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

/* classes: h_files */

#ifndef NUMBERSH
#define NUMBERSH
/*	Copyright (C) 1995, 1996, 1998 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.  */
\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) ((((x)<<1)<<1)+2L)
#else
# define SCM_MAKINUM(x) (((x)<<2)+2L)
#endif /* def __TURBOC__ */


/* SCM_SRS is signed right shift */
/* 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) (((x)>>1)>>1)
# else
#  define SCM_INUM(x) SCM_SRS(x, 2)
# endif /* def __TURBOC__ */
#else
# define SCM_SRS(x, y) (((x)<0) ? ~((~(x))>>y) : (x)>>y)
# define SCM_INUM(x) SCM_SRS(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_TYP16(x)==scm_tc16_flo)
#define SCM_CPLXP(x) (SCM_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_REAL_PART & SCM_CAR(x))==scm_tc_flo)
#define SCM_SINGP(x) (SCM_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_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) ((0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
#define SCM_BIGP(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_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_P ((SCM x));
extern SCM scm_odd_p SCM_P ((SCM n));
extern SCM scm_even_p SCM_P ((SCM n));
extern SCM scm_abs SCM_P ((SCM x));
extern SCM scm_quotient SCM_P ((SCM x, SCM y));
extern SCM scm_remainder SCM_P ((SCM x, SCM y));
extern SCM scm_modulo SCM_P ((SCM x, SCM y));
extern SCM scm_gcd SCM_P ((SCM x, SCM y));
extern SCM scm_lcm SCM_P ((SCM n1, SCM n2));
extern SCM scm_logand SCM_P ((SCM n1, SCM n2));
extern SCM scm_logior SCM_P ((SCM n1, SCM n2));
extern SCM scm_logxor SCM_P ((SCM n1, SCM n2));
extern SCM scm_logtest SCM_P ((SCM n1, SCM n2));
extern SCM scm_logbit_p SCM_P ((SCM n1, SCM n2));
extern SCM scm_lognot SCM_P ((SCM n));
extern SCM scm_integer_expt SCM_P ((SCM z1, SCM z2));
extern SCM scm_ash SCM_P ((SCM n, SCM cnt));
extern SCM scm_bit_extract SCM_P ((SCM n, SCM start, SCM end));
extern SCM scm_logcount SCM_P ((SCM n));
extern SCM scm_integer_length SCM_P ((SCM n));
extern SCM scm_mkbig SCM_P ((scm_sizet nlen, int sign));
extern SCM scm_big2inum SCM_P ((SCM b, scm_sizet l));
extern SCM scm_adjbig SCM_P ((SCM b, scm_sizet nlen));
extern SCM scm_normbig SCM_P ((SCM b));
extern SCM scm_copybig SCM_P ((SCM b, int sign));
extern SCM scm_long2big SCM_P ((long n));
extern SCM scm_long_long2big SCM_P ((long_long n));
extern SCM scm_2ulong2big SCM_P ((unsigned long * np));
extern SCM scm_ulong2big SCM_P ((unsigned long n));
extern int scm_bigcomp SCM_P ((SCM x, SCM y));
extern long scm_pseudolong SCM_P ((long x));
extern void scm_longdigs SCM_P ((long x, SCM_BIGDIG digs[]));
extern SCM scm_addbig SCM_P ((SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny));
extern SCM scm_mulbig SCM_P ((SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn));
extern unsigned int scm_divbigdig SCM_P ((SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div));
extern SCM scm_divbigint SCM_P ((SCM x, long z, int sgn, int mode));
extern SCM scm_divbigbig SCM_P ((SCM_BIGDIG *x, scm_sizet nx, SCM_BIGDIG *y, scm_sizet ny, int sgn, int modes));
extern scm_sizet scm_iint2str SCM_P ((long num, int rad, char *p));
extern SCM scm_number_to_string SCM_P ((SCM x, SCM radix));
