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

/* classes: h_files */

#ifndef NUMBERSH
#define NUMBERSH
/*	Copyright (C) 1995, 1996, 1998, 2000 Free Software Foundation, Inc.
 * 
 * This program is free software; you can redistribute it and/or modify
 * it under the terms of the GNU General Public License as published by
 * the Free Software Foundation; either version 2, or (at your option)
 * any later version.
 * 
 * This program 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 General Public License for more details.
 * 
 * You should have received a copy of the GNU General Public License
 * along with this software; see the file COPYING.  If not, write to
 * the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
 * Boston, MA 02111-1307 USA
 *
 * As a special exception, the Free Software Foundation gives permission
 * for additional uses of the text contained in its release of GUILE.
 *
 * The exception is that, if you link the GUILE library with other files
 * to produce an executable, this does not by itself cause the
 * resulting executable to be covered by the GNU General Public License.
 * Your use of that executable is in no way restricted on account of
 * linking the GUILE library code into it.
 *
 * This exception does not however invalidate any other reasons why
 * the executable file might be covered by the GNU General Public License.
 *
 * This exception applies only to the code released by the
 * Free Software Foundation under the name GUILE.  If you copy
 * code from other Free Software Foundation releases into a copy of
 * GUILE, as the General Public License permits, the exception does
 * not apply to the code that you add in this way.  To avoid misleading
 * anyone as to the status of such modified files, you must delete
 * this exception notice from them.
 *
 * If you write modifications of your own for GUILE, it is your choice
 * whether to permit this exception to apply to your modifications.
 * If you do not wish that, delete this exception notice.  */

/* Software engineering face-lift by Greg J. Badros, 11-Dec-1999,
   gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */
\f

#include "libguile/__scm.h"

#include "libguile/print.h"

\f


/* Immediate Numbers 
 *
 * Inums are exact integer data that fits within an SCM word.
 *
 * SCM_INUMP applies only to values known to be Scheme objects.
 * In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
 * to be a SCM_CONSP.  If x is only known to be a SCM_NIMP, 
 * SCM_INUMP (SCM_CAR (x)) can give wrong answers.
 */

#define SCM_INUMP(x)	(2 & (int)(x))
#define SCM_NINUMP(x) 	(!SCM_INUMP(x))

#ifdef __TURBOC__
/* shifts of more than one are done by a library call, single shifts are
 * performed in registers
 */
# define SCM_MAKINUM(x) ((SCM) (((SCM_UNPACK(x)<<1)<<1)+2L))
#else
# define SCM_MAKINUM(x) ((SCM)((SCM_UNPACK(x)<<2)+2L))
#endif /* def __TURBOC__ */


/* SCM_SRS is signed right shift */
/* SCM_INUM makes a C int from an SCM immediate number. */
/* Turbo C++ v1.0 has a bug with right shifts of signed longs!
 * It is believed to be fixed in Turbo C++ v1.01
 */
#if (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295)
# define SCM_SRS(x, y) ((x) >> y)
# ifdef __TURBOC__
#  define SCM_INUM(x) ((SCM_UNPACK (x) >>1) >>1)
# else
#  define SCM_INUM(x) SCM_SRS (SCM_UNPACK (x), 2)
# endif /* def __TURBOC__ */
#else
# define SCM_SRS(x, y)\
 ((SCM_UNPACK (x) < 0) ? ~( (~SCM_UNPACK (x)) >> y) : (SCM_UNPACK (x) >> y))
# define SCM_INUM(x) SCM_SRS (SCM_UNPACK (x), 2)
#endif /*  (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295) */


/* A name for 0.
 */
#define SCM_INUM0 ((SCM) 2)


/* SCM_FIXABLE is non-0 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_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
#define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))

/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
 * printed or scm_string representation of an exact immediate.
 */

#ifndef SCM_CHAR_BIT
# define SCM_CHAR_BIT 8
#endif /* ndef SCM_CHAR_BIT */
#ifndef SCM_LONG_BIT
# define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
#endif /* ndef SCM_LONG_BIT */
#define SCM_INTBUFLEN (5+SCM_LONG_BIT)

/* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
 * printed or scm_string representation of an inexact number.
 */

#define SCM_FLOBUFLEN (10+2*(sizeof(double)/sizeof(char)*SCM_CHAR_BIT*3+9)/10)


\f

/* Numbers 
 */

#define SCM_INEXP(x) (SCM_NIMP(x) && (SCM_TYP16(x)==scm_tc16_flo))
#define SCM_CPLXP(x) (SCM_NIMP(x) && (SCM_UNPACK_CAR (x)==scm_tc_dblc))
#define SCM_REAL(x) (*(((scm_dbl *) (SCM2PTR(x)))->real))
#define SCM_IMAG(x) (*((double *)(SCM_CHARS(x)+sizeof(double))))
/* ((&SCM_REAL(x))[1]) */


#ifdef SCM_SINGLES
#define SCM_REALP(x) (SCM_NIMP(x) && ((~SCM_REAL_PART & SCM_UNPACK_CAR (x))==scm_tc_flo))
#define SCM_SINGP(x) (SCM_NIMP(x) && (SCM_UNPACK_CAR (x)==scm_tc_flo))
#define SCM_FLO(x) (((scm_flo *)(SCM2PTR(x)))->num)
#define SCM_REALPART(x) (SCM_SINGP(x)?0.0+SCM_FLO(x):SCM_REAL(x))
#else /* SCM_SINGLES */
#define SCM_REALP(x) (SCM_NIMP(x) && (SCM_CAR(x)==scm_tc_dblr))
#define SCM_REALPART SCM_REAL
#endif /* SCM_SINGLES */


/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
 * you want bignums.  SCM_BIGRAD is one greater than the biggest SCM_BIGDIG. 
 *
 * Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long. 
 */
#ifdef BIGNUMS
# ifdef _UNICOS
#  define SCM_DIGSTOOBIG
#  if (1L << 31) <= SCM_USHRT_MAX
#   define SCM_BIGDIG unsigned  short
#  else
#   define SCM_BIGDIG unsigned int
#  endif /*  (1L << 31) <= USHRT_MAX */
#  define SCM_BITSPERDIG 32
# else
#  define SCM_BIGDIG unsigned short
#  define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
# endif /* def _UNICOS */

# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
# define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
# define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
# define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))

#endif /* def BIGNUMS */

#ifndef SCM_BIGDIG
/* Definition is not really used but helps various function
 * prototypes to compile with conditionalization.
 */
# define SCM_BIGDIG unsigned short
# define SCM_NO_BIGDIG
# ifndef SCM_FLOATS
#  define SCM_INUMS_ONLY
# endif /* ndef SCM_FLOATS */
#endif /* ndef SCM_BIGDIG */

#ifdef SCM_FLOATS
#define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
#ifdef SCM_BIGDIG
#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
			? (double) SCM_INUM (x) \
			: (SCM_REALP (x) \
			   ? SCM_REALPART (x) \
			   : scm_big2dbl (x)))
#else
#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
			? (double) SCM_INUM (x) \
			: SCM_REALPART (x))
#endif
#else
#ifdef SCM_BIGDIG
#define SCM_NUMBERP(x) (SCM_INUMP(x) || (SCM_NIMP(x) && SCM_NUMP(x)))
#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
			? (double) SCM_INUM (x) \
			: scm_big2dbl (x))
#else
#define SCM_NUMBERP SCM_INUMP
#define SCM_NUM2DBL(x) ((double) SCM_INUM (x))
#endif
#endif
#define SCM_NUMP(x) (SCM_NIMP(x) && (0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
#define SCM_BIGP(x) (SCM_NIMP(x) && SCM_TYP16S(x)==scm_tc16_bigpos)
#define SCM_BIGSIGN(x) (0x0100 & (int)SCM_CAR(x))
#define SCM_BDIGITS(x) ((SCM_BIGDIG *)(SCM_CDR(x)))
#define SCM_NUMDIGS(x) ((scm_sizet)(SCM_UNPACK_CAR (x)>>16))
#define SCM_SETNUMDIGS(x, v, t) SCM_SETCAR(x, (((v)+0L)<<16)+(t))
\f

