[bpt/guile.git] / libguile / numbers.h

/* classes: h_files */

#ifndef SCM_NUMBERS_H
#define SCM_NUMBERS_H

/* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004,2005 Free Software Foundation, Inc.
 *
 * This library is free software; you can redistribute it and/or
 * modify it under the terms of the GNU Lesser General Public
 * License as published by the Free Software Foundation; either
 * version 2.1 of the License, or (at your option) any later version.
 *
 * This library is distributed in the hope that it will be useful,
 * but WITHOUT ANY WARRANTY; without even the implied warranty of
 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the GNU
 * Lesser General Public License for more details.
 *
 * You should have received a copy of the GNU Lesser General Public
 * License along with this library; if not, write to the Free Software
 * Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
 */

\f

#include <gmp.h>

#include "libguile/__scm.h"
#include "libguile/print.h"

#if SCM_HAVE_FLOATINGPOINT_H
# include <floatingpoint.h>
#endif

#if SCM_HAVE_IEEEFP_H
# include <ieeefp.h>
#endif

#if SCM_HAVE_NAN_H
# if defined (SCO)
#   define _IEEE 1
# endif
# include <nan.h>
# if defined (SCO)
#   undef _IEEE
# endif
#endif /* SCM_HAVE_NAN_H */

\f

/* Immediate Numbers, also known as fixnums
 *
 * Inums are exact integer data that fits within an SCM word.  */

/* SCM_T_SIGNED_MAX is                 (- (expt 2 n) 1),
 * SCM_MOST_POSITIVE_FIXNUM should be  (- (expt 2 (- n 2)) 1)
 * which is the same as                (/ (- (expt 2 n) 4) 4)
 */

#define SCM_I_FIXNUM_BIT         (SCM_LONG_BIT - 2)
#define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
#define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)

/* SCM_SRS is signed right shift */
#if (-1 == (((-1) << 2) + 2) >> 2)
# define SCM_SRS(x, y) ((x) >> (y))
#else
# define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
#endif /* (-1 == (((-1) << 2) + 2) >> 2) */


#define SCM_I_INUMP(x)	(2 & SCM_UNPACK (x))
#define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
#define SCM_I_MAKINUM(x) \
  (SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
#define SCM_I_INUM(x)   (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))

/* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
#define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))


/* A name for 0. */
#define SCM_INUM0 (SCM_I_MAKINUM (0))

/* SCM_MAXEXP is the maximum double precision exponent
 * SCM_FLTMAX is less than or scm_equal the largest single precision float
 */

#if SCM_HAVE_STDC_HEADERS
# ifndef GO32
#  include <float.h>
#  ifdef __MINGW32__
#   define copysign _copysign
#   define finite _finite
#  endif /* __MINGW32__ */
# endif /* ndef GO32 */
#endif /* def STDC_HEADERS */

#ifdef DBL_MAX_10_EXP
# define SCM_MAXEXP DBL_MAX_10_EXP
#else
# define SCM_MAXEXP 308		/* IEEE doubles */
#endif /* def DBL_MAX_10_EXP */

#ifdef FLT_MAX
# define SCM_FLTMAX FLT_MAX
#else
# define SCM_FLTMAX 1e+23
#endif /* def FLT_MAX */


/* SCM_INTBUFLEN is the maximum number of characters neccessary for
 * the printed or scm_string representation of an scm_t_intmax in
 * radix 2.  The buffer passed to scm_iint2str and scm_iuint2str must
 * be of this size, for example.
 */
#define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))

\f

/* Numbers 
 */


/* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
 * differ in one bit: This way, checking if an object is an inexact number can
 * be done quickly (using the TYP16S macro).  */

/* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
 * and SCM_NUMP)  */
#define scm_tc16_big		(scm_tc7_number + 1 * 256L)
#define scm_tc16_real           (scm_tc7_number + 2 * 256L)
#define scm_tc16_complex        (scm_tc7_number + 3 * 256L)
#define scm_tc16_fraction       (scm_tc7_number + 4 * 256L)

#define SCM_INEXACTP(x) \
  (!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
#define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
#define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)

#define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
#define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
#define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
#define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)

/* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
#define SCM_I_BIG_MPZ(x) (*((mpz_t *) (SCM_CELL_OBJECT_LOC((x),1))))
#define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)

#define SCM_NUMBERP(x) (SCM_I_INUMP(x) || SCM_NUMP(x))
#define SCM_NUMP(x) (!SCM_IMP(x) \
  && (((0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number) \
      || ((0xfbff & SCM_CELL_TYPE (x)) == scm_tc7_number)))
/* 0xfcff (#b1100) for 0 free, 1 big, 2 real, 3 complex, then 0xfbff (#b1011) for 4 fraction */

#define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
#define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
#define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
#define SCM_FRACTION_SET_NUMERATOR(x, v) (SCM_SET_CELL_OBJECT_1 ((x), (v)))
#define SCM_FRACTION_SET_DENOMINATOR(x, v) (SCM_SET_CELL_OBJECT_2 ((x), (v)))

  /* I think the left half word is free in the type, so I'll use bit 17 */
#define SCM_FRACTION_REDUCED_BIT 0x10000
#define SCM_FRACTION_REDUCED_SET(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) | SCM_FRACTION_REDUCED_BIT)))
#define SCM_FRACTION_REDUCED_CLEAR(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) & ~SCM_FRACTION_REDUCED_BIT)))
#define SCM_FRACTION_REDUCED(x)     (0x10000 & SCM_CELL_TYPE (x))

\f

typedef struct scm_t_double
{
  SCM type;
  SCM pad;
  double real;
} scm_t_double;

typedef struct scm_t_complex
{
  double real;
  double imag;
} scm_t_complex;