extern int scm_floprint SCM_P ((SCM sexp, SCM port, scm_print_state *pstate));
extern int scm_bigprint SCM_P ((SCM exp, SCM port, scm_print_state *pstate));
extern SCM scm_istr2int SCM_P ((char *str, long len, long radix));
extern SCM scm_istr2flo SCM_P ((char *str, long len, long radix));
extern SCM scm_istring2number SCM_P ((char *str, long len, long radix));
extern SCM scm_string_to_number SCM_P ((SCM str, SCM radix));
extern SCM scm_makdbl SCM_P ((double x, double y));
extern SCM scm_bigequal SCM_P ((SCM x, SCM y));
extern SCM scm_floequal SCM_P ((SCM x, SCM y));
extern SCM scm_number_p SCM_P ((SCM x));
extern SCM scm_real_p SCM_P ((SCM x));
extern SCM scm_integer_p SCM_P ((SCM x));
extern SCM scm_inexact_p SCM_P ((SCM x));
extern SCM scm_num_eq_p SCM_P ((SCM x, SCM y));
extern SCM scm_less_p SCM_P ((SCM x, SCM y));
extern SCM scm_gr_p SCM_P ((SCM x, SCM y));
extern SCM scm_leq_p SCM_P ((SCM x, SCM y));
extern SCM scm_geq_p SCM_P ((SCM x, SCM y));
extern SCM scm_zero_p SCM_P ((SCM z));
extern SCM scm_positive_p SCM_P ((SCM x));
extern SCM scm_negative_p SCM_P ((SCM x));
extern SCM scm_max SCM_P ((SCM x, SCM y));
extern SCM scm_min SCM_P ((SCM x, SCM y));
extern SCM scm_sum SCM_P ((SCM x, SCM y));
extern SCM scm_difference SCM_P ((SCM x, SCM y));
extern SCM scm_product SCM_P ((SCM x, SCM y));
extern double scm_num2dbl SCM_P ((SCM a, const char * why));
extern SCM scm_divide SCM_P ((SCM x, SCM y));
extern double scm_asinh SCM_P ((double x));
extern double scm_acosh SCM_P ((double x));
extern double scm_atanh SCM_P ((double x));
extern double scm_truncate SCM_P ((double x));
extern double scm_round SCM_P ((double x));
extern double scm_exact_to_inexact SCM_P ((double z));
extern SCM scm_sys_expt SCM_P ((SCM z1, SCM z2));
extern SCM scm_sys_atan2 SCM_P ((SCM z1, SCM z2));
extern SCM scm_make_rectangular SCM_P ((SCM z1, SCM z2));
extern SCM scm_make_polar SCM_P ((SCM z1, SCM z2));
extern SCM scm_real_part SCM_P ((SCM z));
extern SCM scm_imag_part SCM_P ((SCM z));
extern SCM scm_magnitude SCM_P ((SCM z));
extern SCM scm_angle SCM_P ((SCM z));
extern SCM scm_inexact_to_exact SCM_P ((SCM z));
extern SCM scm_trunc SCM_P ((SCM x));
extern SCM scm_dbl2big SCM_P ((double d));
extern double scm_big2dbl SCM_P ((SCM b));
extern SCM scm_long2num SCM_P ((long sl));
extern SCM scm_long_long2num SCM_P ((long_long sl));
extern SCM scm_ulong2num SCM_P ((unsigned long sl));
extern long scm_num2long SCM_P ((SCM num, char *pos, const char *s_caller));
extern long_long scm_num2long_long SCM_P ((SCM num, char *pos,
					   const char *s_caller));
extern unsigned long scm_num2ulong SCM_P ((SCM num, char *pos,
					   const char *s_caller));
extern void scm_init_numbers SCM_P ((void));

#endif  /* NUMBERSH */
Commit	Line	Data
0f2d19dd JB	1	/* classes: h_files */
	2
	3	#ifndef NUMBERSH
	4	#define NUMBERSH
7dc6e754	5	/* Copyright (C) 1995, 1996, 1998 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. */
0f2d19dd JB	45	\f
0f2d19dd JB	46
b4309c3c	47	#include "libguile/__scm.h"
0f2d19dd	48
34f74fe1 MD	49	#include "libguile/print.h"
34f74fe1 MD	50
0f2d19dd JB	51	\f
	52
	53
	54	/* Immediate Numbers
	55	*
	56	* Inums are exact integer data that fits within an SCM word.
