[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_MAXEXP is the maximum double precision expontent
 * SCM_FLTMAX is less than or scm_equal the largest single precision float
 */

#ifdef STDC_HEADERS
#ifndef GO32
#include <float.h>
#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_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_NEWREAL(z, x) \
  do { \
    SCM_NEWCELL2 (z); \
    SCM_SETCAR (z, scm_tc16_real); \
    SCM_REAL_VALUE (z) = (x); \
  } while (0) \

#define SCM_NEWCOMPLEX(z, x, y)	\
  do { \
    double __SCM_complex_tmp = (y); \
    if (__SCM_complex_tmp == 0.0) \
      SCM_NEWREAL (z, x); \
    else \
      { \
        SCM_NEWSMOB (z, scm_tc16_complex, \
		     scm_must_malloc (2L * sizeof (double), "complex")); \
        SCM_COMPLEX_REAL (z) = (x); \
        SCM_COMPLEX_IMAG (z) = __SCM_complex_tmp; \
      } \
  } while (0) \

#define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
#define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
#define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
#define SCM_INEXACTP(x) (SCM_NIMP (x) && SCM_TYP16S (x) == scm_tc16_real)
#define SCM_REALP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_real)
#define SCM_COMPLEXP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_complex)

#define SCM_INEXP(x) SCM_INEXACTP(x) /* Deprecated */
#define SCM_CPLXP(x) SCM_COMPLEXP(x) /* Deprecated */

#define SCM_REAL_VALUE(x) (((scm_double_t *) SCM2PTR (x))->real)
#define SCM_COMPLEX_REAL(x) (((scm_complex_t *) SCM_CDR (x))->real)
#define SCM_COMPLEX_IMAG(x) (((scm_complex_t *) SCM_CDR (x))->imag)
#define SCM_REAL(x) \
 (SCM_SLOPPY_REALP (x) \
  ? SCM_REAL_VALUE (x) \
  : SCM_COMPLEX_REAL (x)) \

#define SCM_IMAG(x) \
  (SCM_SLOPPY_REALP (x) \
   ? 0.0 \
   : SCM_COMPLEX_IMAG (x)) \

#define SCM_REALPART(x) \
  (SCM_SLOPPY_REALP (x) ? SCM_REAL_VALUE (x) : SCM_COMPLEX_REAL (x))

#define scm_makdbl scm_make_complex /* Deprecated */
#define SCM_SINGP(x) SCM_BOOL_F /* Deprecated */

/* 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
#endif /* ndef SCM_BIGDIG */

#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
#define SCM_NUMP(x) \
  (SCM_NIMP(x) && (0xfcff & (int) SCM_CAR(x)) == scm_tc7_smob)
#define SCM_BIGP(x) SCM_SMOB_PREDICATE (scm_tc16_big, x)
#define SCM_BIGSIGNFLAG 0x10000L
#define SCM_BIGSIZEFIELD 17
#define SCM_BIGSIGN(x) (SCM_UNPACK_CAR (x) & SCM_BIGSIGNFLAG)
#define SCM_BDIGITS(x) ((SCM_BIGDIG *) (SCM_CDR (x)))
#define SCM_NUMDIGS(x) ((scm_sizet) (SCM_UNPACK_CAR (x) >> SCM_BIGSIZEFIELD))
#define SCM_SETNUMDIGS(x, v, sign) \
  SCM_SETCAR (x, \
	      scm_tc16_big \
	      | ((sign) ? SCM_BIGSIGNFLAG : 0) \
	      | (((v) + 0L) << 17)) \