\f

SCM_API SCM scm_exact_p (SCM x);
SCM_API SCM scm_odd_p (SCM n);
SCM_API SCM scm_even_p (SCM n);
SCM_API SCM scm_inf_p (SCM n);
SCM_API SCM scm_nan_p (SCM n);
SCM_API SCM scm_inf (void);
SCM_API SCM scm_nan (void);
SCM_API SCM scm_abs (SCM x);
SCM_API SCM scm_quotient (SCM x, SCM y);
SCM_API SCM scm_remainder (SCM x, SCM y);
SCM_API SCM scm_modulo (SCM x, SCM y);
SCM_API SCM scm_gcd (SCM x, SCM y);
SCM_API SCM scm_lcm (SCM n1, SCM n2);
SCM_API SCM scm_logand (SCM n1, SCM n2);
SCM_API SCM scm_logior (SCM n1, SCM n2);
SCM_API SCM scm_logxor (SCM n1, SCM n2);
SCM_API SCM scm_logtest (SCM n1, SCM n2);
SCM_API SCM scm_logbit_p (SCM n1, SCM n2);
SCM_API SCM scm_lognot (SCM n);
SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
SCM_API SCM scm_integer_expt (SCM z1, SCM z2);
SCM_API SCM scm_ash (SCM n, SCM cnt);
SCM_API SCM scm_bit_extract (SCM n, SCM start, SCM end);
SCM_API SCM scm_logcount (SCM n);
SCM_API SCM scm_integer_length (SCM n);

SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
SCM_API SCM scm_number_to_string (SCM x, SCM radix);
SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
SCM_API SCM scm_i_mem2number (const char *mem, size_t len, unsigned int radix);
SCM_API SCM scm_string_to_number (SCM str, SCM radix);
SCM_API SCM scm_bigequal (SCM x, SCM y);
SCM_API SCM scm_real_equalp (SCM x, SCM y);
SCM_API SCM scm_complex_equalp (SCM x, SCM y);
SCM_API SCM scm_number_p (SCM x);
SCM_API SCM scm_complex_p (SCM x);
SCM_API SCM scm_real_p (SCM x);
SCM_API SCM scm_rational_p (SCM z);
SCM_API SCM scm_integer_p (SCM x);
SCM_API SCM scm_inexact_p (SCM x);
SCM_API SCM scm_num_eq_p (SCM x, SCM y);
SCM_API SCM scm_less_p (SCM x, SCM y);
SCM_API SCM scm_gr_p (SCM x, SCM y);
SCM_API SCM scm_leq_p (SCM x, SCM y);
SCM_API SCM scm_geq_p (SCM x, SCM y);
SCM_API SCM scm_zero_p (SCM z);
SCM_API SCM scm_positive_p (SCM x);
SCM_API SCM scm_negative_p (SCM x);
SCM_API SCM scm_max (SCM x, SCM y);
SCM_API SCM scm_min (SCM x, SCM y);
SCM_API SCM scm_sum (SCM x, SCM y);
SCM_API SCM scm_oneplus (SCM x);
SCM_API SCM scm_difference (SCM x, SCM y);
SCM_API SCM scm_oneminus (SCM x);
SCM_API SCM scm_product (SCM x, SCM y);
SCM_API SCM scm_divide (SCM x, SCM y);
SCM_API SCM scm_floor (SCM x);
SCM_API SCM scm_ceiling (SCM x);
SCM_API double scm_asinh (double x);
SCM_API double scm_acosh (double x);
SCM_API double scm_atanh (double x);
SCM_API double scm_c_truncate (double x);
SCM_API double scm_c_round (double x);
SCM_API SCM scm_truncate_number (SCM x);
SCM_API SCM scm_round_number (SCM x);
SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
SCM_API SCM scm_make_polar (SCM z1, SCM z2);
SCM_API SCM scm_real_part (SCM z);
SCM_API SCM scm_imag_part (SCM z);
SCM_API SCM scm_magnitude (SCM z);
SCM_API SCM scm_angle (SCM z);
SCM_API SCM scm_exact_to_inexact (SCM z);
SCM_API SCM scm_inexact_to_exact (SCM z);
SCM_API SCM scm_trunc (SCM x);

/* bignum internal functions */
SCM_API SCM scm_i_mkbig (void);
SCM_API SCM scm_i_normbig (SCM x);
SCM_API int scm_i_bigcmp (SCM a, SCM b);
SCM_API SCM scm_i_dbl2big (double d);
SCM_API SCM scm_i_dbl2num (double d);
SCM_API double scm_i_big2dbl (SCM b);
SCM_API SCM scm_i_long2big (long n);
SCM_API SCM scm_i_ulong2big (unsigned long n);
SCM_API SCM scm_i_clonebig (SCM src_big, int same_sign_p);

/* ratio functions */
SCM_API SCM scm_rationalize (SCM x, SCM err);
SCM_API SCM scm_numerator (SCM z);
SCM_API SCM scm_denominator (SCM z);

/* fraction internal functions */
SCM_API double scm_i_fraction2double (SCM z);
SCM_API SCM scm_i_fraction_equalp (SCM x, SCM y);
SCM_API int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);

/* general internal functions */
SCM_API void scm_i_print_double (double val, SCM port);
SCM_API void scm_i_print_complex (double real, double imag, SCM port);

/* conversion functions for integers */

SCM_API int scm_is_integer (SCM val);
SCM_API int scm_is_signed_integer (SCM val,
				   scm_t_intmax min, scm_t_intmax max);
SCM_API int scm_is_unsigned_integer (SCM val,
				     scm_t_uintmax min, scm_t_uintmax max);

SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);

SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
					    scm_t_intmax min,
					    scm_t_intmax max);
SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
					       scm_t_uintmax min,
					       scm_t_uintmax max);

SCM_API scm_t_int8   scm_to_int8     (SCM x);
SCM_API SCM          scm_from_int8   (scm_t_int8 x);

SCM_API scm_t_uint8  scm_to_uint8    (SCM x);
SCM_API SCM          scm_from_uint8  (scm_t_uint8 x);

SCM_API scm_t_int16  scm_to_int16    (SCM x);
SCM_API SCM          scm_from_int16  (scm_t_int16 x);

SCM_API scm_t_uint16 scm_to_uint16   (SCM x);
SCM_API SCM          scm_from_uint16 (scm_t_uint16 x);

SCM_API scm_t_int32  scm_to_int32    (SCM x);
SCM_API SCM          scm_from_int32  (scm_t_int32 x);

SCM_API scm_t_uint32 scm_to_uint32   (SCM x);
SCM_API SCM          scm_from_uint32 (scm_t_uint32 x);

#if SCM_HAVE_T_INT64

SCM_API scm_t_int64  scm_to_int64    (SCM x);
SCM_API SCM          scm_from_int64  (scm_t_int64 x);

SCM_API scm_t_uint64 scm_to_uint64   (SCM x);
SCM_API SCM          scm_from_uint64 (scm_t_uint64 x);

#endif

SCM_API void scm_to_mpz (SCM x, mpz_t rop);
SCM_API SCM  scm_from_mpz (mpz_t rop);


/* The conversion functions for other types are aliased to the
   appropriate ones from above.  We pick the right one based on the
   size of the type.

   Not each and every possibility is covered by the code below, and
   while it is trivial to complete the tests, it might be better to
   just test for the 'sane' possibilities.  When one of the tests
   below fails, chances are good that some silent assumption somewhere
   else will also fail.
*/

#if SCM_SIZEOF_CHAR == 1
#define scm_to_schar   scm_to_int8
#define scm_from_schar scm_from_int8
#define scm_to_uchar   scm_to_uint8
#define scm_from_uchar scm_from_uint8
#if CHAR_MIN == 0
#define scm_to_char    scm_to_uint8
#define scm_from_char  scm_from_uint8
#else
#define scm_to_char    scm_to_int8
#define scm_from_char  scm_from_int8
#endif
#else
#error sizeof(char) is not 1.
#endif

#if SCM_SIZEOF_SHORT == 1
#define scm_to_short    scm_to_int8
#define scm_from_short  scm_from_int8
#define scm_to_ushort   scm_to_uint8
#define scm_from_ushort scm_from_uint8
#else
#if SCM_SIZEOF_SHORT == 2
#define scm_to_short    scm_to_int16
#define scm_from_short  scm_from_int16
#define scm_to_ushort   scm_to_uint16
#define scm_from_ushort scm_from_uint16
#else
#if SCM_SIZEOF_SHORT == 4
#define scm_to_short    scm_to_int32
#define scm_from_short  scm_from_int32
#define scm_to_ushort   scm_to_uint32
#define scm_from_ushort scm_from_uint32
#else
#error sizeof(short) is not 1, 2, or 4.
#endif
#endif
#endif

#if SCM_SIZEOF_INT == 4
#define scm_to_int    scm_to_int32
#define scm_from_int  scm_from_int32
#define scm_to_uint   scm_to_uint32
#define scm_from_uint scm_from_uint32
#else
#if SCM_SIZEOF_INT == 8
#define scm_to_int    scm_to_int64
#define scm_from_int  scm_from_int64
#define scm_to_uint   scm_to_uint64
#define scm_from_uint scm_from_uint64
#else
#error sizeof(int) is not 4 or 8.
#endif
#endif

#if SCM_SIZEOF_LONG == 4
#define scm_to_long    scm_to_int32
#define scm_from_long  scm_from_int32
#define scm_to_ulong   scm_to_uint32
#define scm_from_ulong scm_from_uint32
#else
#if SCM_SIZEOF_LONG == 8
#define scm_to_long    scm_to_int64
#define scm_from_long  scm_from_int64
#define scm_to_ulong   scm_to_uint64
#define scm_from_ulong scm_from_uint64
#else
#error sizeof(long) is not 4 or 8.
#endif
#endif

#if SCM_SIZEOF_INTMAX == 4
#define scm_to_intmax    scm_to_int32
#define scm_from_intmax  scm_from_int32
#define scm_to_uintmax   scm_to_uint32
#define scm_from_uintmax scm_from_uint32
#else
#if SCM_SIZEOF_INTMAX == 8
#define scm_to_intmax    scm_to_int64
#define scm_from_intmax  scm_from_int64
#define scm_to_uintmax   scm_to_uint64
#define scm_from_uintmax scm_from_uint64
#else
#error sizeof(scm_t_intmax) is not 4 or 8.
#endif
#endif

#if SCM_SIZEOF_LONG_LONG == 0
#else
#if SCM_SIZEOF_LONG_LONG == 8
#define scm_to_long_long    scm_to_int64
#define scm_from_long_long  scm_from_int64
#define scm_to_ulong_long   scm_to_uint64
#define scm_from_ulong_long scm_from_uint64
#else
#error sizeof(long long) is not 8.
#endif
#endif

#if SCM_SIZEOF_SIZE_T == 4
#define scm_to_ssize_t    scm_to_int32
#define scm_from_ssize_t  scm_from_int32
#define scm_to_size_t     scm_to_uint32
#define scm_from_size_t   scm_from_uint32
#else
#if SCM_SIZEOF_SIZE_T == 8
#define scm_to_ssize_t    scm_to_int64
#define scm_from_ssize_t  scm_from_int64
#define scm_to_size_t     scm_to_uint64
#define scm_from_size_t   scm_from_uint64
#else
#error sizeof(size_t) is not 4 or 8.
#endif
#endif