#ifdef SCM_FLOATS
typedef struct scm_dblproc
{
  char *scm_string;
  double (*cproc) ();
} scm_dblproc;

#ifdef SCM_SINGLES
typedef struct scm_flo
{
  SCM type;
  float num;
} scm_flo;
#endif

typedef struct scm_dbl
{
  SCM type;
  double *real;
} scm_dbl;
#endif


\f

extern SCM scm_exact_p (SCM x);
extern SCM scm_odd_p (SCM n);
extern SCM scm_even_p (SCM n);
extern SCM scm_abs (SCM x);
extern SCM scm_quotient (SCM x, SCM y);
extern SCM scm_remainder (SCM x, SCM y);
extern SCM scm_modulo (SCM x, SCM y);
extern SCM scm_gcd (SCM x, SCM y);
extern SCM scm_lcm (SCM n1, SCM n2);
extern SCM scm_logand (SCM n1, SCM n2);
extern SCM scm_logior (SCM n1, SCM n2);
extern SCM scm_logxor (SCM n1, SCM n2);
extern SCM scm_logtest (SCM n1, SCM n2);
extern SCM scm_logbit_p (SCM n1, SCM n2);
extern SCM scm_lognot (SCM n);
extern SCM scm_integer_expt (SCM z1, SCM z2);
extern SCM scm_ash (SCM n, SCM cnt);
extern SCM scm_bit_extract (SCM n, SCM start, SCM end);
extern SCM scm_logcount (SCM n);
extern SCM scm_integer_length (SCM n);
extern SCM scm_mkbig (scm_sizet nlen, int sign);
extern SCM scm_big2inum (SCM b, scm_sizet l);
extern SCM scm_adjbig (SCM b, scm_sizet nlen);
extern SCM scm_normbig (SCM b);
extern SCM scm_copybig (SCM b, int sign);
extern SCM scm_long2big (long n);
extern SCM scm_long_long2big (long_long n);
extern SCM scm_2ulong2big (unsigned long * np);
extern SCM scm_ulong2big (unsigned long n);
extern int scm_bigcomp (SCM x, SCM y);
extern long scm_pseudolong (long x);
extern void scm_longdigs (long x, SCM_BIGDIG digs[]);
extern SCM scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny);
extern SCM scm_mulbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn);
extern unsigned int scm_divbigdig (SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div);
extern SCM scm_divbigint (SCM x, long z, int sgn, int mode);
extern SCM scm_divbigbig (SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes);
extern scm_sizet scm_iint2str (long num, int rad, char *p);
extern SCM scm_number_to_string (SCM x, SCM radix);
extern int scm_floprint (SCM sexp, SCM port, scm_print_state *pstate);
extern int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
extern SCM scm_istr2int (char *str, long len, long radix);
extern SCM scm_istr2flo (char *str, long len, long radix);
extern SCM scm_istring2number (char *str, long len, long radix);
extern SCM scm_string_to_number (SCM str, SCM radix);
extern SCM scm_makdbl (double x, double y);
extern SCM scm_bigequal (SCM x, SCM y);
extern SCM scm_floequal (SCM x, SCM y);
extern SCM scm_number_p (SCM x);
extern SCM scm_real_p (SCM x);
extern SCM scm_integer_p (SCM x);
extern SCM scm_inexact_p (SCM x);
extern SCM scm_num_eq_p (SCM x, SCM y);
extern SCM scm_less_p (SCM x, SCM y);
extern SCM scm_gr_p (SCM x, SCM y);
extern SCM scm_leq_p (SCM x, SCM y);
extern SCM scm_geq_p (SCM x, SCM y);
extern SCM scm_zero_p (SCM z);
extern SCM scm_positive_p (SCM x);
extern SCM scm_negative_p (SCM x);
extern SCM scm_max (SCM x, SCM y);
extern SCM scm_min (SCM x, SCM y);
extern SCM scm_sum (SCM x, SCM y);
extern SCM scm_difference (SCM x, SCM y);
extern SCM scm_product (SCM x, SCM y);
extern double scm_num2dbl (SCM a, const char * why);
extern SCM scm_divide (SCM x, SCM y);
extern double scm_asinh (double x);
extern double scm_acosh (double x);
extern double scm_atanh (double x);
extern double scm_truncate (double x);
extern double scm_round (double x);
extern double scm_exact_to_inexact (double z);
extern SCM scm_sys_expt (SCM z1, SCM z2);
extern SCM scm_sys_atan2 (SCM z1, SCM z2);
extern SCM scm_make_rectangular (SCM z1, SCM z2);
extern SCM scm_make_polar (SCM z1, SCM z2);
extern SCM scm_real_part (SCM z);
extern SCM scm_imag_part (SCM z);
extern SCM scm_magnitude (SCM z);
extern SCM scm_angle (SCM z);
extern SCM scm_inexact_to_exact (SCM z);
extern SCM scm_trunc (SCM x);
extern SCM scm_dbl2big (double d);
extern double scm_big2dbl (SCM b);
extern SCM scm_long2num (long sl);
extern SCM scm_long_long2num (long_long sl);
extern SCM scm_ulong2num (unsigned long sl);
extern long scm_num2long (SCM num, char *pos, const char *s_caller);
extern long_long scm_num2long_long (SCM num, char *pos,
                                    const char *s_caller);
extern unsigned long scm_num2ulong (SCM num, char *pos,
                                    const char *s_caller);
extern void scm_init_numbers (void);