\f

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

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

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


\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_print_real (SCM sexp, SCM port, scm_print_state *pstate);
extern int scm_print_complex (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_make_real (double x);
extern SCM scm_make_complex (double x, double y);
extern SCM scm_makdbl (double x, double y);
extern SCM scm_bigequal (SCM x, SCM y);
extern SCM scm_real_equalp (SCM x, SCM y);
extern SCM scm_complex_equalp (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
88eb6852 MD	104	/* SCM_MAXEXP is the maximum double precision expontent
	105	* SCM_FLTMAX is less than or scm_equal the largest single precision float
	106	*/
	107
	108	#ifdef STDC_HEADERS
	109	#ifndef GO32
	110	#include <float.h>
	111	#endif /* ndef GO32 */
	112	#endif /* def STDC_HEADERS */
	113	#ifdef DBL_MAX_10_EXP
	114	#define SCM_MAXEXP DBL_MAX_10_EXP
	115	#else
	116	#define SCM_MAXEXP 308 /* IEEE doubles */
	117	#endif /* def DBL_MAX_10_EXP */
	118	#ifdef FLT_MAX
	119	#define SCM_FLTMAX FLT_MAX
	120	#else
	121	#define SCM_FLTMAX 1e+23
	122	#endif /* def FLT_MAX */
	123
0f2d19dd JB	124
	125	/* SCM_FIXABLE is non-0 if its long argument can be encoded in an SCM_INUM.
	126	*/
08b5b88c MD	127	#define SCM_POSFIXABLE(n) ((n) <= SCM_MOST_POSITIVE_FIXNUM)
	128	#define SCM_NEGFIXABLE(n) ((n) >= SCM_MOST_NEGATIVE_FIXNUM)
	129	#define SCM_UNEGFIXABLE(n) ((n) <= -SCM_MOST_NEGATIVE_FIXNUM)
	130	#define SCM_FIXABLE(n) (SCM_POSFIXABLE(n) && SCM_NEGFIXABLE(n))
0f2d19dd JB	131
	132	/* SCM_INTBUFLEN is the maximum number of characters neccessary for the
	133	* printed or scm_string representation of an exact immediate.
	134	*/
	135
	136	#ifndef SCM_CHAR_BIT
	137	# define SCM_CHAR_BIT 8
	138	#endif /* ndef SCM_CHAR_BIT */
	139	#ifndef SCM_LONG_BIT
	140	# define SCM_LONG_BIT (SCM_CHAR_BIT*sizeof(long)/sizeof(char))
	141	#endif /* ndef SCM_LONG_BIT */
	142	#define SCM_INTBUFLEN (5+SCM_LONG_BIT)
	143
	144	/* SCM_FLOBUFLEN is the maximum number of characters neccessary for the
	145	* printed or scm_string representation of an inexact number.
	146	*/
	147
	148	#define SCM_FLOBUFLEN (10+2(sizeof(double)/sizeof(char)SCM_CHAR_BIT*3+9)/10)
	149
	150
	151	\f
	152
	153	/* Numbers
	154	*/
	155
88eb6852 MD	156	#define SCM_NEWREAL(z, x) \
	157	do { \
	158	SCM_NEWCELL2 (z); \
	159	SCM_SETCAR (z, scm_tc16_real); \
	160	SCM_REAL_VALUE (z) = (x); \
	161	} while (0) \
	162
	163	#define SCM_NEWCOMPLEX(z, x, y) \
	164	do { \
	165	double __SCM_complex_tmp = (y); \
	166	if (__SCM_complex_tmp == 0.0) \
	167	SCM_NEWREAL (z, x); \
	168	else \
	169	{ \
	170	SCM_NEWSMOB (z, scm_tc16_complex, \
	171	scm_must_malloc (2L * sizeof (double), "complex")); \
	172	SCM_COMPLEX_REAL (z) = (x); \
	173	SCM_COMPLEX_IMAG (z) = __SCM_complex_tmp; \
	174	} \
	175	} while (0) \
	176
	177	#define SCM_SLOPPY_INEXACTP(x) (SCM_TYP16S (x) == scm_tc16_real)
	178	#define SCM_SLOPPY_REALP(x) (SCM_TYP16 (x) == scm_tc16_real)