/* conversion functions for double */

SCM_API int scm_is_real (SCM val);
SCM_API int scm_is_rational (SCM val);
SCM_API double scm_to_double (SCM val);
SCM_API SCM scm_from_double (double val);

/* conversion functions for complex */

SCM_API int scm_is_complex (SCM val);
SCM_API SCM scm_c_make_rectangular (double re, double im);
SCM_API SCM scm_c_make_polar (double mag, double ang);
SCM_API double scm_c_real_part (SCM z);
SCM_API double scm_c_imag_part (SCM z);
SCM_API double scm_c_magnitude (SCM z);
SCM_API double scm_c_angle (SCM z);

SCM_API int scm_is_number (SCM val);

SCM_API void scm_init_numbers (void);

#endif  /* SCM_NUMBERS_H */

/*
  Local Variables:
  c-file-style: "gnu"
  End:
*/
Commit	Line	Data
0f2d19dd JB	1	/* classes: h_files */
0f2d19dd JB	2
3c9a524f DH	3	#ifndef SCM_NUMBERS_H
3c9a524f DH	4	#define SCM_NUMBERS_H
dee01b01	5
23c3b605	6	/* Copyright (C) 1995,1996,1998,2000,2001,2002,2003,2004,2005 Free Software Foundation, Inc.
dee01b01	7	*
73be1d9e MV	8	* This library is free software; you can redistribute it and/or
	9	* modify it under the terms of the GNU Lesser General Public
	10	* License as published by the Free Software Foundation; either
	11	* version 2.1 of the License, or (at your option) any later version.
dee01b01	12	*
73be1d9e	13	* This library is distributed in the hope that it will be useful,
0f2d19dd	14	* but WITHOUT ANY WARRANTY; without even the implied warranty of
73be1d9e MV	15	* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
73be1d9e MV	16	* Lesser General Public License for more details.
dee01b01	17	*
73be1d9e MV	18	* You should have received a copy of the GNU Lesser General Public
73be1d9e MV	19	* License along with this library; if not, write to the Free Software
92205699	20	* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
73be1d9e	21	*/
d3a6bc94	22
0f2d19dd JB	23	\f
0f2d19dd JB	24
cd036260 MV	25	#include <gmp.h>
cd036260 MV	26
b4309c3c	27	#include "libguile/__scm.h"
34f74fe1 MD	28	#include "libguile/print.h"
34f74fe1 MD	29
f0ad7455 RB	30	#if SCM_HAVE_FLOATINGPOINT_H
f0ad7455 RB	31	# include <floatingpoint.h>
232898d9 MV	32	#endif
232898d9 MV	33
f0ad7455 RB	34	#if SCM_HAVE_IEEEFP_H
f0ad7455 RB	35	# include <ieeefp.h>
232898d9 MV	36	#endif
232898d9 MV	37
f0ad7455 RB	38	#if SCM_HAVE_NAN_H
	39	# if defined (SCO)
	40	# define _IEEE 1
	41	# endif
	42	# include <nan.h>
	43	# if defined (SCO)
	44	# undef _IEEE
	45	# endif
	46	#endif /* SCM_HAVE_NAN_H */
232898d9	47
0f2d19dd JB	48	\f
0f2d19dd JB	49
14282d0f	50	/* Immediate Numbers, also known as fixnums
0f2d19dd	51	*
14282d0f	52	* Inums are exact integer data that fits within an SCM word. */
0f2d19dd	53
c0060c95 MV	54	/* SCM_T_SIGNED_MAX is (- (expt 2 n) 1),
	55	* SCM_MOST_POSITIVE_FIXNUM should be (- (expt 2 (- n 2)) 1)
	56	* which is the same as (/ (- (expt 2 n) 4) 4)
	57	*/
	58
004c0902	59	#define SCM_I_FIXNUM_BIT (SCM_LONG_BIT - 2)
c0060c95	60	#define SCM_MOST_POSITIVE_FIXNUM ((SCM_T_SIGNED_BITS_MAX-3)/4)
004c0902	61	#define SCM_MOST_NEGATIVE_FIXNUM (-SCM_MOST_POSITIVE_FIXNUM-1)
5c75b29f	62
56100716 DH	63	/* SCM_SRS is signed right shift */
56100716 DH	64	#if (-1 == (((-1) << 2) + 2) >> 2)
14282d0f	65	# define SCM_SRS(x, y) ((x) >> (y))
0f2d19dd	66	#else
14282d0f	67	# define SCM_SRS(x, y) ((x) < 0 ? ~((~(x)) >> (y)) : ((x) >> (y)))
56100716	68	#endif /* (-1 == (((-1) << 2) + 2) >> 2) */
0f2d19dd JB	69
0f2d19dd JB	70
3aa13a05 MV	71	#define SCM_I_INUMP(x) (2 & SCM_UNPACK (x))
3aa13a05 MV	72	#define SCM_I_NINUMP(x) (!SCM_I_INUMP (x))
5a572ca1	73	#define SCM_I_MAKINUM(x) \
5d7d39ff	74	(SCM_PACK ((((scm_t_signed_bits) (x)) << 2) + scm_tc2_int))
3aa13a05	75	#define SCM_I_INUM(x) (SCM_SRS ((scm_t_signed_bits) SCM_UNPACK (x), 2))
0f2d19dd	76
894a712b DH	77	/* SCM_FIXABLE is true if its long argument can be encoded in an SCM_INUM. */
	78	#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
	79	#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
14282d0f	80	#define SCM_FIXABLE(n) (SCM_POSFIXABLE (n) && SCM_NEGFIXABLE (n))