#endif  /* NUMBERSH */
Commit	Line	Data
0f2d19dd JB	1	/* classes: h_files */
	2
	3	#ifndef NUMBERSH
	4	#define NUMBERSH
7a58e59f	5	/* Copyright (C) 1995, 1996, 1998, 2000 Free Software Foundation, Inc.
0f2d19dd JB	6	*
	7	* This program is free software; you can redistribute it and/or modify
	8	* it under the terms of the GNU General Public License as published by
	9	* the Free Software Foundation; either version 2, or (at your option)
	10	* any later version.
	11	*
	12	* This program is distributed in the hope that it will be useful,
	13	* but WITHOUT ANY WARRANTY; without even the implied warranty of
	14	* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
	15	* GNU General Public License for more details.
	16	*
	17	* You should have received a copy of the GNU General Public License
	18	* along with this software; see the file COPYING. If not, write to
82892bed JB	19	* the Free Software Foundation, Inc., 59 Temple Place, Suite 330,
82892bed JB	20	* Boston, MA 02111-1307 USA
0f2d19dd JB	21	*
	22	* As a special exception, the Free Software Foundation gives permission
	23	* for additional uses of the text contained in its release of GUILE.
	24	*
	25	* The exception is that, if you link the GUILE library with other files
	26	* to produce an executable, this does not by itself cause the
	27	* resulting executable to be covered by the GNU General Public License.
	28	* Your use of that executable is in no way restricted on account of
	29	* linking the GUILE library code into it.
	30	*
	31	* This exception does not however invalidate any other reasons why
	32	* the executable file might be covered by the GNU General Public License.
	33	*
	34	* This exception applies only to the code released by the
	35	* Free Software Foundation under the name GUILE. If you copy
	36	* code from other Free Software Foundation releases into a copy of
	37	* GUILE, as the General Public License permits, the exception does
	38	* not apply to the code that you add in this way. To avoid misleading
	39	* anyone as to the status of such modified files, you must delete
	40	* this exception notice from them.
	41	*
	42	* If you write modifications of your own for GUILE, it is your choice
	43	* whether to permit this exception to apply to your modifications.
82892bed	44	* If you do not wish that, delete this exception notice. */
d3a6bc94 GB	45
	46	/* Software engineering face-lift by Greg J. Badros, 11-Dec-1999,
	47	gjb@cs.washington.edu, http://www.cs.washington.edu/homes/gjb */
0f2d19dd JB	48	\f
0f2d19dd JB	49
b4309c3c	50	#include "libguile/__scm.h"
0f2d19dd	51
34f74fe1 MD	52	#include "libguile/print.h"
34f74fe1 MD	53
0f2d19dd JB	54	\f
	55
	56
	57	/* Immediate Numbers
	58	*
	59	* Inums are exact integer data that fits within an SCM word.
	60	*
	61	* SCM_INUMP applies only to values known to be Scheme objects.
