numbers.h 19 KB

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  1. /* classes: h_files */
  2. #ifndef SCM_NUMBERS_H
  3. #define SCM_NUMBERS_H
  4. /* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004,2005, 2006,
  5. * 2008, 2009, 2010, 2011, 2013 Free Software Foundation, Inc.
  6. *
  7. * This library is free software; you can redistribute it and/or
  8. * modify it under the terms of the GNU Lesser General Public License
  9. * as published by the Free Software Foundation; either version 3 of
  10. * the License, or (at your option) any later version.
  11. *
  12. * This library is distributed in the hope that it will be useful, but
  13. * WITHOUT ANY WARRANTY; without even the implied warranty of
  14. * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
  15. * Lesser General Public License for more details.
  16. *
  17. * You should have received a copy of the GNU Lesser General Public
  18. * License along with this library; if not, write to the Free Software
  19. * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA
  20. * 02110-1301 USA
  21. */
  22. #include <gmp.h>
  23. #include "libguile/__scm.h"
  24. #include "libguile/print.h"
  25. #ifndef SCM_T_WCHAR_DEFINED
  26. typedef scm_t_int32 scm_t_wchar;
  27. #define SCM_T_WCHAR_DEFINED
  28. #endif /* SCM_T_WCHAR_DEFINED */
  29. /* Immediate Numbers, also known as fixnums
  30. *
  31. * Inums are exact integer data that fits within an SCM word. */
  32. /* SCM_T_SIGNED_MAX is (- (expt 2 n) 1),
  33. * SCM_MOST_POSITIVE_FIXNUM should be (- (expt 2 (- n 2)) 1)
  34. * which is the same as (/ (- (expt 2 n) 4) 4)
  35. */
  36. #define SCM_I_FIXNUM_BIT (SCM_LONG_BIT - 2)
  37. #define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
  38. #define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
  39. /* SCM_SRS is signed right shift */
  40. #if (-1 == (((-1) << 2) + 2) >> 2)
  41. # define SCM_SRS(x, y) ((x) >> (y))
  42. #else
  43. # define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
  44. #endif /* (-1 == (((-1) << 2) + 2) >> 2) */
  45. #define SCM_I_INUMP(x) (2 & SCM_UNPACK (x))
  46. #define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
  47. #define SCM_I_MAKINUM(x) \
  48. (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
  49. #define SCM_I_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
  50. /* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
  51. #define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
  52. #define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
  53. #define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
  54. #define SCM_INUM0 (SCM_I_MAKINUM (0)) /* A name for 0 */
  55. #define SCM_INUM1 (SCM_I_MAKINUM (1)) /* A name for 1 */
  56. /* SCM_MAXEXP is the maximum double precision exponent
  57. * SCM_FLTMAX is less than or scm_equal the largest single precision float
  58. */
  59. #if SCM_HAVE_STDC_HEADERS
  60. # ifndef GO32
  61. # include <float.h>
  62. # ifdef __MINGW32__
  63. # define copysign _copysign
  64. # define finite _finite
  65. # endif /* __MINGW32__ */
  66. # endif /* ndef GO32 */
  67. #endif /* def STDC_HEADERS */
  68. #ifdef DBL_MAX_10_EXP
  69. # define SCM_MAXEXP DBL_MAX_10_EXP
  70. #else
  71. # define SCM_MAXEXP 308 /* IEEE doubles */
  72. #endif /* def DBL_MAX_10_EXP */
  73. #ifdef FLT_MAX
  74. # define SCM_FLTMAX FLT_MAX
  75. #else
  76. # define SCM_FLTMAX 1e+23
  77. #endif /* def FLT_MAX */
  78. /* SCM_INTBUFLEN is the maximum number of characters neccessary for
  79. * the printed or scm_string representation of an scm_t_intmax in
  80. * radix 2. The buffer passed to scm_iint2str and scm_iuint2str must
  81. * be of this size, for example.