894a712b DH	81
894a712b DH	82
56100716	83	/* A name for 0. */
5a572ca1	84	#define SCM_INUM0 (SCM_I_MAKINUM (0))
0f2d19dd	85
c0060c95	86	/* SCM_MAXEXP is the maximum double precision exponent
88eb6852 MD	87	* SCM_FLTMAX is less than or scm_equal the largest single precision float
	88	*/
	89
f0ad7455 RB	90	#if SCM_HAVE_STDC_HEADERS
f0ad7455 RB	91	# ifndef GO32
1e498fbd SJ	92	# include <float.h>
	93	# ifdef __MINGW32__
	94	# define copysign _copysign
1e498fbd SJ	95	# define finite _finite
1e498fbd SJ	96	# endif /* __MINGW32__ */
f0ad7455	97	# endif /* ndef GO32 */
88eb6852	98	#endif /* def STDC_HEADERS */
f0ad7455	99
88eb6852	100	#ifdef DBL_MAX_10_EXP
f0ad7455	101	# define SCM_MAXEXP DBL_MAX_10_EXP
88eb6852	102	#else
f0ad7455	103	# define SCM_MAXEXP 308 /* IEEE doubles */
88eb6852	104	#endif /* def DBL_MAX_10_EXP */
f0ad7455	105
88eb6852	106	#ifdef FLT_MAX
f0ad7455	107	# define SCM_FLTMAX FLT_MAX
88eb6852	108	#else
f0ad7455	109	# define SCM_FLTMAX 1e+23
88eb6852 MD	110	#endif /* def FLT_MAX */
88eb6852 MD	111
0f2d19dd	112
2881e77b MV	113	/* SCM_INTBUFLEN is the maximum number of characters neccessary for
	114	* the printed or scm_string representation of an scm_t_intmax in
	115	* radix 2. The buffer passed to scm_iint2str and scm_iuint2str must
	116	* be of this size, for example.
0f2d19dd	117	*/
2881e77b	118	#define SCM_INTBUFLEN (5 + SCM_CHAR_BIT*sizeof(scm_t_intmax))
0f2d19dd JB	119
	120	\f
	121
	122	/* Numbers
	123	*/
	124
534c55a9 DH	125
	126	/* Note that scm_tc16_real and scm_tc16_complex are given tc16-codes that only
	127	* differ in one bit: This way, checking if an object is an inexact number can
	128	* be done quickly (using the TYP16S macro). */
	129
f03314f9 DH	130	/* Number subtype 1 to 3 (note the dependency on the predicates SCM_INEXACTP
f03314f9 DH	131	* and SCM_NUMP) */
534c55a9 DH	132	#define scm_tc16_big (scm_tc7_number + 1 * 256L)
	133	#define scm_tc16_real (scm_tc7_number + 2 * 256L)
	134	#define scm_tc16_complex (scm_tc7_number + 3 * 256L)
f92e85f7	135	#define scm_tc16_fraction (scm_tc7_number + 4 * 256L)
534c55a9	136
f03314f9 DH	137	#define SCM_INEXACTP(x) \
f03314f9 DH	138	(!SCM_IMP (x) && (0xfeff & SCM_CELL_TYPE (x)) == scm_tc16_real)
0d5e3480 DH	139	#define SCM_REALP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_real)
0d5e3480 DH	140	#define SCM_COMPLEXP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
88eb6852	141
92c2555f MV	142	#define SCM_REAL_VALUE(x) (((scm_t_double *) SCM2PTR (x))->real)
92c2555f MV	143	#define SCM_COMPLEX_MEM(x) ((scm_t_complex *) SCM_CELL_WORD_1 (x))
405aaef9 DH	144	#define SCM_COMPLEX_REAL(x) (SCM_COMPLEX_MEM (x)->real)
405aaef9 DH	145	#define SCM_COMPLEX_IMAG(x) (SCM_COMPLEX_MEM (x)->imag)
0f2d19dd	146
d3e7e88d	147	/* Each bignum is just an mpz_t stored in a double cell starting at word 1. */
fba8fdc0	148	#define SCM_I_BIG_MPZ(x) (((mpz_t ) (SCM_CELL_OBJECT_LOC((x),1))))
d3e7e88d	149	#define SCM_BIGP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_big)
0f2d19dd	150
3aa13a05	151	#define SCM_NUMBERP(x) (SCM_I_INUMP(x) \|\| SCM_NUMP(x))
d3e7e88d	152	#define SCM_NUMP(x) (!SCM_IMP(x) \
f92e85f7 MV	153	&& (((0xfcff & SCM_CELL_TYPE (x)) == scm_tc7_number) \
	154	\|\| ((0xfbff & SCM_CELL_TYPE (x)) == scm_tc7_number)))
	155	/* 0xfcff (#b1100) for 0 free, 1 big, 2 real, 3 complex, then 0xfbff (#b1011) for 4 fraction */
	156
	157	#define SCM_FRACTIONP(x) (!SCM_IMP (x) && SCM_TYP16 (x) == scm_tc16_fraction)
651f07f8 DH	158	#define SCM_FRACTION_NUMERATOR(x) (SCM_CELL_OBJECT_1 (x))
	159	#define SCM_FRACTION_DENOMINATOR(x) (SCM_CELL_OBJECT_2 (x))
	160	#define SCM_FRACTION_SET_NUMERATOR(x, v) (SCM_SET_CELL_OBJECT_1 ((x), (v)))
	161	#define SCM_FRACTION_SET_DENOMINATOR(x, v) (SCM_SET_CELL_OBJECT_2 ((x), (v)))
	162
f92e85f7 MV	163	/* I think the left half word is free in the type, so I'll use bit 17 */
	164	#define SCM_FRACTION_REDUCED_BIT 0x10000
	165	#define SCM_FRACTION_REDUCED_SET(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) \| SCM_FRACTION_REDUCED_BIT)))