	179	#define SCM_SLOPPY_COMPLEXP(x) (SCM_TYP16 (x) == scm_tc16_complex)
	180	#define SCM_INEXACTP(x) (SCM_NIMP (x) && SCM_TYP16S (x) == scm_tc16_real)
	181	#define SCM_REALP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_real)
	182	#define SCM_COMPLEXP(x) (SCM_NIMP (x) && SCM_TYP16 (x) == scm_tc16_complex)
	183
	184	#define SCM_INEXP(x) SCM_INEXACTP(x) /* Deprecated */
	185	#define SCM_CPLXP(x) SCM_COMPLEXP(x) /* Deprecated */
	186
	187	#define SCM_REAL_VALUE(x) (((scm_double_t *) SCM2PTR (x))->real)
	188	#define SCM_COMPLEX_REAL(x) (((scm_complex_t *) SCM_CDR (x))->real)
	189	#define SCM_COMPLEX_IMAG(x) (((scm_complex_t *) SCM_CDR (x))->imag)
	190	#define SCM_REAL(x) \
	191	(SCM_SLOPPY_REALP (x) \
	192	? SCM_REAL_VALUE (x) \
	193	: SCM_COMPLEX_REAL (x)) \
	194
	195	#define SCM_IMAG(x) \
	196	(SCM_SLOPPY_REALP (x) \
	197	? 0.0 \
	198	: SCM_COMPLEX_IMAG (x)) \
	199
	200	#define SCM_REALPART(x) \
	201	(SCM_SLOPPY_REALP (x) ? SCM_REAL_VALUE (x) : SCM_COMPLEX_REAL (x))
	202
	203	#define scm_makdbl scm_make_complex /* Deprecated */
	204	#define SCM_SINGP(x) SCM_BOOL_F /* Deprecated */
0f2d19dd JB	205
	206	/* Define SCM_BIGDIG to an integer type whose size is smaller than long if
	207	* you want bignums. SCM_BIGRAD is one greater than the biggest SCM_BIGDIG.
	208	*
	209	* Define SCM_DIGSTOOBIG if the digits equivalent to a long won't fit in a long.
	210	*/
	211	#ifdef BIGNUMS
	212	# ifdef _UNICOS
	213	# define SCM_DIGSTOOBIG
	214	# if (1L << 31) <= SCM_USHRT_MAX
	215	# define SCM_BIGDIG unsigned short
	216	# else
	217	# define SCM_BIGDIG unsigned int
	218	# endif /* (1L << 31) <= USHRT_MAX */
	219	# define SCM_BITSPERDIG 32
	220	# else
	221	# define SCM_BIGDIG unsigned short
	222	# define SCM_BITSPERDIG (sizeof(SCM_BIGDIG)*SCM_CHAR_BIT)
	223	# endif /* def _UNICOS */
	224
	225	# define SCM_BIGRAD (1L << SCM_BITSPERDIG)
	226	# define SCM_DIGSPERLONG ((scm_sizet)((sizeof(long)*SCM_CHAR_BIT+SCM_BITSPERDIG-1)/SCM_BITSPERDIG))
0f2d19dd	227	# define SCM_BIGUP(x) ((unsigned long)(x) << SCM_BITSPERDIG)
08b5b88c	228	# define SCM_LONGLONGBIGUP(x) ((ulong_long)(x) << SCM_BITSPERDIG)
0f2d19dd JB	229	# define SCM_BIGDN(x) ((x) >> SCM_BITSPERDIG)
0f2d19dd JB	230	# define SCM_BIGLO(x) ((x) & (SCM_BIGRAD-1))
34f74fe1	231
0f2d19dd JB	232	#endif /* def BIGNUMS */
	233
	234	#ifndef SCM_BIGDIG
	235	/* Definition is not really used but helps various function
	236	* prototypes to compile with conditionalization.
	237	*/
	238	# define SCM_BIGDIG unsigned short
08b5b88c	239	# define SCM_NO_BIGDIG
0f2d19dd JB	240	#endif /* ndef SCM_BIGDIG */
0f2d19dd JB	241
0f2d19dd	242	#define SCM_NUMBERP(x) (SCM_INUMP(x) \|\| (SCM_NIMP(x) && SCM_NUMP(x)))
9d0b279f MD	243	#ifdef SCM_BIGDIG
	244	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	245	? (double) SCM_INUM (x) \
	246	: (SCM_REALP (x) \
	247	? SCM_REALPART (x) \
	248	: scm_big2dbl (x)))
	249	#else
	250	#define SCM_NUM2DBL(x) (SCM_INUMP (x) \
	251	? (double) SCM_INUM (x) \
	252	: SCM_REALPART (x))
	253	#endif