  82. */
  83. #define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
  84. /* Numbers
  85. */
  86. /* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
  87. * differ in one bit: This way, checking if an object is an inexact number can
  88. * be done quickly (using the TYP16S macro). */
  89. /* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
  90. * and SCM_NUMP) */
  91. #define scm_tc16_big (scm_tc7_number + 1 * 256L)
  92. #define scm_tc16_real (scm_tc7_number + 2 * 256L)
  93. #define scm_tc16_complex (scm_tc7_number + 3 * 256L)
  94. #define scm_tc16_fraction (scm_tc7_number + 4 * 256L)
  95. #define SCM_INEXACTP(x) \
  96. (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
  97. #define SCM_REALP(x) (SCM_HAS_TYP16 (x, scm_tc16_real))
  98. #define SCM_COMPLEXP(x) (SCM_HAS_TYP16 (x, scm_tc16_complex))
  99. #define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
  100. #define SCM_COMPLEX_REAL(x) (((scm_t_complex *) SCM2PTR (x))->real)
  101. #define SCM_COMPLEX_IMAG(x) (((scm_t_complex *) SCM2PTR (x))->imag)
  102. /* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
  103. #define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
  104. #define SCM_BIGP(x) (SCM_HAS_TYP16 (x, scm_tc16_big))
  105. #define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
  106. #define SCM_NUMP(x) (SCM_HAS_TYP7 (x, scm_tc7_number))
  107. #define SCM_FRACTIONP(x) (SCM_HAS_TYP16 (x, scm_tc16_fraction))
  108. #define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
  109. #define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
  110. typedef struct scm_t_double
  111. {
  112. SCM type;
  113. SCM pad;
  114. double real;
  115. } scm_t_double;
  116. typedef struct scm_t_complex
  117. {
  118. SCM type;
  119. SCM pad;
  120. double real;
  121. double imag;
  122. } scm_t_complex;
  123. SCM_API SCM scm_exact_p (SCM x);
  124. SCM_API int scm_is_exact (SCM x);
  125. SCM_API SCM scm_odd_p (SCM n);
  126. SCM_API SCM scm_even_p (SCM n);
  127. SCM_API SCM scm_finite_p (SCM x);
  128. SCM_API SCM scm_inf_p (SCM x);
  129. SCM_API SCM scm_nan_p (SCM x);
  130. SCM_API SCM scm_inf (void);
  131. SCM_API SCM scm_nan (void);
  132. SCM_API SCM scm_abs (SCM x);
  133. SCM_API SCM scm_quotient (SCM x, SCM y);
  134. SCM_API SCM scm_remainder (SCM x, SCM y);
  135. SCM_API SCM scm_modulo (SCM x, SCM y);
  136. SCM_API void scm_euclidean_divide (SCM x, SCM y, SCM *q, SCM *r);
  137. SCM_API SCM scm_euclidean_quotient (SCM x, SCM y);
  138. SCM_API SCM scm_euclidean_remainder (SCM x, SCM y);
  139. SCM_API void scm_floor_divide (SCM x, SCM y, SCM *q, SCM *r);
  140. SCM_API SCM scm_floor_quotient (SCM x, SCM y);
  141. SCM_API SCM scm_floor_remainder (SCM x, SCM y);
  142. SCM_API void scm_ceiling_divide (SCM x, SCM y, SCM *q, SCM *r);
  143. SCM_API SCM scm_ceiling_quotient (SCM x, SCM y);
  144. SCM_API SCM scm_ceiling_remainder (SCM x, SCM y);
  145. SCM_API void scm_truncate_divide (SCM x, SCM y, SCM *q, SCM *r);