	166	#define SCM_FRACTION_REDUCED_CLEAR(x) (SCM_SET_CELL_TYPE((x), (SCM_CELL_TYPE (x) & ~SCM_FRACTION_REDUCED_BIT)))
	167	#define SCM_FRACTION_REDUCED(x) (0x10000 & SCM_CELL_TYPE (x))
88eb6852	168
0f2d19dd JB	169	\f
0f2d19dd JB	170
92c2555f	171	typedef struct scm_t_double
0f2d19dd JB	172	{
0f2d19dd JB	173	SCM type;
88eb6852 MD	174	SCM pad;
88eb6852 MD	175	double real;
92c2555f	176	} scm_t_double;
0f2d19dd	177
92c2555f	178	typedef struct scm_t_complex
0f2d19dd	179	{
88eb6852 MD	180	double real;
88eb6852 MD	181	double imag;
92c2555f	182	} scm_t_complex;
0f2d19dd	183
0f2d19dd	184	\f
0f2d19dd	185
33b001fd MV	186	SCM_API SCM scm_exact_p (SCM x);
	187	SCM_API SCM scm_odd_p (SCM n);
	188	SCM_API SCM scm_even_p (SCM n);
232898d9 MV	189	SCM_API SCM scm_inf_p (SCM n);
	190	SCM_API SCM scm_nan_p (SCM n);
	191	SCM_API SCM scm_inf (void);
	192	SCM_API SCM scm_nan (void);
33b001fd MV	193	SCM_API SCM scm_abs (SCM x);
	194	SCM_API SCM scm_quotient (SCM x, SCM y);
	195	SCM_API SCM scm_remainder (SCM x, SCM y);
	196	SCM_API SCM scm_modulo (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);
d885e204	205	SCM_API SCM scm_modulo_expt (SCM n, SCM k, SCM m);
33b001fd MV	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);
1be6b49c	211
2881e77b MV	212	SCM_API size_t scm_iint2str (scm_t_intmax num, int rad, char *p);
2881e77b MV	213	SCM_API size_t scm_iuint2str (scm_t_uintmax num, int rad, char *p);
33b001fd MV	214	SCM_API SCM scm_number_to_string (SCM x, SCM radix);
	215	SCM_API int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
	216	SCM_API int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
	217	SCM_API int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
	218	SCM_API SCM scm_i_mem2number (const char *mem, size_t len, unsigned int radix);
	219	SCM_API SCM scm_string_to_number (SCM str, SCM radix);
33b001fd MV	220	SCM_API SCM scm_bigequal (SCM x, SCM y);
	221	SCM_API SCM scm_real_equalp (SCM x, SCM y);
	222	SCM_API SCM scm_complex_equalp (SCM x, SCM y);
	223	SCM_API SCM scm_number_p (SCM x);
8507ec80	224	SCM_API SCM scm_complex_p (SCM x);
33b001fd	225	SCM_API SCM scm_real_p (SCM x);
8507ec80	226	SCM_API SCM scm_rational_p (SCM z);
33b001fd MV	227	SCM_API SCM scm_integer_p (SCM x);
	228	SCM_API SCM scm_inexact_p (SCM x);
	229	SCM_API SCM scm_num_eq_p (SCM x, SCM y);
	230	SCM_API SCM scm_less_p (SCM x, SCM y);
	231	SCM_API SCM scm_gr_p (SCM x, SCM y);
	232	SCM_API SCM scm_leq_p (SCM x, SCM y);
	233	SCM_API SCM scm_geq_p (SCM x, SCM y);
	234	SCM_API SCM scm_zero_p (SCM z);
	235	SCM_API SCM scm_positive_p (SCM x);
	236	SCM_API SCM scm_negative_p (SCM x);
	237	SCM_API SCM scm_max (SCM x, SCM y);
	238	SCM_API SCM scm_min (SCM x, SCM y);
	239	SCM_API SCM scm_sum (SCM x, SCM y);
40882e3d	240	SCM_API SCM scm_oneplus (SCM x);
33b001fd	241	SCM_API SCM scm_difference (SCM x, SCM y);
40882e3d	242	SCM_API SCM scm_oneminus (SCM x);
33b001fd	243	SCM_API SCM scm_product (SCM x, SCM y);
33b001fd	244	SCM_API SCM scm_divide (SCM x, SCM y);
f92e85f7 MV	245	SCM_API SCM scm_floor (SCM x);
f92e85f7 MV	246	SCM_API SCM scm_ceiling (SCM x);
33b001fd MV	247	SCM_API double scm_asinh (double x);
	248	SCM_API double scm_acosh (double x);
	249	SCM_API double scm_atanh (double x);
3101f40f MV	250	SCM_API double scm_c_truncate (double x);
3101f40f MV	251	SCM_API double scm_c_round (double x);
f92e85f7 MV	252	SCM_API SCM scm_truncate_number (SCM x);
f92e85f7 MV	253	SCM_API SCM scm_round_number (SCM x);
33b001fd MV	254	SCM_API SCM scm_sys_expt (SCM z1, SCM z2);
	255	SCM_API SCM scm_sys_atan2 (SCM z1, SCM z2);
	256	SCM_API SCM scm_make_rectangular (SCM z1, SCM z2);
	257	SCM_API SCM scm_make_polar (SCM z1, SCM z2);
	258	SCM_API SCM scm_real_part (SCM z);
	259	SCM_API SCM scm_imag_part (SCM z);
	260	SCM_API SCM scm_magnitude (SCM z);
	261	SCM_API SCM scm_angle (SCM z);
	262	SCM_API SCM scm_exact_to_inexact (SCM z);
	263	SCM_API SCM scm_inexact_to_exact (SCM z);
	264	SCM_API SCM scm_trunc (SCM x);
33b001fd	265
d3e7e88d RB	266	/* bignum internal functions */