	62	* In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
	63	* to be a SCM_CONSP. If x is only known to be a SCM_NIMP,
	64	* SCM_INUMP (SCM_CAR (x)) can give wrong answers.
	65	*/
	66
	67	#define SCM_INUMP(x) (2 & (int)(x))
	68	#define SCM_NINUMP(x) (!SCM_INUMP(x))
	69
	70	#ifdef __TURBOC__
	71	/* shifts of more than one are done by a library call, single shifts are
	72	* performed in registers
	73	*/
f1267706	74	# define SCM_MAKINUM(x) ((SCM) (((SCM_UNPACK(x)<<1)<<1)+2L))
0f2d19dd	75	#else
f1267706	76	# define SCM_MAKINUM(x) ((SCM)((SCM_UNPACK(x)<<2)+2L))
0f2d19dd JB	77	#endif /* def __TURBOC__ */
	78
	79
	80	/* SCM_SRS is signed right shift */
c209c88e	81	/* SCM_INUM makes a C int from an SCM immediate number. */
0f2d19dd JB	82	/* Turbo C++ v1.0 has a bug with right shifts of signed longs!
	83	* It is believed to be fixed in Turbo C++ v1.01
	84	*/
	85	#if (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295)
7a58e59f	86	# define SCM_SRS(x, y) ((x) >> y)
0f2d19dd	87	# ifdef __TURBOC__
f1267706	88	# define SCM_INUM(x) ((SCM_UNPACK (x) >>1) >>1)
0f2d19dd	89	# else
f1267706	90	# define SCM_INUM(x) SCM_SRS (SCM_UNPACK (x), 2)
0f2d19dd JB	91	# endif /* def __TURBOC__ */
0f2d19dd JB	92	#else
7a58e59f	93	# define SCM_SRS(x, y)\
f1267706 MD	94	((SCM_UNPACK (x) < 0) ? ~( (~SCM_UNPACK (x)) >> y) : (SCM_UNPACK (x) >> y))
f1267706 MD	95	# define SCM_INUM(x) SCM_SRS (SCM_UNPACK (x), 2)
0f2d19dd JB	96	#endif /* (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295) */
	97
	98
	99	/* A name for 0.
	100	*/
	101	#define SCM_INUM0 ((SCM) 2)
	102
	103
	104
	105	/* SCM_FIXABLE is non-0 if its long argument can be encoded in an SCM_INUM.
	106	*/
08b5b88c MD	107	#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
	108	#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
	109	#define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
	110	#define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))
0f2d19dd JB	111
	112	/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
	113	* printed or scm_string representation of an exact immediate.
	114	*/
	115
	116	#ifndef SCM_CHAR_BIT
	117	# define SCM_CHAR_BIT 8
	118	#endif /* ndef SCM_CHAR_BIT */
	119	#ifndef SCM_LONG_BIT
	120	# define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
	121	#endif /* ndef SCM_LONG_BIT */
	122	#define SCM_INTBUFLEN (5+SCM_LONG_BIT)
	123
	124	/* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
	125	* printed or scm_string representation of an inexact number.
	126	*/
	127
	128	#define SCM_FLOBUFLEN (10+2(sizeof(double)/sizeof(char)SCM_CHAR_BIT*3+9)/10)
	129
	130
	131	\f
	132
	133	/* Numbers
	134	*/
	135
d3a6bc94	136	#define SCM_INEXP(x) (SCM_NIMP(x) && (SCM_TYP16(x)==scm_tc16_flo))
f1267706	137	#define SCM_CPLXP(x) (SCM_NIMP(x) && (SCM_UNPACK_CAR (x)==scm_tc_dblc))