  146. SCM_API SCM scm_truncate_quotient (SCM x, SCM y);
  147. SCM_API SCM scm_truncate_remainder (SCM x, SCM y);
  148. SCM_API void scm_centered_divide (SCM x, SCM y, SCM *q, SCM *r);
  149. SCM_API SCM scm_centered_quotient (SCM x, SCM y);
  150. SCM_API SCM scm_centered_remainder (SCM x, SCM y);
  151. SCM_API void scm_round_divide (SCM x, SCM y, SCM *q, SCM *r);
  152. SCM_API SCM scm_round_quotient (SCM x, SCM y);
  153. SCM_API SCM scm_round_remainder (SCM x, SCM y);
  154. SCM_API SCM scm_gcd (SCM x, SCM y);
  155. SCM_API SCM scm_lcm (SCM n1, SCM n2);
  156. SCM_API SCM scm_logand (SCM n1, SCM n2);
  157. SCM_API SCM scm_logior (SCM n1, SCM n2);
  158. SCM_API SCM scm_logxor (SCM n1, SCM n2);
  159. SCM_API SCM scm_logtest (SCM n1, SCM n2);
  160. SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
  161. SCM_API SCM scm_lognot (SCM n);
  162. SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
  163. SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
  164. SCM_API SCM scm_ash (SCM n, SCM count);
  165. SCM_API SCM scm_round_ash (SCM n, SCM count);
  166. SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
  167. SCM_API SCM scm_logcount (SCM n);
  168. SCM_API SCM scm_integer_length (SCM n);
  169. SCM_INTERNAL SCM scm_i_euclidean_divide (SCM x, SCM y);
  170. SCM_INTERNAL SCM scm_i_floor_divide (SCM x, SCM y);
  171. SCM_INTERNAL SCM scm_i_ceiling_divide (SCM x, SCM y);
  172. SCM_INTERNAL SCM scm_i_truncate_divide (SCM x, SCM y);
  173. SCM_INTERNAL SCM scm_i_centered_divide (SCM x, SCM y);
  174. SCM_INTERNAL SCM scm_i_round_divide (SCM x, SCM y);
  175. SCM_INTERNAL SCM scm_i_gcd (SCM x, SCM y, SCM rest);
  176. SCM_INTERNAL SCM scm_i_lcm (SCM x, SCM y, SCM rest);
  177. SCM_INTERNAL SCM scm_i_logand (SCM x, SCM y, SCM rest);
  178. SCM_INTERNAL SCM scm_i_logior (SCM x, SCM y, SCM rest);
  179. SCM_INTERNAL SCM scm_i_logxor (SCM x, SCM y, SCM rest);
  180. SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
  181. SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
  182. SCM_API SCM scm_number_to_string (SCM x, SCM radix);
  183. SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
  184. SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
  185. SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
  186. SCM_API SCM scm_c_locale_stringn_to_number (const char *mem, size_t len,
  187. unsigned int radix);
  188. SCM_INTERNAL SCM scm_i_string_to_number (SCM str, unsigned int radix);
  189. SCM_API SCM scm_string_to_number (SCM str, SCM radix);
  190. SCM_API SCM scm_bigequal (SCM x, SCM y);
  191. SCM_API SCM scm_real_equalp (SCM x, SCM y);
  192. SCM_API SCM scm_complex_equalp (SCM x, SCM y);
  193. SCM_API SCM scm_number_p (SCM x);
  194. SCM_API SCM scm_complex_p (SCM x);
  195. SCM_API SCM scm_real_p (SCM x);
  196. SCM_API SCM scm_rational_p (SCM z);
  197. SCM_API SCM scm_integer_p (SCM x);
  198. SCM_API SCM scm_inexact_p (SCM x);