	267	SCM_API SCM scm_i_mkbig (void);
	268	SCM_API SCM scm_i_normbig (SCM x);
	269	SCM_API int scm_i_bigcmp (SCM a, SCM b);
	270	SCM_API SCM scm_i_dbl2big (double d);
f92e85f7	271	SCM_API SCM scm_i_dbl2num (double d);
d3e7e88d	272	SCM_API double scm_i_big2dbl (SCM b);
d3e7e88d RB	273	SCM_API SCM scm_i_long2big (long n);
d3e7e88d RB	274	SCM_API SCM scm_i_ulong2big (unsigned long n);
23c3b605	275	SCM_API SCM scm_i_clonebig (SCM src_big, int same_sign_p);
d3e7e88d	276
f92e85f7	277	/* ratio functions */
f92e85f7 MV	278	SCM_API SCM scm_rationalize (SCM x, SCM err);
	279	SCM_API SCM scm_numerator (SCM z);
	280	SCM_API SCM scm_denominator (SCM z);
f92e85f7 MV	281
	282	/* fraction internal functions */
	283	SCM_API double scm_i_fraction2double (SCM z);
	284	SCM_API SCM scm_i_fraction_equalp (SCM x, SCM y);
	285	SCM_API int scm_i_print_fraction (SCM sexp, SCM port, scm_print_state *pstate);
	286
b479fe9a MV	287	/* general internal functions */
b479fe9a MV	288	SCM_API void scm_i_print_double (double val, SCM port);
7a1aba42	289	SCM_API void scm_i_print_complex (double real, double imag, SCM port);
b479fe9a	290
d1b5b400	291	/* conversion functions for integers */
73e4de09 MV	292
	293	SCM_API int scm_is_integer (SCM val);
	294	SCM_API int scm_is_signed_integer (SCM val,
	295	scm_t_intmax min, scm_t_intmax max);
	296	SCM_API int scm_is_unsigned_integer (SCM val,
	297	scm_t_uintmax min, scm_t_uintmax max);
	298
	299	SCM_API SCM scm_from_signed_integer (scm_t_intmax val);
	300	SCM_API SCM scm_from_unsigned_integer (scm_t_uintmax val);
	301
	302	SCM_API scm_t_intmax scm_to_signed_integer (SCM val,
	303	scm_t_intmax min,
	304	scm_t_intmax max);
	305	SCM_API scm_t_uintmax scm_to_unsigned_integer (SCM val,
	306	scm_t_uintmax min,
	307	scm_t_uintmax max);
	308
bfd7932e MV	309	SCM_API scm_t_int8 scm_to_int8 (SCM x);
	310	SCM_API SCM scm_from_int8 (scm_t_int8 x);
	311
	312	SCM_API scm_t_uint8 scm_to_uint8 (SCM x);
	313	SCM_API SCM scm_from_uint8 (scm_t_uint8 x);
	314
	315	SCM_API scm_t_int16 scm_to_int16 (SCM x);
	316	SCM_API SCM scm_from_int16 (scm_t_int16 x);
	317
	318	SCM_API scm_t_uint16 scm_to_uint16 (SCM x);
	319	SCM_API SCM scm_from_uint16 (scm_t_uint16 x);
	320
	321	SCM_API scm_t_int32 scm_to_int32 (SCM x);
	322	SCM_API SCM scm_from_int32 (scm_t_int32 x);
	323
	324	SCM_API scm_t_uint32 scm_to_uint32 (SCM x);
	325	SCM_API SCM scm_from_uint32 (scm_t_uint32 x);
	326
	327	#if SCM_HAVE_T_INT64
	328
	329	SCM_API scm_t_int64 scm_to_int64 (SCM x);
	330	SCM_API SCM scm_from_int64 (scm_t_int64 x);
	331
	332	SCM_API scm_t_uint64 scm_to_uint64 (SCM x);
	333	SCM_API SCM scm_from_uint64 (scm_t_uint64 x);
	334
	335	#endif
	336
cd036260 MV	337	SCM_API void scm_to_mpz (SCM x, mpz_t rop);
	338	SCM_API SCM scm_from_mpz (mpz_t rop);
	339
	340
d1b5b400 MV	341	/* The conversion functions for other types are aliased to the
	342	appropriate ones from above. We pick the right one based on the
	343	size of the type.
	344
	345	Not each and every possibility is covered by the code below, and
	346	while it is trivial to complete the tests, it might be better to
	347	just test for the 'sane' possibilities. When one of the tests
	348	below fails, chances are good that some silent assumption somewhere
	349	else will also fail.
	350	*/
	351
	352	#if SCM_SIZEOF_CHAR == 1
	353	#define scm_to_schar scm_to_int8
	354	#define scm_from_schar scm_from_int8
	355	#define scm_to_uchar scm_to_uint8
	356	#define scm_from_uchar scm_from_uint8
73e4de09	357	#if CHAR_MIN == 0
d1b5b400 MV	358	#define scm_to_char scm_to_uint8
d1b5b400 MV	359	#define scm_from_char scm_from_uint8
73e4de09	360	#else
d1b5b400 MV	361	#define scm_to_char scm_to_int8
d1b5b400 MV	362	#define scm_from_char scm_from_int8
73e4de09	363	#endif
d1b5b400 MV	364	#else
d1b5b400 MV	365	#error sizeof(char) is not 1.
22008a78 MV	366	#endif
22008a78 MV	367
d1b5b400 MV	368	#if SCM_SIZEOF_SHORT == 1
	369	#define scm_to_short scm_to_int8
	370	#define scm_from_short scm_from_int8
