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