    (SCM x);
 332 SCM_API SCM          scm_from_int32  (scm_t_int32 x);
 333
 334 SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
 335 SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);
 336
 337 SCM_API scm_t_wchar  scm_to_wchar    (SCM x);
 338 SCM_API SCM          scm_from_wchar  (scm_t_wchar x);
 339
 340 SCM_API scm_t_int64  scm_to_int64    (SCM x);
 341 SCM_API SCM          scm_from_int64  (scm_t_int64 x);
 342
 343 SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
 344 SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);
 345
 346 SCM_API void scm_to_mpz (SCM x, mpz_t rop);
 347 SCM_API SCM  scm_from_mpz (mpz_t rop);
 348
 349
 350 /* The conversion functions for other types are aliased to the
 351    appropriate ones from above.  We pick the right one based on the
 352    size of the type.
 353
 354    Not each and every possibility is covered by the code below, and
 355    while it is trivial to complete the tests, it might be better to
 356    just test for the 'sane' possibilities.  When one of the tests
 357    below fails, chances are good that some silent assumption somewhere
 358    else will also fail.
 359 */
 360
 361 #if SCM_SIZEOF_CHAR == 1
 362 #define scm_to_schar   scm_to_int8
 363 #define scm_from_schar scm_from_int8
 364 #define scm_to_uchar   scm_to_uint8
 365 #define scm_from_uchar scm_from_uint8
 366 #if CHAR_MIN == 0
 367 #define scm_to_char    scm_to_uint8
 368 #define scm_from_char  scm_from_uint8
 369 #else
 370 #define scm_to_char    scm_to_int8
 371 #define scm_from_char  scm_from_int8
 372 #endif
 373 #else
 374 #error sizeof(char) is not 1.
 375 #endif
 376
 377 #if SCM_SIZEOF_SHORT == 1
 378 #define scm_to_short    scm_to_int8
 379 #define scm_from_short  scm_from_int8
 380 #define scm_to_ushort   scm_to_uint8
 381 #define scm_from_ushort scm_from_uint8
 382 #else
 383 #if SCM_SIZEOF_SHORT == 2
 384 #define scm_to_short    scm_to_int16
 385 #define scm_from_short  scm_from_int16
 386 #define scm_to_ushort   scm_to_uint16
 387 #define scm_from_ushort scm_from_uint16
 388 #else
 389 #if SCM_SIZEOF_SHORT == 4
 390 #define scm_to_short    scm_to_int32
 391 #define scm_from_short  scm_from_int32
 392 #define scm_to_ushort   scm_to_uint32
 393 #define scm_from_ushort scm_from_uint32
 394 #else
 395 #error sizeof(short) is not 1, 2, or 4.
 396 #endif
 397 #endif
 398 #endif
 399
 400 #if SCM_SIZEOF_INT == 4
 401 #define scm_to_int    scm_to_int32
 402 #define scm_from_int  scm_from_int32
 403 #define scm_to_uint   scm_to_uint32
 404 #define scm_from_uint scm_from_uint32
 405 #else
 406 #if SCM_SIZEOF_INT == 8
 407 #define scm_to_int    scm_to_int64
 408 #define scm_from_int  scm_from_int64
 409 #define scm_to_uint   scm_to_uint64
 410 #define scm_from_uint scm_from_uint64
 411 #else
 412 #error sizeof(int) is not 4 or 8.
 413 #endif
 414 #endif
 415
 416 #if SCM_SIZEOF_LONG == 4
 417 #define scm_to_long    scm_to_int32
 418 #define scm_from_long  scm_from_int32
 419 #define scm_to_ulong   scm_to_uint32
 420 #define scm_from_ulong scm_from_uint32
 421 #else
 422 #if SCM_SIZEOF_LONG == 8
 423 #define scm_to_long    scm_to_int64
 424 #define scm_from_long  scm_from_int64
 425 #define scm_to_ulong   scm_to_uint64
 426 #define scm_from_ulong scm_from_uint64
 427 #else
 428 #error sizeof(long) is not 4 or 8.
 429 #endif
 430 #endif
 431
 432 #if SCM_SIZEOF_INTMAX == 4
 433 #define scm_to_intmax    scm_to_int32
 434 #define scm_from_intmax  scm_from_int32
 435 #define scm_to_uintmax   scm_to_uint32
 436 #define scm_from_uintmax scm_from_uint32
 437 #else
 438 #if SCM_SIZEOF_INTMAX == 8
 439 #define scm_to_intmax    scm_to_int64
 440 #define scm_from_intmax  scm_from_int64
 441 #define scm_to_uintmax   scm_to_uint64
 442 #define scm_from_uintmax scm_from_uint64
 443 #else
 444 #error sizeof(scm_t_intmax) is not 4 or 8.
 445 #endif
 446 #endif
 447
 448 #if SCM_SIZEOF_LONG_LONG == 0
 449 #else
 450 #if SCM_SIZEOF_LONG_LONG == 8
 451 #define scm_to_long_long    scm_to_int64
 452 #define scm_from_long_long  scm_from_int64
 453 #define scm_to_ulong_long   scm_to_uint64
 454 #define scm_from_ulong_long scm_from_uint64
 455 #else
 456 #error sizeof(long long) is not 8.
 457 #endif
 458 #endif
 459
 460 #if SCM_SIZEOF_SIZE_T == 4
 461 #define scm_to_ssize_t    scm_to_int32
 462 #define scm_from_ssize_t  scm_from_int32
 463 #define scm_to_size_t     scm_to_uint32
 464 #define scm_from_size_t   scm_from_uint32
 465 #else
 466 #if SCM_SIZEOF_SIZE_T == 8
 467 #define scm_to_ssize_t    scm_to_int64
 468 #define scm_from_ssize_t  scm_from_int64
 469 #define scm_to_size_t     scm_to_uint64
 470 #define scm_from_size_t   scm_from_uint64
 471 #else
 472 #error sizeof(size_t) is not 4 or 8.
 473 #endif
 474 #endif
 475
 476 /* conversion functions for double */
 477
 478 SCM_API int scm_is_real (SCM val);
 479 SCM_API int scm_is_rational (SCM val);
 480 SCM_API double scm_to_double (SCM val);
 481 SCM_API SCM scm_from_double (double val);
 482
 483 /* conversion functions for complex */
 484
 485 SCM_API int scm_is_complex (SCM val);
 486 SCM_API SCM scm_c_make_rectangular (double re, double im);
 487 SCM_API SCM scm_c_make_polar (double mag, double ang);
 488 SCM_API double scm_c_real_part (SCM z);
 489 SCM_API double scm_c_imag_part (SCM z);
 490 SCM_API double scm_c_magnitude (SCM z);
 491 SCM_API double scm_c_angle (SCM z);
 492
 493 SCM_API int scm_is_number (SCM val);
 494
 495 SCM_INTERNAL void scm_init_numbers (void);
 496
 497 #endif  /* SCM_NUMBERS_H */
 498
 499 /*
 500   Local Variables:
 501   c-file-style: "gnu"
 502   End:
 503 */