0f2d19dd JB	138	#define SCM_REAL(x) ((((scm_dbl ) (SCM2PTR(x)))->real))
	139	#define SCM_IMAG(x) (((double )(SCM_CHARS(x)+sizeof(double))))
	140	/* ((&SCM_REAL(x))[1]) */
	141
	142
	143	#ifdef SCM_SINGLES
f1267706 MD	144	#define SCM_REALP(x) (SCM_NIMP(x) && ((~SCM_REAL_PART & SCM_UNPACK_CAR (x))==scm_tc_flo))
f1267706 MD	145	#define SCM_SINGP(x) (SCM_NIMP(x) && (SCM_UNPACK_CAR (x)==scm_tc_flo))
0f2d19dd JB	146	#define SCM_FLO(x) (((scm_flo *)(SCM2PTR(x)))->num)
	147	#define SCM_REALPART(x) (SCM_SINGP(x)?0.0+SCM_FLO(x):SCM_REAL(x))
	148	#else /* SCM_SINGLES */
d3a6bc94	149	#define SCM_REALP(x) (SCM_NIMP(x) && (SCM_CAR(x)==scm_tc_dblr))
0f2d19dd JB	150	#define SCM_REALPART SCM_REAL
	151	#endif /* SCM_SINGLES */
	152
	153
	154	/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
	155	* you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
	156	*
	157	* Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
	158	*/
	159	#ifdef BIGNUMS
	160	# ifdef _UNICOS
	161	# define SCM_DIGSTOOBIG
	162	# if (1L << 31) <= SCM_USHRT_MAX
	163	# define SCM_BIGDIG unsigned short
	164	# else
	165	# define SCM_BIGDIG unsigned int
	166	# endif /* (1L << 31) <= USHRT_MAX */
	167	# define SCM_BITSPERDIG 32
	168	# else
	169	# define SCM_BIGDIG unsigned short
	170	# define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
	171	# endif /* def _UNICOS */
	172
	173	# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
	174	# define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
0f2d19dd	175	# define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
08b5b88c	176	# define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
0f2d19dd JB	177	# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
0f2d19dd JB	178	# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
34f74fe1	179
0f2d19dd JB	180	#endif /* def BIGNUMS */
	181
	182	#ifndef SCM_BIGDIG
	183	/* Definition is not really used but helps various function
	184	* prototypes to compile with conditionalization.
	185	*/
	186	# define SCM_BIGDIG unsigned short
08b5b88c	187	# define SCM_NO_BIGDIG
0f2d19dd JB	188	# ifndef SCM_FLOATS
	189	# define SCM_INUMS_ONLY
	190	# endif /* ndef SCM_FLOATS */
	191	#endif /* ndef SCM_BIGDIG */
	192
	193	#ifdef SCM_FLOATS
	194	#define SCM_NUMBERP(x) (SCM_INUMP(x) \|\| (SCM_NIMP(x) && SCM_NUMP(x)))
9d0b279f MD	195	#ifdef SCM_BIGDIG
	196	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	197	? (double) SCM_INUM (x) \
	198	: (SCM_REALP (x) \
	199	? SCM_REALPART (x) \
	200	: scm_big2dbl (x)))
	201	#else
	202	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	203	? (double) SCM_INUM (x) \
	204	: SCM_REALPART (x))
	205	#endif
0f2d19dd JB	206	#else
	207	#ifdef SCM_BIGDIG
	208	#define SCM_NUMBERP(x) (SCM_INUMP(x) \|\| (SCM_NIMP(x) && SCM_NUMP(x)))
9d0b279f MD	209	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	210	? (double) SCM_INUM (x) \