	57	*
	58	* SCM_INUMP applies only to values known to be Scheme objects.
	59	* In particular, SCM_INUMP (SCM_CAR (x)) is valid only if x is known
	60	* to be a SCM_CONSP. If x is only known to be a SCM_NIMP,
	61	* SCM_INUMP (SCM_CAR (x)) can give wrong answers.
	62	*/
	63
	64	#define SCM_INUMP(x) (2 & (int)(x))
	65	#define SCM_NINUMP(x) (!SCM_INUMP(x))
	66
	67	#ifdef __TURBOC__
	68	/* shifts of more than one are done by a library call, single shifts are
	69	* performed in registers
	70	*/
	71	# define SCM_MAKINUM(x) ((((x)<<1)<<1)+2L)
	72	#else
	73	# define SCM_MAKINUM(x) (((x)<<2)+2L)
	74	#endif /* def __TURBOC__ */
	75
	76
	77	/* SCM_SRS is signed right shift */
	78	/* Turbo C++ v1.0 has a bug with right shifts of signed longs!
	79	* It is believed to be fixed in Turbo C++ v1.01
	80	*/
	81	#if (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295)
	82	# define SCM_SRS(x, y) ((x)>>y)
	83	# ifdef __TURBOC__
	84	# define SCM_INUM(x) (((x)>>1)>>1)
	85	# else
	86	# define SCM_INUM(x) SCM_SRS(x, 2)
	87	# endif /* def __TURBOC__ */
	88	#else
	89	# define SCM_SRS(x, y) (((x)<0) ? ~((~(x))>>y) : (x)>>y)
	90	# define SCM_INUM(x) SCM_SRS(x, 2)
	91	#endif /* (-1==(((-1)<<2)+2)>>2) && (__TURBOC__ != 0x295) */
	92
	93
	94	/* A name for 0.
	95	*/
	96	#define SCM_INUM0 ((SCM) 2)
	97
	98
	99
	100	/* SCM_FIXABLE is non-0 if its long argument can be encoded in an SCM_INUM.
	101	*/
08b5b88c MD	102	#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
	103	#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
	104	#define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
	105	#define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))
0f2d19dd JB	106
	107	/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
	108	* printed or scm_string representation of an exact immediate.
	109	*/
	110
	111	#ifndef SCM_CHAR_BIT
	112	# define SCM_CHAR_BIT 8
	113	#endif /* ndef SCM_CHAR_BIT */
	114	#ifndef SCM_LONG_BIT
	115	# define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
	116	#endif /* ndef SCM_LONG_BIT */
	117	#define SCM_INTBUFLEN (5+SCM_LONG_BIT)
	118
	119	/* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
	120	* printed or scm_string representation of an inexact number.