88eb6852 MD	254	#define SCM_NUMP(x) \
	255	(SCM_NIMP(x) && (0xfcff & (int) SCM_CAR(x)) == scm_tc7_smob)
	256	#define SCM_BIGP(x) SCM_SMOB_PREDICATE (scm_tc16_big, x)
	257	#define SCM_BIGSIGNFLAG 0x10000L
	258	#define SCM_BIGSIZEFIELD 17
	259	#define SCM_BIGSIGN(x) (SCM_UNPACK_CAR (x) & SCM_BIGSIGNFLAG)
	260	#define SCM_BDIGITS(x) ((SCM_BIGDIG *) (SCM_CDR (x)))
	261	#define SCM_NUMDIGS(x) ((scm_sizet) (SCM_UNPACK_CAR (x) >> SCM_BIGSIZEFIELD))
	262	#define SCM_SETNUMDIGS(x, v, sign) \
	263	SCM_SETCAR (x, \
	264	scm_tc16_big \
	265	\| ((sign) ? SCM_BIGSIGNFLAG : 0) \
	266	\| (((v) + 0L) << 17)) \
	267
0f2d19dd JB	268	\f
0f2d19dd JB	269
0f2d19dd JB	270	typedef struct scm_dblproc
	271	{
	272	char *scm_string;
	273	double (*cproc) ();
	274	} scm_dblproc;
	275
88eb6852	276	typedef struct scm_double_t
0f2d19dd JB	277	{
0f2d19dd JB	278	SCM type;
88eb6852 MD	279	SCM pad;
	280	double real;
	281	} scm_double_t;
0f2d19dd	282
88eb6852	283	typedef struct scm_complex_t
0f2d19dd	284	{
88eb6852 MD	285	double real;
	286	double imag;
	287	} scm_complex_t;
0f2d19dd JB	288
	289
	290	\f
0f2d19dd	291
7866a09b GB	292	extern SCM scm_exact_p (SCM x);
	293	extern SCM scm_odd_p (SCM n);
	294	extern SCM scm_even_p (SCM n);
	295	extern SCM scm_abs (SCM x);
	296	extern SCM scm_quotient (SCM x, SCM y);
	297	extern SCM scm_remainder (SCM x, SCM y);
	298	extern SCM scm_modulo (SCM x, SCM y);
	299	extern SCM scm_gcd (SCM x, SCM y);
	300	extern SCM scm_lcm (SCM n1, SCM n2);
	301	extern SCM scm_logand (SCM n1, SCM n2);
	302	extern SCM scm_logior (SCM n1, SCM n2);
	303	extern SCM scm_logxor (SCM n1, SCM n2);
	304	extern SCM scm_logtest (SCM n1, SCM n2);
	305	extern SCM scm_logbit_p (SCM n1, SCM n2);
	306	extern SCM scm_lognot (SCM n);
	307	extern SCM scm_integer_expt (SCM z1, SCM z2);
	308	extern SCM scm_ash (SCM n, SCM cnt);
	309	extern SCM scm_bit_extract (SCM n, SCM start, SCM end);
	310	extern SCM scm_logcount (SCM n);
	311	extern SCM scm_integer_length (SCM n);
	312	extern SCM scm_mkbig (scm_sizet nlen, int sign);
	313	extern SCM scm_big2inum (SCM b, scm_sizet l);
	314	extern SCM scm_adjbig (SCM b, scm_sizet nlen);
	315	extern SCM scm_normbig (SCM b);
	316	extern SCM scm_copybig (SCM b, int sign);
	317	extern SCM scm_long2big (long n);
	318	extern SCM scm_long_long2big (long_long n);
	319	extern SCM scm_2ulong2big (unsigned long * np);
	320	extern SCM scm_ulong2big (unsigned long n);
	321	extern int scm_bigcomp (SCM x, SCM y);
	322	extern long scm_pseudolong (long x);
	323	extern void scm_longdigs (long x, SCM_BIGDIG digs[]);
	324	extern SCM scm_addbig (SCM_BIGDIG *x, scm_sizet nx, int xsgn, SCM bigy, int sgny);
	325	extern SCM scm_mulbig (SCM_BIGDIG x, scm_sizet nx, SCM_BIGDIG y, scm_sizet ny, int sgn);
	326	extern unsigned int scm_divbigdig (SCM_BIGDIG *ds, scm_sizet h, SCM_BIGDIG div);
	327	extern SCM scm_divbigint (SCM x, long z, int sgn, int mode);
	328	extern SCM scm_divbigbig (SCM_BIGDIG x, scm_sizet nx, SCM_BIGDIG y, scm_sizet ny, int sgn, int modes);
	329	extern scm_sizet scm_iint2str (long num, int rad, char *p);