	211	: scm_big2dbl (x))
0f2d19dd JB	212	#else
0f2d19dd JB	213	#define SCM_NUMBERP SCM_INUMP
9d0b279f	214	#define SCM_NUM2DBL(x) ((double) SCM_INUM (x))
0f2d19dd JB	215	#endif
0f2d19dd JB	216	#endif
d3a6bc94 GB	217	#define SCM_NUMP(x) (SCM_NIMP(x) && (0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
d3a6bc94 GB	218	#define SCM_BIGP(x) (SCM_NIMP(x) && SCM_TYP16S(x)==scm_tc16_bigpos)
0f2d19dd JB	219	#define SCM_BIGSIGN(x) (0x0100 & (int)SCM_CAR(x))
0f2d19dd JB	220	#define SCM_BDIGITS(x) ((SCM_BIGDIG *)(SCM_CDR(x)))
f1267706	221	#define SCM_NUMDIGS(x) ((scm_sizet)(SCM_UNPACK_CAR (x)>>16))
a6c64c3c	222	#define SCM_SETNUMDIGS(x, v, t) SCM_SETCAR(x, (((v)+0L)<<16)+(t))
0f2d19dd JB	223	\f
	224
	225	#ifdef SCM_FLOATS
	226	typedef struct scm_dblproc
	227	{
	228	char *scm_string;
	229	double (*cproc) ();
	230	} scm_dblproc;
	231
	232	#ifdef SCM_SINGLES
	233	typedef struct scm_flo
	234	{
	235	SCM type;
	236	float num;
	237	} scm_flo;
	238	#endif
	239
	240	typedef struct scm_dbl
	241	{
	242	SCM type;
	243	double *real;
	244	} scm_dbl;
	245	#endif
	246
	247
	248
	249	\f
0f2d19dd	250
7866a09b GB	251	extern SCM scm_exact_p (SCM x);
	252	extern SCM scm_odd_p (SCM n);
	253	extern SCM scm_even_p (SCM n);
	254	extern SCM scm_abs (SCM x);
	255	extern SCM scm_quotient (SCM x, SCM y);
	256	extern SCM scm_remainder (SCM x, SCM y);
	257	extern SCM scm_modulo (SCM x, SCM y);
	258	extern SCM scm_gcd (SCM x, SCM y);
	259	extern SCM scm_lcm (SCM n1, SCM n2);
	260	extern SCM scm_logand (SCM n1, SCM n2);
	261	extern SCM scm_logior (SCM n1, SCM n2);
	262	extern SCM scm_logxor (SCM n1, SCM n2);
	263	extern SCM scm_logtest (SCM n1, SCM n2);
	264	extern SCM scm_logbit_p (SCM n1, SCM n2);
	265	extern SCM scm_lognot (SCM n);
	266	extern SCM scm_integer_expt (SCM z1, SCM z2);
	267	extern SCM scm_ash (SCM n, SCM cnt);
	268	extern SCM scm_bit_extract (SCM n, SCM start, SCM end);
	269	extern SCM scm_logcount (SCM n);
	270	extern SCM scm_integer_length (SCM n);
	271	extern SCM scm_mkbig (scm_sizet nlen, int sign);
	272	extern SCM scm_big2inum (SCM b, scm_sizet l);
	273	extern SCM scm_adjbig (SCM b, scm_sizet nlen);
	274	extern SCM scm_normbig (SCM b);
	275	extern SCM scm_copybig (SCM b, int sign);
	276	extern SCM scm_long2big (long n);
	277	extern SCM scm_long_long2big (long_long n);
	278	extern SCM scm_2ulong2big (unsigned long * np);
	279	extern SCM scm_ulong2big (unsigned long n);
	280	extern int scm_bigcomp (SCM x, SCM y);
	281	extern long scm_pseudolong (long x);
	282	extern void scm_longdigs (long x, SCM_BIGDIG digs[]);
	283	extern SCM scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny);
	284	extern SCM scm_mulbig (SCM_BIGDIG x, scm_sizet nx, SCM_BIGDIG y, scm_sizet ny, int sgn);
	285	extern unsigned int scm_divbigdig (SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div);