  199. SCM_API int scm_is_inexact (SCM x);
  200. SCM_API SCM scm_num_eq_p (SCM x, SCM y);
  201. SCM_API SCM scm_less_p (SCM x, SCM y);
  202. SCM_API SCM scm_gr_p (SCM x, SCM y);
  203. SCM_API SCM scm_leq_p (SCM x, SCM y);
  204. SCM_API SCM scm_geq_p (SCM x, SCM y);
  205. SCM_API SCM scm_zero_p (SCM z);
  206. SCM_API SCM scm_positive_p (SCM x);
  207. SCM_API SCM scm_negative_p (SCM x);
  208. SCM_API SCM scm_max (SCM x, SCM y);
  209. SCM_API SCM scm_min (SCM x, SCM y);
  210. SCM_API SCM scm_sum (SCM x, SCM y);
  211. SCM_API SCM scm_oneplus (SCM x);
  212. SCM_API SCM scm_difference (SCM x, SCM y);
  213. SCM_API SCM scm_oneminus (SCM x);
  214. SCM_API SCM scm_product (SCM x, SCM y);
  215. SCM_API SCM scm_divide (SCM x, SCM y);
  216. SCM_API SCM scm_floor (SCM x);
  217. SCM_API SCM scm_ceiling (SCM x);
  218. SCM_API double scm_c_truncate (double x);
  219. SCM_API double scm_c_round (double x);
  220. SCM_API SCM scm_truncate_number (SCM x);
  221. SCM_API SCM scm_round_number (SCM x);
  222. SCM_API SCM scm_expt (SCM z1, SCM z2);
  223. SCM_API SCM scm_sin (SCM z);
  224. SCM_API SCM scm_cos (SCM z);
  225. SCM_API SCM scm_tan (SCM z);
  226. SCM_API SCM scm_sinh (SCM z);
  227. SCM_API SCM scm_cosh (SCM z);
  228. SCM_API SCM scm_tanh (SCM z);
  229. SCM_API SCM scm_asin (SCM z);
  230. SCM_API SCM scm_acos (SCM z);
  231. SCM_API SCM scm_atan (SCM x, SCM y);
  232. SCM_API SCM scm_sys_asinh (SCM z);
  233. SCM_API SCM scm_sys_acosh (SCM z);
  234. SCM_API SCM scm_sys_atanh (SCM z);
  235. SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
  236. SCM_API SCM scm_make_polar (SCM z1, SCM z2);
  237. SCM_API SCM scm_real_part (SCM z);
  238. SCM_API SCM scm_imag_part (SCM z);
  239. SCM_API SCM scm_magnitude (SCM z);
  240. SCM_API SCM scm_angle (SCM z);
  241. SCM_API SCM scm_exact_to_inexact (SCM z);
  242. SCM_API SCM scm_inexact_to_exact (SCM z);
  243. SCM_API SCM scm_trunc (SCM x);
  244. SCM_API SCM scm_log (SCM z);
  245. SCM_API SCM scm_log10 (SCM z);
  246. SCM_API SCM scm_exp (SCM z);
  247. SCM_API SCM scm_sqrt (SCM z);
  248. SCM_API void scm_exact_integer_sqrt (SCM k, SCM *s, SCM *r);
  249. SCM_INTERNAL SCM scm_i_min (SCM x, SCM y, SCM rest);
  250. SCM_INTERNAL SCM scm_i_max (SCM x, SCM y, SCM rest);
  251. SCM_INTERNAL SCM scm_i_sum (SCM x, SCM y, SCM rest);
  252. SCM_INTERNAL SCM scm_i_difference (SCM x, SCM y, SCM rest);
  253. SCM_INTERNAL SCM scm_i_product (SCM x, SCM y, SCM rest);
  254. SCM_INTERNAL SCM scm_i_divide (SCM x, SCM y, SCM rest);
  255. SCM_INTERNAL SCM scm_i_exact_integer_sqrt (SCM k);
  256. /* bignum internal functions */
  257. SCM_INTERNAL SCM scm_i_mkbig (void);
  258. SCM_API /* FIXME: not internal */ SCM scm_i_normbig (SCM x);
  259. SCM_INTERNAL int scm_i_bigcmp (SCM a, SCM b);
  260. SCM_INTERNAL SCM scm_i_dbl2big (double d);
  261. SCM_INTERNAL SCM scm_i_dbl2num (double d);
  262. SCM_API /* FIXME: not internal */ double scm_i_big2dbl (SCM b);