	121	*/
	122
	123	#define SCM_FLOBUFLEN (10+2(sizeof(double)/sizeof(char)SCM_CHAR_BIT*3+9)/10)
	124
	125
	126	\f
	127
	128	/* Numbers
	129	*/
	130
	131	#define SCM_INEXP(x) (SCM_TYP16(x)==scm_tc16_flo)
	132	#define SCM_CPLXP(x) (SCM_CAR(x)==scm_tc_dblc)
	133	#define SCM_REAL(x) ((((scm_dbl ) (SCM2PTR(x)))->real))
	134	#define SCM_IMAG(x) (((double )(SCM_CHARS(x)+sizeof(double))))
	135	/* ((&SCM_REAL(x))[1]) */
	136
	137
	138	#ifdef SCM_SINGLES
	139	#define SCM_REALP(x) ((~SCM_REAL_PART & SCM_CAR(x))==scm_tc_flo)
	140	#define SCM_SINGP(x) (SCM_CAR(x)==scm_tc_flo)
	141	#define SCM_FLO(x) (((scm_flo *)(SCM2PTR(x)))->num)
	142	#define SCM_REALPART(x) (SCM_SINGP(x)?0.0+SCM_FLO(x):SCM_REAL(x))
	143	#else /* SCM_SINGLES */
	144	#define SCM_REALP(x) (SCM_CAR(x)==scm_tc_dblr)
	145	#define SCM_REALPART SCM_REAL
	146	#endif /* SCM_SINGLES */
	147
	148
	149	/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
	150	* you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
	151	*
	152	* Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
	153	*/
	154	#ifdef BIGNUMS
	155	# ifdef _UNICOS
	156	# define SCM_DIGSTOOBIG
	157	# if (1L << 31) <= SCM_USHRT_MAX
	158	# define SCM_BIGDIG unsigned short
	159	# else
	160	# define SCM_BIGDIG unsigned int
	161	# endif /* (1L << 31) <= USHRT_MAX */
	162	# define SCM_BITSPERDIG 32
	163	# else
	164	# define SCM_BIGDIG unsigned short
	165	# define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
	166	# endif /* def _UNICOS */
	167
	168	# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
	169	# define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
0f2d19dd	170	# define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
08b5b88c	171	# define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
0f2d19dd JB	172	# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
0f2d19dd JB	173	# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
34f74fe1	174
0f2d19dd JB	175	#endif /* def BIGNUMS */
	176
	177	#ifndef SCM_BIGDIG
	178	/* Definition is not really used but helps various function
	179	* prototypes to compile with conditionalization.
	180	*/
	181	# define SCM_BIGDIG unsigned short
08b5b88c	182	# define SCM_NO_BIGDIG
0f2d19dd JB	183	# ifndef SCM_FLOATS
	184	# define SCM_INUMS_ONLY
	185	# endif /* ndef SCM_FLOATS */
	186	#endif /* ndef SCM_BIGDIG */
	187
	188	#ifdef SCM_FLOATS
	189	#define SCM_NUMBERP(x) (SCM_INUMP(x) \|\| (SCM_NIMP(x) && SCM_NUMP(x)))
9d0b279f MD	190	#ifdef SCM_BIGDIG
	191	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	192	? (double) SCM_INUM (x) \
	193	: (SCM_REALP (x) \
	194	? SCM_REALPART (x) \
	195	: scm_big2dbl (x)))
	196	#else
	197	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	198	? (double) SCM_INUM (x) \
	199	: SCM_REALPART (x))
	200	#endif
0f2d19dd JB	201	#else
	202	#ifdef SCM_BIGDIG
	203	#define SCM_NUMBERP(x) (SCM_INUMP(x) \|\| (SCM_NIMP(x) && SCM_NUMP(x)))
9d0b279f MD	204	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	205	? (double) SCM_INUM (x) \
	206	: scm_big2dbl (x))
0f2d19dd JB	207	#else
0f2d19dd JB	208	#define SCM_NUMBERP SCM_INUMP
9d0b279f	209	#define SCM_NUM2DBL(x) ((double) SCM_INUM (x))