	330	extern SCM scm_number_to_string (SCM x, SCM radix);
88eb6852 MD	331	extern int scm_print_real (SCM sexp, SCM port, scm_print_state *pstate);
88eb6852 MD	332	extern int scm_print_complex (SCM sexp, SCM port, scm_print_state *pstate);
7866a09b GB	333	extern int scm_bigprint (SCM exp, SCM port, scm_print_state *pstate);
	334	extern SCM scm_istr2int (char *str, long len, long radix);
	335	extern SCM scm_istr2flo (char *str, long len, long radix);
	336	extern SCM scm_istring2number (char *str, long len, long radix);
	337	extern SCM scm_string_to_number (SCM str, SCM radix);
88eb6852 MD	338	extern SCM scm_make_real (double x);
88eb6852 MD	339	extern SCM scm_make_complex (double x, double y);
7866a09b GB	340	extern SCM scm_makdbl (double x, double y);
7866a09b GB	341	extern SCM scm_bigequal (SCM x, SCM y);
88eb6852 MD	342	extern SCM scm_real_equalp (SCM x, SCM y);
88eb6852 MD	343	extern SCM scm_complex_equalp (SCM x, SCM y);
7866a09b GB	344	extern SCM scm_number_p (SCM x);
	345	extern SCM scm_real_p (SCM x);
	346	extern SCM scm_integer_p (SCM x);
	347	extern SCM scm_inexact_p (SCM x);
	348	extern SCM scm_num_eq_p (SCM x, SCM y);
	349	extern SCM scm_less_p (SCM x, SCM y);
	350	extern SCM scm_gr_p (SCM x, SCM y);
	351	extern SCM scm_leq_p (SCM x, SCM y);
	352	extern SCM scm_geq_p (SCM x, SCM y);
	353	extern SCM scm_zero_p (SCM z);
	354	extern SCM scm_positive_p (SCM x);
	355	extern SCM scm_negative_p (SCM x);
	356	extern SCM scm_max (SCM x, SCM y);
	357	extern SCM scm_min (SCM x, SCM y);
	358	extern SCM scm_sum (SCM x, SCM y);
	359	extern SCM scm_difference (SCM x, SCM y);
	360	extern SCM scm_product (SCM x, SCM y);
	361	extern double scm_num2dbl (SCM a, const char * why);
	362	extern SCM scm_divide (SCM x, SCM y);
	363	extern double scm_asinh (double x);
	364	extern double scm_acosh (double x);
	365	extern double scm_atanh (double x);
	366	extern double scm_truncate (double x);
	367	extern double scm_round (double x);
	368	extern double scm_exact_to_inexact (double z);
	369	extern SCM scm_sys_expt (SCM z1, SCM z2);
	370	extern SCM scm_sys_atan2 (SCM z1, SCM z2);
	371	extern SCM scm_make_rectangular (SCM z1, SCM z2);
	372	extern SCM scm_make_polar (SCM z1, SCM z2);
	373	extern SCM scm_real_part (SCM z);
	374	extern SCM scm_imag_part (SCM z);
	375	extern SCM scm_magnitude (SCM z);
	376	extern SCM scm_angle (SCM z);
	377	extern SCM scm_inexact_to_exact (SCM z);
	378	extern SCM scm_trunc (SCM x);
	379	extern SCM scm_dbl2big (double d);
	380	extern double scm_big2dbl (SCM b);
	381	extern SCM scm_long2num (long sl);
	382	extern SCM scm_long_long2num (long_long sl);
	383	extern SCM scm_ulong2num (unsigned long sl);
	384	extern long scm_num2long (SCM num, char pos, const char s_caller);
	385	extern long_long scm_num2long_long (SCM num, char *pos,
	386	const char *s_caller);
	387	extern unsigned long scm_num2ulong (SCM num, char *pos,
	388	const char *s_caller);
	389	extern void scm_init_numbers (void);
0f2d19dd JB	390
0f2d19dd JB	391	#endif /* NUMBERSH */