  263. SCM_API /* FIXME: not internal */ SCM scm_i_long2big (long n);
  264. SCM_API /* FIXME: not internal */ SCM scm_i_ulong2big (unsigned long n);
  265. SCM_API /* FIXME: not internal */ SCM scm_i_clonebig (SCM src_big, int same_sign_p);
  266. /* ratio functions */
  267. SCM_API SCM scm_rationalize (SCM x, SCM err);
  268. SCM_API SCM scm_numerator (SCM z);
  269. SCM_API SCM scm_denominator (SCM z);
  270. /* fraction internal functions */
  271. SCM_INTERNAL double scm_i_fraction2double (SCM z);
  272. SCM_INTERNAL SCM scm_i_fraction_equalp (SCM x, SCM y);
  273. SCM_INTERNAL int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
  274. /* general internal functions */
  275. SCM_INTERNAL void scm_i_print_double (double val, SCM port);
  276. SCM_INTERNAL void scm_i_print_complex (double real, double imag, SCM port);
  277. /* conversion functions for integers */
  278. SCM_API int scm_is_integer (SCM val);
  279. SCM_API int scm_is_signed_integer (SCM val,
  280. scm_t_intmax min, scm_t_intmax max);
  281. SCM_API int scm_is_unsigned_integer (SCM val,
  282. scm_t_uintmax min, scm_t_uintmax max);
  283. SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
  284. SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
  285. SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
  286. scm_t_intmax min,
  287. scm_t_intmax max);
  288. SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
  289. scm_t_uintmax min,
  290. scm_t_uintmax max);
  291. SCM_API scm_t_int8 scm_to_int8 (SCM x);
  292. SCM_API SCM scm_from_int8 (scm_t_int8 x);
  293. SCM_API scm_t_uint8 scm_to_uint8 (SCM x);
  294. SCM_API SCM scm_from_uint8 (scm_t_uint8 x);
  295. SCM_API scm_t_int16 scm_to_int16 (SCM x);
  296. SCM_API SCM scm_from_int16 (scm_t_int16 x);
  297. SCM_API scm_t_uint16 scm_to_uint16 (SCM x);
  298. SCM_API SCM scm_from_uint16 (scm_t_uint16 x);
  299. SCM_API scm_t_int32 scm_to_int32 (SCM x);
  300. SCM_API SCM scm_from_int32 (scm_t_int32 x);
  301. SCM_API scm_t_uint32 scm_to_uint32 (SCM x);
  302. SCM_API SCM scm_from_uint32 (scm_t_uint32 x);
  303. SCM_API scm_t_wchar scm_to_wchar (SCM x);
  304. SCM_API SCM scm_from_wchar (scm_t_wchar x);
  305. SCM_API scm_t_int64 scm_to_int64 (SCM x);
  306. SCM_API SCM scm_from_int64 (scm_t_int64 x);
  307. SCM_API scm_t_uint64 scm_to_uint64 (SCM x);
  308. SCM_API SCM scm_from_uint64 (scm_t_uint64 x);
  309. SCM_API void scm_to_mpz (SCM x, mpz_t rop);
  310. SCM_API SCM scm_from_mpz (mpz_t rop);
  311. /* The conversion functions for other types are aliased to the
  312. appropriate ones from above. We pick the right one based on the
  313. size of the type.
  314. Not each and every possibility is covered by the code below, and
  315. while it is trivial to complete the tests, it might be better to
  316. just test for the 'sane' possibilities. When one of the tests
  317. below fails, chances are good that some silent assumption somewhere
  318. else will also fail.