0f2d19dd JB	210	#endif
	211	#endif
	212	#define SCM_NUMP(x) ((0xfcff & (int)SCM_CAR(x))==scm_tc7_smob)
	213	#define SCM_BIGP(x) (SCM_TYP16S(x)==scm_tc16_bigpos)
	214	#define SCM_BIGSIGN(x) (0x0100 & (int)SCM_CAR(x))
	215	#define SCM_BDIGITS(x) ((SCM_BIGDIG *)(SCM_CDR(x)))
	216	#define SCM_NUMDIGS(x) ((scm_sizet)(SCM_CAR(x)>>16))
a6c64c3c	217	#define SCM_SETNUMDIGS(x, v, t) SCM_SETCAR(x, (((v)+0L)<<16)+(t))
0f2d19dd JB	218	\f
	219
	220	#ifdef SCM_FLOATS
	221	typedef struct scm_dblproc
	222	{
	223	char *scm_string;
	224	double (*cproc) ();
	225	} scm_dblproc;
	226
	227	#ifdef SCM_SINGLES
	228	typedef struct scm_flo
	229	{
	230	SCM type;
	231	float num;
	232	} scm_flo;
	233	#endif
	234
	235	typedef struct scm_dbl
	236	{
	237	SCM type;
	238	double *real;
	239	} scm_dbl;
	240	#endif
	241
	242
	243
	244	\f
0f2d19dd	245
1cc91f1b JB	246	extern SCM scm_exact_p SCM_P ((SCM x));
	247	extern SCM scm_odd_p SCM_P ((SCM n));
	248	extern SCM scm_even_p SCM_P ((SCM n));
	249	extern SCM scm_abs SCM_P ((SCM x));
	250	extern SCM scm_quotient SCM_P ((SCM x, SCM y));
	251	extern SCM scm_remainder SCM_P ((SCM x, SCM y));
	252	extern SCM scm_modulo SCM_P ((SCM x, SCM y));
	253	extern SCM scm_gcd SCM_P ((SCM x, SCM y));
	254	extern SCM scm_lcm SCM_P ((SCM n1, SCM n2));
	255	extern SCM scm_logand SCM_P ((SCM n1, SCM n2));
	256	extern SCM scm_logior SCM_P ((SCM n1, SCM n2));
	257	extern SCM scm_logxor SCM_P ((SCM n1, SCM n2));
	258	extern SCM scm_logtest SCM_P ((SCM n1, SCM n2));
	259	extern SCM scm_logbit_p SCM_P ((SCM n1, SCM n2));
	260	extern SCM scm_lognot SCM_P ((SCM n));
	261	extern SCM scm_integer_expt SCM_P ((SCM z1, SCM z2));
	262	extern SCM scm_ash SCM_P ((SCM n, SCM cnt));
	263	extern SCM scm_bit_extract SCM_P ((SCM n, SCM start, SCM end));
	264	extern SCM scm_logcount SCM_P ((SCM n));
	265	extern SCM scm_integer_length SCM_P ((SCM n));
	266	extern SCM scm_mkbig SCM_P ((scm_sizet nlen, int sign));
	267	extern SCM scm_big2inum SCM_P ((SCM b, scm_sizet l));
	268	extern SCM scm_adjbig SCM_P ((SCM b, scm_sizet nlen));
	269	extern SCM scm_normbig SCM_P ((SCM b));
	270	extern SCM scm_copybig SCM_P ((SCM b, int sign));
	271	extern SCM scm_long2big SCM_P ((long n));
	272	extern SCM scm_long_long2big SCM_P ((long_long n));
	273	extern SCM scm_2ulong2big SCM_P ((unsigned long * np));
	274	extern SCM scm_ulong2big SCM_P ((unsigned long n));
	275	extern int scm_bigcomp SCM_P ((SCM x, SCM y));
	276	extern long scm_pseudolong SCM_P ((long x));
	277	extern void scm_longdigs SCM_P ((long x, SCM_BIGDIG digs[]));
	278	extern SCM scm_addbig SCM_P ((SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny));
	279	extern SCM scm_mulbig SCM_P ((SCM_BIGDIG x, scm_sizet nx, SCM_BIGDIG y, scm_sizet ny, int sgn));
	280	extern unsigned int scm_divbigdig SCM_P ((SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div));
	281	extern SCM scm_divbigint SCM_P ((SCM x, long z, int sgn, int mode));
	282	extern SCM scm_divbigbig SCM_P ((SCM_BIGDIG x, scm_sizet nx, SCM_BIGDIG y, scm_sizet ny, int sgn, int modes));
	283	extern scm_sizet scm_iint2str SCM_P ((long num, int rad, char *p));