	371	#define scm_to_ushort scm_to_uint8
	372	#define scm_from_ushort scm_from_uint8
	373	#else
	374	#if SCM_SIZEOF_SHORT == 2
	375	#define scm_to_short scm_to_int16
	376	#define scm_from_short scm_from_int16
	377	#define scm_to_ushort scm_to_uint16
	378	#define scm_from_ushort scm_from_uint16
	379	#else
	380	#if SCM_SIZEOF_SHORT == 4
	381	#define scm_to_short scm_to_int32
	382	#define scm_from_short scm_from_int32
	383	#define scm_to_ushort scm_to_uint32
	384	#define scm_from_ushort scm_from_uint32
73e4de09	385	#else
d1b5b400 MV	386	#error sizeof(short) is not 1, 2, or 4.
	387	#endif
	388	#endif
73e4de09 MV	389	#endif
73e4de09 MV	390
d1b5b400 MV	391	#if SCM_SIZEOF_INT == 4
	392	#define scm_to_int scm_to_int32
	393	#define scm_from_int scm_from_int32
	394	#define scm_to_uint scm_to_uint32
	395	#define scm_from_uint scm_from_uint32
	396	#else
	397	#if SCM_SIZEOF_INT == 8
	398	#define scm_to_int scm_to_int64
	399	#define scm_from_int scm_from_int64
	400	#define scm_to_uint scm_to_uint64
	401	#define scm_from_uint scm_from_uint64
	402	#else
	403	#error sizeof(int) is not 4 or 8.
	404	#endif
	405	#endif
73e4de09	406
d1b5b400 MV	407	#if SCM_SIZEOF_LONG == 4
	408	#define scm_to_long scm_to_int32
	409	#define scm_from_long scm_from_int32
	410	#define scm_to_ulong scm_to_uint32
	411	#define scm_from_ulong scm_from_uint32
	412	#else
	413	#if SCM_SIZEOF_LONG == 8
	414	#define scm_to_long scm_to_int64
	415	#define scm_from_long scm_from_int64
	416	#define scm_to_ulong scm_to_uint64
	417	#define scm_from_ulong scm_from_uint64
	418	#else
	419	#error sizeof(long) is not 4 or 8.
	420	#endif
	421	#endif
73e4de09	422
d1b5b400 MV	423	#if SCM_SIZEOF_INTMAX == 4
	424	#define scm_to_intmax scm_to_int32
	425	#define scm_from_intmax scm_from_int32
	426	#define scm_to_uintmax scm_to_uint32
	427	#define scm_from_uintmax scm_from_uint32
	428	#else
	429	#if SCM_SIZEOF_INTMAX == 8
	430	#define scm_to_intmax scm_to_int64
	431	#define scm_from_intmax scm_from_int64
	432	#define scm_to_uintmax scm_to_uint64
	433	#define scm_from_uintmax scm_from_uint64
	434	#else
55f26379	435	#error sizeof(scm_t_intmax) is not 4 or 8.
d1b5b400 MV	436	#endif
d1b5b400 MV	437	#endif
73e4de09	438
d1b5b400 MV	439	#if SCM_SIZEOF_LONG_LONG == 0
	440	#else
	441	#if SCM_SIZEOF_LONG_LONG == 8
	442	#define scm_to_long_long scm_to_int64
	443	#define scm_from_long_long scm_from_int64
	444	#define scm_to_ulong_long scm_to_uint64
	445	#define scm_from_ulong_long scm_from_uint64
	446	#else
	447	#error sizeof(long long) is not 8.
	448	#endif
	449	#endif
73e4de09	450
d1b5b400 MV	451	#if SCM_SIZEOF_SIZE_T == 4
	452	#define scm_to_ssize_t scm_to_int32
	453	#define scm_from_ssize_t scm_from_int32
	454	#define scm_to_size_t scm_to_uint32
	455	#define scm_from_size_t scm_from_uint32
	456	#else
	457	#if SCM_SIZEOF_SIZE_T == 8
	458	#define scm_to_ssize_t scm_to_int64
	459	#define scm_from_ssize_t scm_from_int64
	460	#define scm_to_size_t scm_to_uint64
	461	#define scm_from_size_t scm_from_uint64
	462	#else
	463	#error sizeof(size_t) is not 4 or 8.
	464	#endif
22008a78 MV	465	#endif
22008a78 MV	466
8507ec80	467	/* conversion functions for double */
22008a78	468
73e4de09	469	SCM_API int scm_is_real (SCM val);
55f26379	470	SCM_API int scm_is_rational (SCM val);
73e4de09 MV	471	SCM_API double scm_to_double (SCM val);
	472	SCM_API SCM scm_from_double (double val);
	473
8507ec80 MV	474	/* conversion functions for complex */
	475
	476	SCM_API int scm_is_complex (SCM val);
	477	SCM_API SCM scm_c_make_rectangular (double re, double im);
	478	SCM_API SCM scm_c_make_polar (double mag, double ang);
	479	SCM_API double scm_c_real_part (SCM z);
	480	SCM_API double scm_c_imag_part (SCM z);
	481	SCM_API double scm_c_magnitude (SCM z);
	482	SCM_API double scm_c_angle (SCM z);
	483
	484	SCM_API int scm_is_number (SCM val);
	485
33b001fd	486	SCM_API void scm_init_numbers (void);
0f2d19dd	487
3c9a524f	488	#endif /* SCM_NUMBERS_H */
89e00824 ML	489
	490	/*
	491	Local Variables:
	492	c-file-style: "gnu"
	493	End:
	494	*/