  319. */
  320. #if SCM_SIZEOF_CHAR == 1
  321. #define scm_to_schar scm_to_int8
  322. #define scm_from_schar scm_from_int8
  323. #define scm_to_uchar scm_to_uint8
  324. #define scm_from_uchar scm_from_uint8
  325. #if CHAR_MIN == 0
  326. #define scm_to_char scm_to_uint8
  327. #define scm_from_char scm_from_uint8
  328. #else
  329. #define scm_to_char scm_to_int8
  330. #define scm_from_char scm_from_int8
  331. #endif
  332. #else
  333. #error sizeof(char) is not 1.
  334. #endif
  335. #if SCM_SIZEOF_SHORT == 1
  336. #define scm_to_short scm_to_int8
  337. #define scm_from_short scm_from_int8
  338. #define scm_to_ushort scm_to_uint8
  339. #define scm_from_ushort scm_from_uint8
  340. #else
  341. #if SCM_SIZEOF_SHORT == 2
  342. #define scm_to_short scm_to_int16
  343. #define scm_from_short scm_from_int16
  344. #define scm_to_ushort scm_to_uint16
  345. #define scm_from_ushort scm_from_uint16
  346. #else
  347. #if SCM_SIZEOF_SHORT == 4
  348. #define scm_to_short scm_to_int32
  349. #define scm_from_short scm_from_int32
  350. #define scm_to_ushort scm_to_uint32
  351. #define scm_from_ushort scm_from_uint32
  352. #else
  353. #error sizeof(short) is not 1, 2, or 4.
  354. #endif
  355. #endif
  356. #endif
  357. #if SCM_SIZEOF_INT == 4
  358. #define scm_to_int scm_to_int32
  359. #define scm_from_int scm_from_int32
  360. #define scm_to_uint scm_to_uint32
  361. #define scm_from_uint scm_from_uint32
  362. #else
  363. #if SCM_SIZEOF_INT == 8
  364. #define scm_to_int scm_to_int64
  365. #define scm_from_int scm_from_int64
  366. #define scm_to_uint scm_to_uint64
  367. #define scm_from_uint scm_from_uint64
  368. #else
  369. #error sizeof(int) is not 4 or 8.
  370. #endif
  371. #endif
  372. #if SCM_SIZEOF_LONG == 4
  373. #define scm_to_long scm_to_int32
  374. #define scm_from_long scm_from_int32
  375. #define scm_to_ulong scm_to_uint32
  376. #define scm_from_ulong scm_from_uint32
  377. #else
  378. #if SCM_SIZEOF_LONG == 8
  379. #define scm_to_long scm_to_int64
  380. #define scm_from_long scm_from_int64
  381. #define scm_to_ulong scm_to_uint64
  382. #define scm_from_ulong scm_from_uint64
  383. #else
  384. #error sizeof(long) is not 4 or 8.
  385. #endif
  386. #endif
  387. #if SCM_SIZEOF_INTMAX == 4
  388. #define scm_to_intmax scm_to_int32
  389. #define scm_from_intmax scm_from_int32
  390. #define scm_to_uintmax scm_to_uint32
  391. #define scm_from_uintmax scm_from_uint32
  392. #else
  393. #if SCM_SIZEOF_INTMAX == 8
  394. #define scm_to_intmax scm_to_int64
  395. #define scm_from_intmax scm_from_int64
  396. #define scm_to_uintmax scm_to_uint64
  397. #define scm_from_uintmax scm_from_uint64
  398. #else
  399. #error sizeof(scm_t_intmax) is not 4 or 8.
  400. #endif
  401. #endif
  402. #if SCM_SIZEOF_LONG_LONG == 0
  403. #else
  404. #if SCM_SIZEOF_LONG_LONG == 8
  405. #define scm_to_long_long scm_to_int64
  406. #define scm_from_long_long scm_from_int64
  407. #define scm_to_ulong_long scm_to_uint64
  408. #define scm_from_ulong_long scm_from_uint64
  409. #else
  410. #error sizeof(long long) is not 8.