	284	extern SCM scm_number_to_string SCM_P ((SCM x, SCM radix));
	285	extern int scm_floprint SCM_P ((SCM sexp, SCM port, scm_print_state *pstate));
	286	extern int scm_bigprint SCM_P ((SCM exp, SCM port, scm_print_state *pstate));
	287	extern SCM scm_istr2int SCM_P ((char *str, long len, long radix));
	288	extern SCM scm_istr2flo SCM_P ((char *str, long len, long radix));
	289	extern SCM scm_istring2number SCM_P ((char *str, long len, long radix));
	290	extern SCM scm_string_to_number SCM_P ((SCM str, SCM radix));
	291	extern SCM scm_makdbl SCM_P ((double x, double y));
	292	extern SCM scm_bigequal SCM_P ((SCM x, SCM y));
	293	extern SCM scm_floequal SCM_P ((SCM x, SCM y));
	294	extern SCM scm_number_p SCM_P ((SCM x));
	295	extern SCM scm_real_p SCM_P ((SCM x));
bebdc83a	296	extern SCM scm_integer_p SCM_P ((SCM x));
1cc91f1b JB	297	extern SCM scm_inexact_p SCM_P ((SCM x));
	298	extern SCM scm_num_eq_p SCM_P ((SCM x, SCM y));
	299	extern SCM scm_less_p SCM_P ((SCM x, SCM y));
	300	extern SCM scm_gr_p SCM_P ((SCM x, SCM y));
	301	extern SCM scm_leq_p SCM_P ((SCM x, SCM y));
	302	extern SCM scm_geq_p SCM_P ((SCM x, SCM y));
	303	extern SCM scm_zero_p SCM_P ((SCM z));
	304	extern SCM scm_positive_p SCM_P ((SCM x));
	305	extern SCM scm_negative_p SCM_P ((SCM x));
	306	extern SCM scm_max SCM_P ((SCM x, SCM y));
	307	extern SCM scm_min SCM_P ((SCM x, SCM y));
	308	extern SCM scm_sum SCM_P ((SCM x, SCM y));
	309	extern SCM scm_difference SCM_P ((SCM x, SCM y));
	310	extern SCM scm_product SCM_P ((SCM x, SCM y));
3eeba8d4	311	extern double scm_num2dbl SCM_P ((SCM a, const char * why));
1cc91f1b JB	312	extern SCM scm_divide SCM_P ((SCM x, SCM y));
	313	extern double scm_asinh SCM_P ((double x));
	314	extern double scm_acosh SCM_P ((double x));
	315	extern double scm_atanh SCM_P ((double x));
	316	extern double scm_truncate SCM_P ((double x));
	317	extern double scm_round SCM_P ((double x));
	318	extern double scm_exact_to_inexact SCM_P ((double z));
	319	extern SCM scm_sys_expt SCM_P ((SCM z1, SCM z2));
	320	extern SCM scm_sys_atan2 SCM_P ((SCM z1, SCM z2));
	321	extern SCM scm_make_rectangular SCM_P ((SCM z1, SCM z2));
	322	extern SCM scm_make_polar SCM_P ((SCM z1, SCM z2));
	323	extern SCM scm_real_part SCM_P ((SCM z));
	324	extern SCM scm_imag_part SCM_P ((SCM z));
	325	extern SCM scm_magnitude SCM_P ((SCM z));
	326	extern SCM scm_angle SCM_P ((SCM z));
	327	extern SCM scm_inexact_to_exact SCM_P ((SCM z));
	328	extern SCM scm_trunc SCM_P ((SCM x));
	329	extern SCM scm_dbl2big SCM_P ((double d));
	330	extern double scm_big2dbl SCM_P ((SCM b));
	331	extern SCM scm_long2num SCM_P ((long sl));
	332	extern SCM scm_long_long2num SCM_P ((long_long sl));
	333	extern SCM scm_ulong2num SCM_P ((unsigned long sl));
3eeba8d4 JB	334	extern long scm_num2long SCM_P ((SCM num, char pos, const char s_caller));
	335	extern long_long scm_num2long_long SCM_P ((SCM num, char *pos,
	336	const char *s_caller));
	337	extern unsigned long scm_num2ulong SCM_P ((SCM num, char *pos,
	338	const char *s_caller));
1cc91f1b	339	extern void scm_init_numbers SCM_P ((void));
0f2d19dd JB	340
0f2d19dd JB	341	#endif /* NUMBERSH */