	286	extern SCM scm_divbigint (SCM x, long z, int sgn, int mode);
	287	extern SCM scm_divbigbig (SCM_BIGDIG x, scm_sizet nx, SCM_BIGDIG y, scm_sizet ny, int sgn, int modes);
	288	extern scm_sizet scm_iint2str (long num, int rad, char *p);
	289	extern SCM scm_number_to_string (SCM x, SCM radix);
	290	extern int scm_floprint (SCM sexp, SCM port, scm_print_state *pstate);
	291	extern int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
	292	extern SCM scm_istr2int (char *str, long len, long radix);
	293	extern SCM scm_istr2flo (char *str, long len, long radix);
	294	extern SCM scm_istring2number (char *str, long len, long radix);
	295	extern SCM scm_string_to_number (SCM str, SCM radix);
	296	extern SCM scm_makdbl (double x, double y);
	297	extern SCM scm_bigequal (SCM x, SCM y);
	298	extern SCM scm_floequal (SCM x, SCM y);
	299	extern SCM scm_number_p (SCM x);
	300	extern SCM scm_real_p (SCM x);
	301	extern SCM scm_integer_p (SCM x);
	302	extern SCM scm_inexact_p (SCM x);
	303	extern SCM scm_num_eq_p (SCM x, SCM y);
	304	extern SCM scm_less_p (SCM x, SCM y);
	305	extern SCM scm_gr_p (SCM x, SCM y);
	306	extern SCM scm_leq_p (SCM x, SCM y);
	307	extern SCM scm_geq_p (SCM x, SCM y);
	308	extern SCM scm_zero_p (SCM z);
	309	extern SCM scm_positive_p (SCM x);
	310	extern SCM scm_negative_p (SCM x);
	311	extern SCM scm_max (SCM x, SCM y);
	312	extern SCM scm_min (SCM x, SCM y);
	313	extern SCM scm_sum (SCM x, SCM y);
	314	extern SCM scm_difference (SCM x, SCM y);
315	extern SCM scm_product (SCM x, SCM y);
316	extern double scm_num2dbl (SCM a, const char * why);
317	extern SCM scm_divide (SCM x, SCM y);
318	extern double scm_asinh (double x);
319	extern double scm_acosh (double x);
320	extern double scm_atanh (double x);
321	extern double scm_truncate (double x);
322	extern double scm_round (double x);
323	extern double scm_exact_to_inexact (double z);
324	extern SCM scm_sys_expt (SCM z1, SCM z2);
325	extern SCM scm_sys_atan2 (SCM z1, SCM z2);
326	extern SCM scm_make_rectangular (SCM z1, SCM z2);
327	extern SCM scm_make_polar (SCM z1, SCM z2);
328	extern SCM scm_real_part (SCM z);
329	extern SCM scm_imag_part (SCM z);
330	extern SCM scm_magnitude (SCM z);
331	extern SCM scm_angle (SCM z);
332	extern SCM scm_inexact_to_exact (SCM z);
333	extern SCM scm_trunc (SCM x);
334	extern SCM scm_dbl2big (double d);
335	extern double scm_big2dbl (SCM b);
336	extern SCM scm_long2num (long sl);
337	extern SCM scm_long_long2num (long_long sl);
338	extern SCM scm_ulong2num (unsigned long sl);
339	extern long scm_num2long (SCM num, char pos, const char s_caller);
340	extern long_long scm_num2long_long (SCM num, char *pos,
341	const char *s_caller);
342	extern unsigned long scm_num2ulong (SCM num, char *pos,
343	const char *s_caller);
344	extern void scm_init_numbers (void);
0f2d19dd JB	345
0f2d19dd JB	346	#endif /* NUMBERSH */