  411. #endif
  412. #endif
  413. #if SCM_SIZEOF_SIZE_T == 4
  414. #define scm_to_ssize_t scm_to_int32
  415. #define scm_from_ssize_t scm_from_int32
  416. #define scm_to_size_t scm_to_uint32
  417. #define scm_from_size_t scm_from_uint32
  418. #else
  419. #if SCM_SIZEOF_SIZE_T == 8
  420. #define scm_to_ssize_t scm_to_int64
  421. #define scm_from_ssize_t scm_from_int64
  422. #define scm_to_size_t scm_to_uint64
  423. #define scm_from_size_t scm_from_uint64
  424. #else
  425. #error sizeof(size_t) is not 4 or 8.
  426. #endif
  427. #endif
  428. #if SCM_SIZEOF_SCM_T_PTRDIFF == 4
  429. #define scm_to_ptrdiff_t scm_to_int32
  430. #define scm_from_ptrdiff_t scm_from_int32
  431. #else
  432. #if SCM_SIZEOF_SCM_T_PTRDIFF == 8
  433. #define scm_to_ptrdiff_t scm_to_int64
  434. #define scm_from_ptrdiff_t scm_from_int64
  435. #else
  436. #error sizeof(scm_t_ptrdiff) is not 4 or 8.
  437. #endif
  438. #endif
  439. #if SCM_SIZEOF_INTPTR_T == 0
  440. /* No intptr_t; use size_t functions. */
  441. #define scm_to_intptr_t scm_to_ssize_t
  442. #define scm_from_intptr_t scm_from_ssize_t
  443. #elif SCM_SIZEOF_INTPTR_T == 4
  444. #define scm_to_intptr_t scm_to_int32
  445. #define scm_from_intptr_t scm_from_int32
  446. #elif SCM_SIZEOF_INTPTR_T == 8
  447. #define scm_to_intptr_t scm_to_int64
  448. #define scm_from_intptr_t scm_from_int64
  449. #else
  450. #error sizeof(intptr_t) is not 4 or 8.
  451. #endif
  452. #if SCM_SIZEOF_UINTPTR_T == 0
  453. /* No uintptr_t; use size_t functions. */
  454. #define scm_to_uintptr_t scm_to_size_t
  455. #define scm_from_uintptr_t scm_from_size_t
  456. #elif SCM_SIZEOF_UINTPTR_T == 4
  457. #define scm_to_uintptr_t scm_to_uint32
  458. #define scm_from_uintptr_t scm_from_uint32
  459. #elif SCM_SIZEOF_UINTPTR_T == 8
  460. #define scm_to_uintptr_t scm_to_uint64
  461. #define scm_from_uintptr_t scm_from_uint64
  462. #else
  463. #error sizeof(uintptr_t) is not 4 or 8.
  464. #endif
  465. /* conversion functions for double */
  466. SCM_API int scm_is_real (SCM val);
  467. SCM_API int scm_is_rational (SCM val);
  468. SCM_API double scm_to_double (SCM val);
  469. SCM_API SCM scm_from_double (double val);
  470. /* conversion functions for complex */
  471. SCM_API int scm_is_complex (SCM val);
  472. SCM_API SCM scm_c_make_rectangular (double re, double im);
  473. SCM_API SCM scm_c_make_polar (double mag, double ang);
  474. SCM_API double scm_c_real_part (SCM z);
  475. SCM_API double scm_c_imag_part (SCM z);
  476. SCM_API double scm_c_magnitude (SCM z);
  477. SCM_API double scm_c_angle (SCM z);
  478. SCM_API int scm_is_number (SCM val);
  479. /* If nonzero, tell gmp to use GC_malloc for its allocations. */
  480. SCM_API int scm_install_gmp_memory_functions;
  481. SCM_INTERNAL void scm_init_numbers (void);
  482. #endif /* SCM_NUMBERS_H */
  483. /*
  484. Local Variables:
  485. c-file-style: "gnu"
  486. End:
  487. */